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Journal articles on the topic 'Noise induced coherence'

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Author: Grafiati

Published: 11 March 2023

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1

Cao, Chun Yan, Shui Dong Xiong, Zheng Liang Hu, and Yong Ming Hu. "Suppression of Double Rayleigh Scattering Induced Coherent Noise in a Remote Fiber Sensor System Using PGC Technique." Advanced Materials Research 571 (September 2012): 185–89. http://dx.doi.org/10.4028/www.scientific.net/amr.571.185.

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Double Rayleigh scattering (DRS) induces coherent noises in remotely interrogated optical fiber sensor systems especially when high coherence laser sources are used. Phase generation carried (PGC) technique has been used in optical fiber sensors to overcome bias induced signal fading and eliminated incoherent noises at low frequency. In this paper we demonstrated that PGC technique can also suppress DRS induced coherent noises. In an experimental setup with total 50-km input and output lead fibers, we achieved maximum 7dB of intensity noise suppression and maximum 10dB of phase noise suppression. With PGC technique, DRS induced phase noise has been suppressed to the sensor self-noise level.

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2

LIM, WOOCHANG, and SANG-YOON KIM. "COUPLING-INDUCED SPIKING COHERENCE IN COUPLED SUBTHRESHOLD NEURONS." International Journal of Modern Physics B 23, no. 09 (April 10, 2009): 2149–57. http://dx.doi.org/10.1142/s0217979209052431.

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We consider a large ensemble of globally coupled subthreshold Morris–Lecar neurons. We numerically investigate collective coherence of noise-induced spikings by varying the coupling strength J. As J passes a lower threshold, a transition to collective spiking coherence, which is described in terms of an order parameter, occurs because the coupling stimulates coherence between noise-induced spikings. However, when passing a higher threshold, the coupling induces oscillator death (i.e., quenching of noise-induced spikings) because each neuron is attracted to a noisy equilibrium state. Through competition of these two different roles of coupling, coupling-induced spiking coherence is found to occur in a large range of intermediate coupling strength. The degree of spiking coherence is well-characterized in terms of a coherence measure reflecting the degree of "resemblance" of the global potential to the local potential.

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3

SHERSTNEV, V. V., A. KRIER, A. G. BALANOV, N. B. JANSON, A. N. SILCHENKO, and P. V. E. McCLINTOCK. "MID-INFRARED LASING INDUCED BY NOISE." Fluctuation and Noise Letters 03, no. 01 (March 2003): L91—L95. http://dx.doi.org/10.1142/s0219477503001129.

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We demonstrate that external noise can play a constructive role in a laser diode, inducing coherent mid-infrared radiation. Depending on noise intensity, the induced lasing can be either unimode or mulitimode. The coherence of the radiation in each mode reaches its maximum at an optimal noise intensity that differs depending on the mode. The phenomenon can therefore be classified as a multiple coherence resonance.

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4

LIM, WOOCHANG, and SANG-YOON KIM. "STOCHASTIC SPIKING COHERENCE IN COUPLED SUBTHRESHOLD MORRIS-LECAR NEURONS." International Journal of Modern Physics B 23, no. 05 (February 20, 2009): 703–10. http://dx.doi.org/10.1142/s0217979209049991.

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We consider a large population of globally coupled subthreshold Morris-Lecar neurons. By varying the noise intensity D, we numerically investigate stochastic spiking coherence (i.e., collective coherence between noise-induced neural spikings). As D passes a lower threshold, a transition from an incoherent to a coherent state occurs because of a constructive role of noise to stimulate coherence between noise-induced spikings. However, when passing a higher threshold of D, another transition from a coherent to an incoherent state takes place due to a destructive role of noise to spoil the spiking coherence. Such an incoherence-coherence-incoherence transition is well-described in terms of the order parameter which is just the mean square deviation of the global potential. In the coherent regime, we also characterize the degree of stochastic spiking coherence by using a coherence measure which reflects the degree of "resemblance" of the global potential to the local potential. Thus, stochastic spiking coherence with large coherence measure is found to occur over a large range of intermediate noise intensity.

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5

Dodin, Amro, and Paul Brumer. "Noise-induced coherence in molecular processes." Journal of Physics B: Atomic, Molecular and Optical Physics 54, no. 22 (November 17, 2021): 223001. http://dx.doi.org/10.1088/1361-6455/ac3e77.

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Abstract Excitation of molecules by incident incoherent electromagnetic radiation, such as sunlight, is described in detail and contrasted with the effect of coherent (e.g. laser) light. The nature of the quantum coherences induced by the former, relevant to transport processes in nature and in technology, is emphasized. Both equilibrium and steady state scenarios are discussed, three examples: simple models, calcium excitation in polarized light, and the isomerization of retinal in rhodopsin are used to expose the underlying qualitative nature of the established coherences.

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6

Wu, Kaijun, Huan Zheng, and Tao Li. "Coherence Resonance Behavior of FitzHugh-Nagumo Neurons Induced by Electromagnetic Field Driven by Phase Noise." Discrete Dynamics in Nature and Society 2022 (January 27, 2022): 1–18. http://dx.doi.org/10.1155/2022/8384444.

