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1

Horn, David, and Irit Opher. "Temporal Segmentation in a Neural Dynamic System." Neural Computation 8, no. 2 (February 15, 1996): 373–89. http://dx.doi.org/10.1162/neco.1996.8.2.373.

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Oscillatory attractor neural networks can perform temporal segmentation, i.e., separate the joint inputs they receive, through the formation of staggered oscillations. This property, which may be basic to many perceptual functions, is investigated here in the context of a symmetric dynamic system. The fully segmented mode is one type of limit cycle that this system can develop. It can be sustained for only a limited number n of oscillators. This limitation to a small number of segments is a basic phenomenon in such systems. Within our model we can explain it in terms of the limited range of na
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2

Lestienne, Rémy. "Intrinsic and Extrinsic Neuronal Mechanisms in Temporal Coding: A Further Look at Neuronal Oscillations." Neural Plasticity 6, no. 4 (1999): 173–89. http://dx.doi.org/10.1155/np.1999.173.

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Many studies in recent years have been devoted to the detection of fast oscillations in the Central Nervous System (CNS), interpreting them as synchronizing devices. We should, however, refrain from associating too closely the two concepts of synchronization and oscillation. Whereas synchronization is a relatively well-defined concept, by contrast oscillation of a population of neurones in the CNS looks loosely defined, in the sense that both its frequency sharpness and the duration of the oscillatory episodes vary widely from case to case. Also, the functions of oscillations in the brain are
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3

Levy, Chagai, Monika Pinchas, and Yosef Pinhasi. "A New Approach for the Characterization of Nonstationary Oscillators Using the Wigner-Ville Distribution." Mathematical Problems in Engineering 2018 (July 11, 2018): 1–14. http://dx.doi.org/10.1155/2018/4942938.

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Oscillators and clocks are affected by physical mechanisms causing amplitude fluctuations, phase noise, and frequency instabilities. The physical properties of the elements composing the oscillator as well as external environmental conditions play a role in the characteristics of the oscillatory signal produced by the device. Such instabilities demonstrate frequency drifts and modulation and spectrum broadening and are observed to be nonstationary processes in nature. Most of tools which are being used to measure and characterize oscillator stability are based on signal processing techniques,
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4

Levy, Chagai, Monika Pinchas, and Yosef Pinhasi. "Characterization of Nonstationary Phase Noise Using the Wigner–Ville Distribution." Mathematical Problems in Engineering 2020 (April 20, 2020): 1–7. http://dx.doi.org/10.1155/2020/1685762.

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Oscillators and atomic clocks, as well as lasers and masers, are affected by physical mechanisms causing amplitude fluctuations, phase noise, and frequency instabilities. The physical properties of the elements composing the oscillator as well as external environmental conditions play a role in the coherence of the oscillatory signal produced by the device. Such instabilities demonstrate frequency drifts, modulation, and spectrum broadening and are observed to be nonstationary processes in nature. Most of the tools which are being used to measure and characterize oscillator stability are based
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5

LABBI, ABDERRAHIM, RUGGERO MILANESE, and HOLGER BOSCH. "ASYMPTOTIC SYNCHRONIZATION IN NETWORKS OF LOCALLY CONNECTED OSCILLATORS." International Journal of Bifurcation and Chaos 09, no. 12 (December 1999): 2279–84. http://dx.doi.org/10.1142/s0218127499001759.

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In this paper, we describe the asymptotic behavior of a network of locally connected oscillators. The main result concerns asymptotic synchronization. The presented study is stated in the framework of neuronal modeling of visual object segmentation using oscillatory correlation. The practical motivations of the synchronization analysis are based on neurophysiological experiments which led to the assumptions that existence of temporal coding schemes in the brain by which neurons, with oscillatory dynamics, coding for the same coherent object synchronize their activities, while neurons coding fo
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6

Baier, Gerold, and Sven Sahle. "Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators." Discrete Dynamics in Nature and Society 1, no. 2 (1997): 161–67. http://dx.doi.org/10.1155/s1026022697000162.

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We present three examples how complex spatio-temporal patterns can be linked to hyperchaotic attractors in dynamical systems consisting of nonlinear biochemical oscillators coupled linearly with diffusion terms. The systems involved are: (a) a two-variable oscillator with two consecutive autocatalytic reactions derived from the Lotka–Volterra scheme; (b) a minimal two-variable oscillator with one first-order autocatalytic reaction; (c) a three-variable oscillator with first-order feedback lacking autocatalysis. The dynamics of a finite number of coupled biochemical oscillators may account for
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7

Treisman, Michel, Norman Cook, Peter L. N. Naish, and Janice K. MacCrone. "The Internal Clock: Electroencephalographic Evidence for Oscillatory Processes Underlying Time Perception." Quarterly Journal of Experimental Psychology Section A 47, no. 2 (May 1994): 241–89. http://dx.doi.org/10.1080/14640749408401112.

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It has been proposed that temporal perception and performance depend on a biological source of temporal information. A model for a temporal oscillator put forward by Treisman, Faulkner, Naish, and Brogan (1990) predicted that if intense sensory pulses (such as auditory clicks) were presented to subjects at suitable rates they would perturb the frequency at which the temporal oscillator runs and so cause over- or underestimation of time. The resulting pattern of interference between sensory pulse rates and time judgments would depend on the frequency of the temporal oscillator and so might allo
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8

Chaix, Amandine, Amir Zarrinpar, and Satchidananda Panda. "The circadian coordination of cell biology." Journal of Cell Biology 215, no. 1 (October 10, 2016): 15–25. http://dx.doi.org/10.1083/jcb.201603076.

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Circadian clocks are cell-autonomous timing mechanisms that organize cell functions in a 24-h periodicity. In mammals, the main circadian oscillator consists of transcription–translation feedback loops composed of transcriptional regulators, enzymes, and scaffolds that generate and sustain daily oscillations of their own transcript and protein levels. The clock components and their targets impart rhythmic functions to many gene products through transcriptional, posttranscriptional, translational, and posttranslational mechanisms. This, in turn, temporally coordinates many signaling pathways, m
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9

Mondal, Sirshendu, Vishnu R. Unni, and R. I. Sujith. "Onset of thermoacoustic instability in turbulent combustors: an emergence of synchronized periodicity through formation of chimera-like states." Journal of Fluid Mechanics 811 (December 15, 2016): 659–81. http://dx.doi.org/10.1017/jfm.2016.770.

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Thermoacoustic systems with a turbulent reactive flow, prevalent in the fields of power and propulsion, are highly susceptible to oscillatory instabilities. Recent studies showed that such systems transition from combustion noise to thermoacoustic instability through a dynamical state known as intermittency, where bursts of large-amplitude periodic oscillations appear in a near-random fashion in between regions of low-amplitude aperiodic fluctuations. However, as these analyses were in the temporal domain, this transition remains still unexplored spatiotemporally. Here, we present the spatiote
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10

Wang, DeLiang, Joachim Buhmann, and Christoph von der Malsburg. "Pattern Segmentation in Associative Memory." Neural Computation 2, no. 1 (March 1990): 94–106. http://dx.doi.org/10.1162/neco.1990.2.1.94.

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The goal of this paper is to show how to modify associative memory such that it can discriminate several stored patterns in a composite input and represent them simultaneously. Segmention of patterns takes place in the temporal domain, components of one pattern becoming temporally correlated with each other and anticorrelated with the components of all other patterns. Correlations are created naturally by the usual associative connections. In our simulations, temporal patterns take the form of oscillatory bursts of activity. Model oscillators consist of pairs of local cell populations connecte
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11

Kaboodvand, Neda, Martijn P. van den Heuvel, and Peter Fransson. "Adaptive frequency-based modeling of whole-brain oscillations: Predicting regional vulnerability and hazardousness rates." Network Neuroscience 3, no. 4 (January 2019): 1094–120. http://dx.doi.org/10.1162/netn_a_00104.