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Noise exists widely in the nervous system, and plays a crucial role in the nervous system information processing. Noise can not only enhance but also weaken the ability of the nervous system to process information. Neurons are in a complex and variable electromagnetic field. Electromagnetic induction plays an important role in regulating the changes of neuronal membrane potential. Therefore, this paper simulates the electromagnetic field environment of the nervous system with a memristor and analyses the rich coherence resonance behavior of FitzHugh-Nagumo (FHN) neuron system under the drive of phase noise. By taking the amplitude, period and noise intensity of phase noise as the main parameters and the parameters of memristor as auxiliary parameters, the two-parameter changes are made from the angle of the amplitude and period of phase noise, the amplitude and intensity of phase noise, and the noise intensity and period of phase noise, respectively. The dynamic behaviors of coherent resonance of FHN neuron system are analyzed from the amplitude and period, amplitude and intensity as well as intensity and period of phase noise, respectively. When the amplitude and period of the phase noise and the intensity and period of the phase noise are used as independent variables for the two-parameter analysis, the FHN neuron system shows rich dynamic behaviors such as coherence mono-resonance, coherence bi-resonance and coherence multi-resonance. Especially when the amplitude and period of phase noise change as two-parameter, the system presents a coherence resonance of discharge pattern with period-adding cluster discharge at the valley. When the amplitude and intensity of phase noise are taken as independent variables for two-parameter analysis, FHN neuronal system presents single or dual coherence resonance at any value of noise intensity with the change of phase noise amplitude. The simulated results show that the FHN neuron system demonstrates rich coherence resonance behaviors under the drive of phase noise when the effect of electromagnetic induction in the nervous system is simulated by memristor.

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7

Rappel, Wouter-Jan, and Alain Karma. "Noise-Induced Coherence in Neural Networks." Physical Review Letters 77, no. 15 (October 7, 1996): 3256–59. http://dx.doi.org/10.1103/physrevlett.77.3256.

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8

Carter, Jerry A., Noel Barstow, Paul W. Pomeroy, Eric P. Chael, and Patrick J. Leahy. "High-frequency seismic noise as a function of depth." Bulletin of the Seismological Society of America 81, no. 4 (August 1, 1991): 1101–14. http://dx.doi.org/10.1785/bssa0810041101.

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Abstract Evidence is presented supporting the view that high-frequency seismic noise decreases with increased depth. Noise amplitudes are higher near the free surface where surface-wave noise, cultural noise, and natural (wind-induced) noise predominate. Data were gathered at a hard-rock site in the northwestern Adirondack lowlands of northern New York. Between 15- and 40-Hz noise levels at this site are more than 10 dB less at 945-m depth than they are at the surface, and from 40 to 100 Hz the difference is more than 20 dB. In addition, time variability of the spectra is shown to be greater at the surface than at either 335- or 945-m depths. Part of the difference between the surface and subsurface noise variability may be related to wind-induced noise. Coherency measurements between orthogonal components of motion show high-frequency seismic noise is more highly organized at the surface than it is at depth. Coherency measurements between the same component of motion at different vertical offsets show a strong low-frequency coherence at least up to 945-m vertical offsets. As the vertical offset decreases, the frequency band of high coherence increases.

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9

Xie, Huijuan, and Yubing Gong. "Temporal Coherence Transitions Induced by Channel Noise in Scale-Free Neuronal Networks with Time Delay." Fluctuation and Noise Letters 16, no. 04 (November 21, 2017): 1750031. http://dx.doi.org/10.1142/s0219477517500316.

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In this paper, we study the effect of channel noise on the temporal coherence of scale-free Hodgkin–Huxley neuronal networks with time delay. It is found that the temporal coherence of the neuronal networks changes as channel noise intensity is varied in different ways depending on the range of channel noise intensity. The temporal coherence monotonically decreases with the increase of channel noise intensity for too small or too big channel noise intensity. However, for intermediate channel noise intensity it intermittently and rapidly becomes high and low as channel noise intensity is varied, exhibiting temporal coherence transitions. Moreover, this phenomenon is dependent on coupling strength and network average degree and becomes strongest when they are optimal. This result shows that channel noise has a regulation effect on the temporal coherence of the delayed neuronal networks by inducing temporal coherence transitions. This provides a new insight into channel noise for the information processing and transmission in neural systems.

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10

Ginzburg, Saul L., and Mark A. Pustovoit. "Bursting Dynamics of a Model Neuron Induced by Intrinsic Channel Noise." Fluctuation and Noise Letters 03, no. 03 (September 2003): L265—L274. http://dx.doi.org/10.1142/s0219477503001361.

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Irregular switching of ion channels is an inherent source of noise in real neurons. Taking into account the stochastic nature of calcium and fast potassium channel currents in the Plant model of a bursting neuron, we found noise-induced coherent bursting even in the case when the deterministic neuron is silent. The bursts keep their regularity in a wide range of membrane sizes. The measure of this coherence, the coefficient of variation of interspike intervals, passes through a minimum at the membrane area near 150 μ m 2. The degree of coherence obtained from power spectra of spike trains increases monotonously with decrease of membrane size.

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11

Casado, JoséM. "Noise-induced coherence in an excitable system." Physics Letters A 235, no. 5 (November 1997): 489–92. http://dx.doi.org/10.1016/s0375-9601(97)00648-8.

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12

Ullner, Ekkehard, Javier Buceta, Antoni Díez-Noguera, and Jordi García-Ojalvo. "Noise-Induced Coherence in Multicellular Circadian Clocks." Biophysical Journal 96, no. 9 (May 2009): 3573–81. http://dx.doi.org/10.1016/j.bpj.2009.02.031.

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13

LI, X. Y., J. H. YANG, and X. B. LIU. "THE COHERENCE RESONANCE IN VAN DER POL SYSTEM INDUCED BY NOISE RECYCLING." Fluctuation and Noise Letters 11, no. 02 (June 2012): 1250002. http://dx.doi.org/10.1142/s0219477512500022.

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The phenomenon of coherence resonance (CR) in a delayed noisy Van der Pol system with supercritical Hopf bifurcation, which is influenced by a recycled noise, is numerically studied. Different from the traditional CR theory, in this paper, the characteristics of CR is affected by the time delay in the input noise. Namely, the CR is weakened or enhanced by the time delay feedback. Moreover, we find that several characteristics of this particular system vary periodically and its period has some certain relation with the natural frequency. By using the results given by the paper, we can control the noise-induced motion by modulating the time delay in noise.

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14

POSTNOV, D. E., O. V. SOSNOVTSEVA, S. K. HAN, and T. G. YIM. "STOCHASTIC SYNCHRONIZATION OF COUPLED COHERENCE RESONANCE OSCILLATORS." International Journal of Bifurcation and Chaos 10, no. 11 (November 2000): 2541–50. http://dx.doi.org/10.1142/s0218127400001705.

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The effect of coherence resonance can change the firing process in noise-driven excitable systems towards rather regular dynamics. This effect provides a mechanism of the generation of stochastic oscillations whose characteristics are controlled by noise intensity. Following this, a noisy excitable system can be considered as a corehence resonance oscillator. For such functional units, we investigate the mutual and forced synchronization in terms of locking of the peak frequencies in the power spectrum and also in terms of phase locking. The connection of synchronization phenomenon of noise-induced oscillations and coherence resonance effect is discussed. The examples, studied numerically and experimentally, include Morris–Lecar neuron model and a monovibrator electronic circuit, respectively.

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15

Lv, Li Qiang, and Lin Ji. "Spatial Heterogeneity Induced Antispiral Wave and Spatiotemporal Coherence Resonance." Advanced Materials Research 647 (January 2013): 843–47. http://dx.doi.org/10.4028/www.scientific.net/amr.647.843.

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Spiral wave is an important dynamic behavior in several physiological signaling processes, such as the cardiac fibrillation. Since antispiral wave recently been discovered in microemulsion system, it has been intensively studied and discussed. In this work, we find that the spatial noise induced heterogeneity in homogenous system may also induce antispiral formation. Quantitative characterization prove spatiotemporal coherence resonance phenomenon appears, and spatiotemporal noise is more favorable to optimally sustain the antispirals.

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16

Ishimura, Kazuyoshi, and Isao T. Tokuda. "Limited Effect of Noise Injection on Synchronization of Crystal Oscillators." Journal of Circuits, Systems and Computers 29, no. 02 (May 9, 2019): 2050026. http://dx.doi.org/10.1142/s0218126620500267.

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Experimental study on noise-induced synchronization of crystal oscillators is presented. Two types of circuits were constructed: one consists of two Pierce oscillators that were isolated from each other and received a common noise input, while the other is based on a single Pierce oscillator that received a same sequence of noise signal repeatedly. Due to frequency detuning between the two Pierce oscillators, the first circuit showed no clear sign of noise-induced synchronization. The second circuit, on the other hand, generated coherent waveforms between different trials of the same noise injection. The waveform coherence was, however, broken immediately after the noise injection was terminated. Stronger perturbation such as the voltage resetting was finally shown to be effective to induce phase shifts, leading to phase synchronization of the Pierce oscillator. Our study presents a guideline for utilizing noise to synchronize clocks of multiple CPU systems, distributed sensor networks, and other engineering devices.

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17

Fraser, Simon J., and Raymond Kapral. "Periodic dichotomous-noise-induced transitions and stochastic coherence." Physical Review A 45, no. 6 (March 1, 1992): 3412–24. http://dx.doi.org/10.1103/physreva.45.3412.

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18

Lih, J. S., J. Y. Ko, J. L. Chern, R. R. Hsu, Y. F. Huang, and H. Y. Ueng. "Noise-induced linearisation and coherence enhancement: Experimental evidence." Europhysics Letters (EPL) 42, no. 4 (May 15, 1998): 383–94. http://dx.doi.org/10.1209/epl/i1998-00259-y.

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19

Liu, Xiaoqiang, and Xiaoli Yang. "Coherence resonance in a modified FHN neuron with autapse and phase noise." International Journal of Modern Physics B 32, no. 30 (December 10, 2018): 1850332. http://dx.doi.org/10.1142/s0217979218503320.

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The influences of phase noise together with autapse on the resonance dynamics in a modified FitzHugh–Nagumo (FHN) neuron are investigated by numerical simulation, where the neuronal model is in the environment of electromagnetic induction. First, it is found that phase noise can induce double coherence resonances, which is further confirmed to be robust to the feedback gain of induction current. Surprisingly, by individually changing the period of phase noise and the feedback gain, a resonance-like behavior also appears. Subsequently, the significant phenomenon of autapse-induced multiple coherence resonances is discovered. Moreover, the phenomenon of multiple coherence resonances can emerge at a broad parameter range of autaptic strength and autaptic delay.