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Whole-brain computational modeling based on structural connectivity has shown great promise in successfully simulating fMRI BOLD signals with temporal coactivation patterns that are highly similar to empirical functional connectivity patterns during resting state. Importantly, previous studies have shown that spontaneous fluctuations in coactivation patterns of distributed brain regions have an inherent dynamic nature with regard to the frequency spectrum of intrinsic brain oscillations. In this modeling study, we introduced frequency dynamics into a system of coupled oscillators, where each o
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12

Boujo, E., and N. Noiray. "Robust identification of harmonic oscillator parameters using the adjoint Fokker–Planck equation." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2200 (April 2017): 20160894. http://dx.doi.org/10.1098/rspa.2016.0894.

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We present a model-based output-only method for identifying from time series the parameters governing the dynamics of stochastically forced oscillators. In this context, suitable models of the oscillator’s damping and stiffness properties are postulated, guided by physical understanding of the oscillatory phenomena. The temporal dynamics and the probability density function of the oscillation amplitude are described by a Langevin equation and its associated Fokker–Planck equation, respectively. One method consists in fitting the postulated analytical drift and diffusion coefficients with their
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13

K. Macnamara, Cicely, and Mark A. J. Chaplain. "Spatio-temporal models of synthetic genetic oscillators." Mathematical Biosciences and Engineering 14, no. 1 (2017): 249–62. http://dx.doi.org/10.3934/mbe.2017016.

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14

Strömqvist, Gustav, Valdas Pasiskevicius, Carlota Canalias, Pierre Aschieri, Antonio Picozzi, and Carlos Montes. "Temporal coherence in mirrorless optical parametric oscillators." Journal of the Optical Society of America B 29, no. 6 (May 9, 2012): 1194. http://dx.doi.org/10.1364/josab.29.001194.

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15

PILIPCHUK, V. N. "TEMPORAL TRANSFORMATIONS AND VISUALIZATION DIAGRAMS FOR NONSMOOTH PERIODIC MOTIONS." International Journal of Bifurcation and Chaos 15, no. 06 (June 2005): 1879–99. http://dx.doi.org/10.1142/s0218127405013034.

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In this paper, a special nonsmooth transformation of time is combined with the shooting algorithm for visualization of the manifolds of periodic solutions and their bifurcations. The general class of nonlinear oscillators under smooth, nonsmooth, and impulsive loadings is considered. The corresponding boundary value problems with no singularities are obtained by introducing the periodic piecewise-linear (sawtooth) temporal argument. The Ueda circuit, that is Duffing's oscillator with no linear stiffness, is considered for illustration. It is shown that the temporal mode shape of the input can
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16

Chowdhury, Debajyoti, Chao Wang, Ai-Ping Lu, and Hai-Long Zhu. "Understanding Quantitative Circadian Regulations Are Crucial Towards Advancing Chronotherapy." Cells 8, no. 8 (August 13, 2019): 883. http://dx.doi.org/10.3390/cells8080883.

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Circadian rhythms have a deep impact on most aspects of physiology. In most organisms, especially mammals, the biological rhythms are maintained by the indigenous circadian clockwork around geophysical time (~24-h). These rhythms originate inside cells. Several core components are interconnected through transcriptional/translational feedback loops to generate molecular oscillations. They are tightly controlled over time. Also, they exert temporal controls over many fundamental physiological activities. This helps in coordinating the body’s internal time with the external environments. The mamm
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17

Hong, H., T. I. Um, Y. Shim, and M. Y. Choi. "Temporal association in a network of neuronal oscillators." Journal of Physics A: Mathematical and General 34, no. 24 (June 7, 2001): 5021–31. http://dx.doi.org/10.1088/0305-4470/34/24/301.