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20

Jia, Yanbing, and Huaguang Gu. "Phase noise-induced double coherence resonances in a neuronal model." International Journal of Modern Physics B 29, no. 20 (August 5, 2015): 1550142. http://dx.doi.org/10.1142/s0217979215501428.

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Phase noise-induced single coherence resonance (CR) has been reported in previous studies. It is reported here that double CRs can be induced in the FitzHugh–Nagumo (FHN) model by phase noise when the oscillation period of phase noise is much larger than the firing period of the FHN model. By analyzing peaks in the power spectrums for the fast voltage variable and the coefficient variations (CVs) of interspike interval (ISI) series, we find that double CRs corresponding to the frequency of phase noise and the firing frequency of the FHN model respectively appear at small and large noise intensities. This implies that there are double chances for the FHN model to take advantage of the benefits of phase noise. Possible causes of the single CR are also discussed.

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21

GONG, YUBING, XIU LIN, and LI WANG. "EXTERNAL NON-GAUSSIAN NOISE-ENHANCED COLLECTIVE INTRINSIC SPIKING COHERENCE IN AN ARRAY OF STOCHASTIC HODGKIN–HUXLEY NEURONS." Fluctuation and Noise Letters 10, no. 04 (December 2011): 395–404. http://dx.doi.org/10.1142/s021947751100065x.

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In this Letter, we study the effect of the interaction of external non-Gaussian noise and channel noise on the temporal coherence of the collective intrinsic spiking of an array of bi-directionally coupled stochastic Hodgkin–Huxley (HH) neurons, mainly investigating how the non-Gaussian noise's deviation q from Gaussian distribution affects the spiking coherence and coherence resonance (CR) induced by channel noise and neuron number. It is found that the spiking coherence for small channel noise and the CR induced by channel noise or by neuron number change with the variation of q. As q is increased, the spiking with smaller channel noise becomes more ordered in time, and the CR by channel noise moves to bigger patch sizes. Furthermore, there is CR phenomenon when neuron number is varied, and the CR can occur in smaller channel noise when q is increased. These results show that appropriate external non-Gaussian noise can enhance and optimize the temporal coherence of the collective spiking of the coupled neurons when channel noise is sufficiently small, and can help the collective spiking with smaller channel noise reach the most ordered performance at an optimal neuron number. The mechanism underlying the phenomena is briefly discussed in terms of the property of the non-Gaussian noise. These findings could help to better understand the joint roles of external non-Gaussian noise and channel noise in the collective spiking activity of an array of coupled stochastic neurons.

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WANG, LI, YUBING GONG, and XIU LIN. "ENHANCEMENT OF INTRINSIC SPIKING COHERENCE BY EXTERNAL NON-GAUSSIAN NOISE IN A STOCHASTIC HODGKIN–HUXLEY NEURON." Fluctuation and Noise Letters 10, no. 04 (December 2011): 359–69. http://dx.doi.org/10.1142/s0219477511000624.

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In this paper, we study the effect of external non-Gaussian noise on the temporal coherence of the intrinsic spiking induced by the channel noise in a stochastic Hodgkin–Huxley neuron. It is found that, for a sufficiently large membrane patch, the intrinsic spiking coherence can be enhanced by the proper values of non-Gaussian noise's strength, correlation time, or deviation from Gaussian distribution. And that the intrinsic spiking can exhibit coherence resonance when the noise's strength is optimal. This implies that the channel noise-induced intrinsic spiking may become more or the most ordered in time with the assistance of the external non-Gaussian noise. These results show that the external non-Gaussian noise can play a constructive role for improving the time precision of information processing in stochastic neurons.

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23

Ma, Juan, Tiejun Xiao, Zhonghuai Hou, and Houwen Xin. "Coherence resonance induced by colored noise near Hopf bifurcation." Chaos: An Interdisciplinary Journal of Nonlinear Science 18, no. 4 (December 2008): 043116. http://dx.doi.org/10.1063/1.3013178.

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24

Brandstetter, S., M. A. Dahlem, and E. Schöll. "Interplay of time-delayed feedback control and temporally correlated noise in excitable systems." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 368, no. 1911 (January 28, 2010): 391–421. http://dx.doi.org/10.1098/rsta.2009.0233.

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The interplay of time-delayed feedback and temporally correlated coloured noise in a single and two coupled excitable systems is studied in the framework of the FitzHugh–Nagumo (FHN) model. By using coloured noise instead of white noise, the noise correlation time is introduced as an additional time scale. We show that in a single FHN system the major time scale of oscillations is strongly influenced by the noise correlation time, which in turn affects the maxima of coherence with respect to the delay time. In two coupled FHN systems, coloured noise input to one subsystem influences coherence resonance and stochastic synchronization of both subsystems. Application of delayed feedback control to the coloured noise-driven subsystem is shown to change coherence and time scales of noise-induced oscillations in both systems, and to enhance or suppress stochastic synchronization under certain conditions.

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25

DIMIAN, MIHAI. "EXTRACTING ENERGY FROM NOISE: NOISE BENEFITS IN HYSTERETIC SYSTEMS." Nano 03, no. 05 (October 2008): 391–97. http://dx.doi.org/10.1142/s1793292008001258.

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Noise plays a major role in the behavior of various physical and biological systems, its effects being increasingly pronounced with decrease in system size. While it is jeopardizing the future development of several nanotechnologies, such as magnetic data storage, noise can also play a constructive role in many nonlinear systems, activating a resonance response. In this paper, it is proven that various hysteretic systems can exhibit such coherent behavior — a phenomenon that is generally known as coherence resonance when is solely induced by noise, and stochastic resonance when an external oscillatory signal is present. The quantity used to characterize the regularity of the stochastic output is the power spectrum, which displays a maximum at the resonance frequency. The calculation of the spectral densities for the outputs of hysteretic systems is performed in the framework of stochastic processes defined on graphs. The case of hysteretic systems described by rectangular loops is discussed and analytical expressions for the output power spectra are derived. These theoretical results suggest that hysteretic systems can be used by nanotechnology for concentrating the energy of a flat, noisy input into a short bandwidth frequency region.

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Bashkirov, Evgeny K. "Entanglement of atoms induced by thermal noise in the presence of initial atomic coherence." Physics of Wave Processes and Radio Systems 23, no. 3 (December 27, 2020): 10–17. http://dx.doi.org/10.18469/1810-3189.2020.23.3.10-17.

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In this article, author investigated the dynamics of entanglement of two dipole-coupled natural or artificial two-level atoms (qubits) interacting nonresonantly with the intensive one-mode cavity thermal field. Author found an exact solution of the quantum Liouville equation for the full density matrix of the system two atoms + field mode for a coherent initial state of atoms in the dressed states representation. The full system density matrix is used to calculate the two-atom reduced density matrix and to calculate the quantitative criterion for atom-atom entanglement ‒ negativity. The results of computer simulation of the time dependence of negativity showed that in the case of a model with nonresonant interaction, the presence of initial atomic coherence leads to a significant decrease in the maximum degree of atomic entanglement, in contrast to the model with resonant interaction of atoms and a field. For the resonance model, the initial atomic coherence greatly enhances the degree of atomic entanglement.

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Ding, Xueli, Bing Jia, Yuye Li, and Huaguang Gu. "Enhancement of coherence resonance induced by inhibitory autapse in Hodgkin–Huxley model." International Journal of Modern Physics B 35, no. 07 (March 20, 2021): 2150110. http://dx.doi.org/10.1142/s0217979221501101.

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Inhibitory effect often suppresses electronic activities of the nervous system. In this paper, the inhibitory autapse is identified to enhance the degree of coherence resonance (CR) induced by noise in the Hodgkin–Huxley (HH) model with Hopf bifurcation from resting state to spiking with nearly fixed period [Formula: see text]. Without noise, the inhibitory autapse can induce a post inhibitory rebound (PIR) spike from the resting state at time delay approximating [Formula: see text] and can inhibit a spike of spiking at time delay approximating [Formula: see text]. In the presence of noise, CR characterized by maximal value of power spectrum of spike trains appears in a wide range of both time delay and conductance of autapse. With increasing autaptic conductance, CR degree becomes stronger for time delay approximating [Formula: see text] plus integer (from 0) multiples of [Formula: see text], because the inhibitory autaptic current pulses can induce more PIR spikes. The decrease of CR degree at time delay approximating integer (from 1) multiples of [Formula: see text] can be explained by the inhibition effect. The promotion of coherence resonance degree and the underlying PIR mechanism induced by inhibitory self-feedback extends the paradoxical phenomenon of inhibitory autapse to stochastic system and presents potential measures to modulate CR degree and information processing.

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Hutt, Axel, and Thomas Wahl. "Poisson-distributed noise induces cortical γ-activity: explanation of γ-enhancement by anaesthetics ketamine and propofol." Journal of Physics: Complexity 3, no. 1 (December 27, 2021): 015002. http://dx.doi.org/10.1088/2632-072x/ac4004.

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Abstract Additive noise is known to affect the stability of nonlinear systems. To understand better the role of additive noise in neural systems, we investigate the impact of additive noise on a random neural network of excitatory and inhibitory neurons. Here we hypothesize that the noise originates from the ascending reticular activating system. Coherence resonance in the γ-frequency range emerges for intermediate noise levels while the network exhibits non-coherent activity at low and high noise levels. The analytical study of a corresponding mean-field model system explains the resonance effect by a noise-induced phase transition via a saddle-node bifurcation. An analytical study of the linear mean-field systems response to additive noise reveals that the coherent state exhibits a quasi-cycle in the γ-frequency range whose spectral properties are tuned by the additive noise. To illustrate the importance of the work, we show that the quasi-cycle explains γ-enhancement under impact of the anaesthetics ketamine and propofol as a destabilizing effect of the coherent state.

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WANG, QING YUN, MATJAŽ PERC, ZHI SHENG DUAN, and GUAN RONG CHEN. "SPATIAL COHERENCE RESONANCE IN DELAYED HODGKIN–HUXLEY NEURONAL NETWORKS." International Journal of Modern Physics B 24, no. 09 (April 10, 2010): 1201–13. http://dx.doi.org/10.1142/s0217979210055317.

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We study the phenomenon of spatial coherence resonance (SCR) on Hodgkin–Huxley (HH) neuronal networks that are characterized with information transmission delay. In particular, we examine the ability of additive Gaussian noise to optimally extract a particular spatial frequency of excitatory waves in diffusive and small-world networks on which information transmission amongst directly connected neurons is not instantaneous. On diffusively coupled HH networks, we find that for short delay lengths, there always exists an intermediate noise level by which the noise-induced spatial dynamics is maximally ordered, hence implying the possibility of SCR in the system. Importantly thereby, the noise level warranting optimally ordered excitatory waves increases linearly with the increasing delay time, suggesting that extremely long delays might nevertheless preclude the observation of SCR on diffusive networks. Moreover, we find that the small-world topology introduces another obstacle for the emergence of ordered spatial dynamics out of noise because the magnitude of SCR fades progressively as the fraction of rewired links increases, hence evidencing decoherence of noise-induced spatial dynamics on delayed small-world HH networks. Presented results thus provide insights that could facilitate the understanding of the joint impact of noise and information transmission delay on realistic neuronal networks.

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30

Shaw, Pankaj Kumar, Debajyoti Saha, Sabuj Ghosh, M. S. Janaki, and A. N. Sekar Iyengar. "Intrinsic noise induced coherence resonance in a glow discharge plasma." Chaos: An Interdisciplinary Journal of Nonlinear Science 25, no. 4 (April 2015): 043101. http://dx.doi.org/10.1063/1.4916772.

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31

Li, Dongxi, Yawen Zheng, and Yachao Yang. "Bounded noise-induced coherence resonance in a single Rulkov neuron." Indian Journal of Physics 93, no. 11 (March 8, 2019): 1477–84. http://dx.doi.org/10.1007/s12648-019-01409-7.

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KRISHNAN, RAISHMA, DEBASIS DAN, and A. M. JAYANNAVAR. "COHERENCE IN TRANSPORT IN A SPECIAL CLASS OF INHOMOGENEOUS RATCHET." Modern Physics Letters B 19, no. 19n20 (August 30, 2005): 971–80. http://dx.doi.org/10.1142/s0217984905008827.

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We study the noise induced transport of an overdamped Brownian particle in frictional ratchet systems in the presence of a special class of external multiplicative Gaussian white noise fluctuations. The analytical expressions for current and diffusion coefficient are derived and the reliability or coherence of transport are discussed by means of their ratio. We show that these frictional ratchets exhibit larger coherence as compared to the flashing and rocking ratchets.

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Wang, Wen-Yuan, and Wen-Lei Zhao. "Protected quantum coherence by gain and loss in a noisy quantum kicked rotor." Journal of Physics: Condensed Matter 34, no. 2 (October 29, 2021): 025403. http://dx.doi.org/10.1088/1361-648x/ac2b68.

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Abstract We study the effects of non-Hermiticity on quantum coherence via a noisy quantum kicked rotor (NQKR). The random noise comes from the fluctuations in kick amplitude at each time. The non-Hermitian driving indicates the imaginary kicking potential, representing the environment-induced atom gain and loss. In the absence of gain and loss, the random noise destroys quantum coherence manifesting dynamical localization, which leads to classical diffusion. Interestingly, in the presence of non-Hermitian kicking potential, the occurrence of dynamical localization is highly sensitive to the gain and loss, manifesting the restoration of quantum coherence. Using the inverse participation ratio arguments, we numerically obtain a phase diagram of the classical diffusion and dynamical localization on the parameter plane of noise amplitude and non-Hermitian driving strength. With the help of analysis on the corresponding quasieigenstates, we achieve insight into dynamical localization, and uncover that the origin of the localization is interference between multiple quasi-eigenstates of the quantum kicked rotor. We further propose an experimental scheme to realize the NQKR in a dissipative cold atomic gas, which paves the way for future experimental investigation of an NQKR and its anomalous non-Hermitian properties.

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34

SCHMID, G., I. GOYCHUK, P. HÄNGGI, S. ZENG, and P. JUNG. "STOCHASTIC RESONANCE AND OPTIMAL CLUSTERING FOR ASSEMBLIES OF ION CHANNELS." Fluctuation and Noise Letters 04, no. 01 (March 2004): L33—L42. http://dx.doi.org/10.1142/s0219477504001628.

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We consider the statistical properties of action potentials generated by clusters of sodium and potassium channels due to channel noise and/or external stimulation. Since the fluctuations are related to the cluster size, a size-resonance effect — analog to stochastic resonance — is observed that facilitates optimal decoding of small external stimuli at optimal cluster sizes. Furthermore, in analogy to the coherence resonance effect, the channel-noise induced firing patterns exhibit a resonant-like temporal coherence as a function of the cluster size even in the absence of a periodic stimulus. In the presence of additional synaptic noise, SR occurs only for large cluster sizes which possess suboptimal internal noise levels.

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35

Baron, Joseph W., and Tobias Galla. "Intrinsic noise, Delta-Notch signalling and delayed reactions promote sustained, coherent, synchronized oscillations in the presomitic mesoderm." Journal of The Royal Society Interface 16, no. 160 (November 2019): 20190436. http://dx.doi.org/10.1098/rsif.2019.0436.

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Using a stochastic individual-based modelling approach, we examine the role that Delta-Notch signalling plays in the regulation of a robust and reliable somite segmentation clock. We find that not only can Delta-Notch signalling synchronize noisy cycles of gene expression in adjacent cells in the presomitic mesoderm (as is known), but it can also amplify and increase the coherence of these cycles. We examine some of the shortcomings of deterministic approaches to modelling these cycles and demonstrate how intrinsic noise can play an active role in promoting sustained oscillations, giving rise to noise-induced quasi-cycles. Finally, we explore how translational/transcriptional delays can result in the cycles in neighbouring cells oscillating in anti-phase and we study how this effect relates to the propagation of noise-induced stochastic waves.

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36

LANG, XIUFENG, QISHAO LU, and LIN JI. "SYNCHRONIZATION AND ANTICOHERENCE RESONANCE OF BURSTING NEURONS WITH SPATIALLY CORRELATED NOISE." International Journal of Modern Physics B 25, no. 32 (December 30, 2011): 4499–512. http://dx.doi.org/10.1142/s0217979211059176.

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We investigate synchronization of bursting neurons, caused by spatially correlated noise, consisting of a common Guassian noise and a local one. It is found that the degree of noise-induced synchronization between identical neurons increases with both the noise intensity and noise correlation. As for non-identical neurons, it is demonstrated that the degree of phase synchronization decreases monotonously with the noise intensity for partially correlated noise, but the degree undergoes a minimum with the common noise intensity increasing. An interpretation is provided for the noise-induced synchronization between identical neurons by investigating noise-modulated spike train pattern in a single neuron. In addition, the coherence of spike train is minimized at some noise intensities.

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37

Shi, Xuerong, and Zuolei Wang. "Stability Analysis of Fraction-Order Hopfield Neuron Network and Noise-Induced Coherence Resonance." Mathematical Problems in Engineering 2020 (June 29, 2020): 1–12. http://dx.doi.org/10.1155/2020/3520972.

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In this paper, dynamical behaviors of fraction-order Hopfield neuron network are investigated. Firstly, Mittag-Leffler stability analysis is carried out and some sufficient conditions are obtained. On the basis of theoretical analysis, two criteria for determining the stability of fraction-order Hopfield neuron network are presented and comparison between them is given by theoretical analysis along with numerical simulation. According to the proposed criteria, by selecting suitable system parameters, it can be obtained that fraction-order Hopfield neuron network can stabilize to the equilibrium point or an attractor, which can be a periodic orbit or two points. Secondly, considering the inevitable noise in the complex environment of neuron network, the effect of noise on the dynamics of fraction-order Hopfield neuron network is discussed via calculating coefficient of variation and numerical simulations. Results suggest that random noise can cause coherence resonance in fraction-order Hopfield neuron network for certain noise intensity.

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38

Ding Xue-Li and Li Yu-Ye. "Phase noise induced single or double coherence resonances of neural firing." Acta Physica Sinica 63, no. 24 (2014): 248701. http://dx.doi.org/10.7498/aps.63.248701.

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39

Tur, M., E. Shafir, and K. Blotekjaer. "Source-induced noise in optical systems driven by low-coherence sources." Journal of Lightwave Technology 8, no. 2 (1990): 183–89. http://dx.doi.org/10.1109/50.47870.

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40

Scully, M. O., K. R. Chapin, K. E. Dorfman, M. B. Kim, and A. Svidzinsky. "Quantum heat engine power can be increased by noise-induced coherence." Proceedings of the National Academy of Sciences 108, no. 37 (August 26, 2011): 15097–100. http://dx.doi.org/10.1073/pnas.1110234108.

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41

Sun, Xiaojuan, Qishao Lu, and Jürgen Kurths. "Correlated noise induced spatiotemporal coherence resonance in a square lattice network." Physica A: Statistical Mechanics and its Applications 387, no. 26 (November 2008): 6679–85. http://dx.doi.org/10.1016/j.physa.2008.08.027.

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42

Gosak, Marko, Marko Marhl, and Matjaž Perc. "Spatial coherence resonance in excitable biochemical media induced by internal noise." Biophysical Chemistry 128, no. 2-3 (July 2007): 210–14. http://dx.doi.org/10.1016/j.bpc.2007.04.007.

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43

Setsinsky, D. V. "Noise-Induced Coherence in an Excitable System with Frequency-Dependent Feedback." Technical Physics Letters 31, no. 4 (2005): 302. http://dx.doi.org/10.1134/1.1920378.

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44

Reinker, Stefan, Yue-Xian Li, and Rachel Kuske. "Noise-Induced Coherence and Network Oscillations in a Reduced Bursting Model." Bulletin of Mathematical Biology 68, no. 6 (May 20, 2006): 1401–27. http://dx.doi.org/10.1007/s11538-006-9089-5.

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BEATO, V., and H. ENGEL. "COHERENCE RESONANCE PHENOMENA IN AN EXCITABLE SYSTEM DRIVEN BY COLORED NOISE." Fluctuation and Noise Letters 06, no. 01 (March 2006): L85—L94. http://dx.doi.org/10.1142/s0219477506003173.

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We study the coherence of noise-induced excitations in a modified stochastic Oregonator model for the light-sensitive Belousov-Zhabotinsky (BZ) reaction assuming that the intensity of the applied illumination is a spatio-temporal stochastic field with finite correlation time and correlation length. For a single excitable element, we find coherence resonance (CR) with respect to the correlation time. In the spatially extended medium of diffusively coupled excitable elements, we observe CR for suitable combinations of the correlation time and length of the noise.

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46

Pieren, Reto, and Dorothea Lincke. "Auralization of aircraft flyovers with turbulence-induced coherence loss in ground effect." Journal of the Acoustical Society of America 151, no. 4 (April 2022): 2453–60. http://dx.doi.org/10.1121/10.0010121.

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Residents around airports are impacted by noise produced by civil aircraft operations. With the aim of reducing the negative effects of noise, new low-noise aircraft concepts and flight procedures are being developed. The design processes and the assessments of design variants can be supported by auralization of virtual flyovers. The plausibility of auralized aircraft is increased by considering the effects of atmospheric turbulence on sound propagation. This paper presents a simple approach to include turbulence-induced coherence loss in ground effect. Compared to earlier approaches, the proposed model is closer to the physical mechanisms. It is based on the von Kármán turbulence spectrum and a time-variant partial decorrelation filter. The application of the model to jet aircraft flyovers revealed audible improvements by reducing unnatural flanging. The proposed model increases the accuracy and plausibility of aircraft flyover auralizations. It will thus be applied in the perception-based evaluation of future aircraft concepts.

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BALANOV, A. G., N. B. JANSON, and P. V. E. McCLINTOCK. "COHERENCE RESONANCE OF THE NOISE-INDUCED MOTION ON THE WAY TO BREAKDOWN OF SYNCHRONIZATION IN CHAOTIC SYSTEMS." Fluctuation and Noise Letters 03, no. 02 (June 2003): L113—L120. http://dx.doi.org/10.1142/s0219477503001178.

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We investigate the way in which noise destroys phase synchronization in chaotic systems. Two cases are considered: where the route to synchronization involves frequency locking; and where it occurs via a suppression of the natural dynamics. We show that, just as in the case of synchronization of periodic oscillations, noise induces a new motion whose coherence depends non-monotonically (resonantly) on the noise intensity.

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48

Li, Yuye, and Huaguang Gu. "The Influence of Initial Values on Spatial Coherence Resonance in a Neuronal Network." International Journal of Bifurcation and Chaos 25, no. 08 (July 2015): 1550104. http://dx.doi.org/10.1142/s0218127415501047.

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Noise-induced single spatial coherence resonance (CR) and multiple spatial CRs simulated in a network have been reported independently in previous studies. In this paper, the relationship between the single and multiple spatial CRs is established by adjusting the initial values of the network composed of Morris–Lecar (ML) model neurons. The ML model manifests a saddle-node bifurcation on an invariant cycle through which a resting state is changed to a stable limit cycle corresponding to period-1 firing. Under resting state, a stable node, a saddle, and an unstable focus coexist. The membrane potential of the unstable focus is much higher than that of the stable node. When the initial value is closer to the unstable focus, the residence time of membrane potential on a high level is longer; correspondingly, the spatial CRs appear more frequently with respect to noise intensity and the coherence degree becomes stronger. The single spatial CR is induced by noise with high intensity. Multiple spatial CRs are induced by noise with high, middle, and even low noise intensities, respectively. When the initial values are closer to an unstable focus, the residence time of membrane potentials on a higher level is longer, which is important to the generation of multiple CRs, and builds a relationship between single and multiple spatial CRs.

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Alejandro, A. C. B., A. T. Ringler, D. C. Wilson, R. E. Anthony, and S. V. Moore. "Towards understanding relationships between atmospheric pressure variations and long-period horizontal seismic data: a case study." Geophysical Journal International 223, no. 1 (July 16, 2020): 676–91. http://dx.doi.org/10.1093/gji/ggaa340.

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SUMMARY Variations in atmospheric pressure have long been known to introduce noise in long-period (>10 s) seismic records. This noise can overwhelm signals of interest such as normal modes and surface waves. Generally, this noise is most pronounced on the horizontal components where it arises due to tilting of the seismometer in response to changes in atmospheric pressure. Several studies have suggested methodologies for correcting unwanted pressure-induced noise using collocated microbarograph records. However, how applicable these corrections are to varying geologic settings and installation types (e.g. vault versus post-hole) is unclear. Using coefficients obtained by solving for the residuals of these corrections, we can empirically determine the sensitivity of instruments in a specific location to the influences of pressure. To better understand how long-period, pressure-induced noise changes with time and emplacement, we examine horizontal seismic records along with barometric pressure at five different Global Seismographic Network stations, all with multiple broadband seismometers. We also analyse three Streckeisen STS-2 broadband seismometers, which are collocated with a microbarograph, at the Albuquerque Seismological Laboratory. We observe periods of high magnitude-squared-coherence (γ2-coherence; γ2 > 0.8) between the seismic and pressure signals which fluctuate through time, frequency, and even between seismic instruments in the same vault. These observations suggest that these tilt-generated signals are highly sensitive to very local (<10 m) site effects. However, we find that in cases where instruments are not located at a large depth (<100 m), the pressure-induced noise is polarized in a nearly constant direction that is consistent with local topographic features or the geometry of the vault. We also find that borehole instruments at a large depth (>100 m) appear to be unaffected by pressure-loading mechanisms outlined by Sorrells (1971) but possibly by Newtonian attraction. Correlating the induced-noise polarization direction with times of high coherence, we work to identify sensors that are ultimately limited by pressure-induced horizontal noise as well as period bands that can benefit from pressure corrections. We find that while the situation is complex, each sensor appears to have its own unique response to pressure. Our findings suggest that we can determine empirical relationships between pressure and induced tilt on a case by case basis.

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Yu, Na, Gurpreet Jagdev, and Michelle Morgovsky. "Noise-induced network bursts and coherence in a calcium-mediated neural network." Heliyon 7, no. 12 (December 2021): e08612. http://dx.doi.org/10.1016/j.heliyon.2021.e08612.

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