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18

LEI, YOUMING, and FULI GUAN. "DISORDER INDUCED ORDER IN AN ARRAY OF CHAOTIC DUFFING OSCILLATORS." International Journal of Modern Physics C 23, no. 10 (October 2012): 1250071. http://dx.doi.org/10.1142/s0129183112500714.

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This paper addresses the issue of disorder induced order in an array of coupled chaotic Duffing oscillators which are excited by harmonic parametric excitations. In order to investigate the effect of phase disorder on dynamics of the array, we take into account that individual uncoupled Duffing oscillator with a parametric excitation is chaotic no matter what the initial phase of the excitation is. It is shown that phase disorder by randomly choosing the initial phases of excitations can suppress spatio-temporal chaos in the system coupled by chaotic Duffing oscillators. When all the phases ar
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19

van der Slot, Peter J. M., and Henry P. Freund. "Three-Dimensional, Time-Dependent Analysis of High- and Low-Q Free-Electron Laser Oscillators." Applied Sciences 11, no. 11 (May 28, 2021): 4978. http://dx.doi.org/10.3390/app11114978.

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Free-electron lasers (FELs) have been designed to operate over virtually the entire electromagnetic spectrum, from microwaves through to X-rays, and in a variety of configurations, including amplifiers and oscillators. Oscillators can operate in both the low and high gain regime and are typically used to improve the spatial and temporal coherence of the light generated. We will discuss various FEL oscillators, ranging from systems with high-quality resonators combined with low-gain undulators, to systems with a low-quality resonator combined with a high-gain undulator line. The FEL gain code M
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20

VOLKOV, EVGENII I., and MAKSIM N. STOLYAROV. "TEMPORAL VARIABILITY GENERATED BY COUPLING OF MITOTIC TIMERS." Journal of Biological Systems 03, no. 01 (March 1995): 63–78. http://dx.doi.org/10.1142/s0218339095000071.

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Cell proliferation is considered as a periodic process which is governed by a two-variable relaxation timer. The collective behavior of a system composed of three identical relaxation oscillators is numerically studied under the condition that diffusion of the slow mode (inhibitor) dominates. The phase diagrams for cyclic and linear configurations show unexpectable diversity of stable periodic regimes, some of them are only observable under intermediate but reasonable values of coupling and stiffness. For cyclic configuration we demonstrate: (1) the existence of three periodic regimes with dif
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21

Manna, Raj Kumar, Oleg E. Shklyaev, and Anna C. Balazs. "Chemical pumps and flexible sheets spontaneously form self-regulating oscillators in solution." Proceedings of the National Academy of Sciences 118, no. 12 (March 15, 2021): e2022987118. http://dx.doi.org/10.1073/pnas.2022987118.

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The synchronization of self-oscillating systems is vital to various biological functions, from the coordinated contraction of heart muscle to the self-organization of slime molds. Through modeling, we design bioinspired materials systems that spontaneously form shape-changing self-oscillators, which communicate to synchronize both their temporal and spatial behavior. Here, catalytic reactions at the bottom of a fluid-filled chamber and on mobile, flexible sheets generate the energy to “pump” the surrounding fluid, which also transports the immersed sheets. The sheets exert a force on the fluid
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22

Lewy, Hadas, Yossy Shub, Zvi Naor, and Israel E. Ashkenazi. "TEMPORAL PATTERN OF LH SECRETION: REGULATION BY MULTIPLE ULTRADIAN OSCILLATORS VERSUS A SINGLE CIRCADIAN OSCILLATOR." Chronobiology International 18, no. 3 (January 2001): 399–412. http://dx.doi.org/10.1081/cbi-100103964.

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23

Markman, G., V. Vasilchenko, S. Markman, and K. Bar-Eli. "Spatial and temporal patterns in coupled Belousov-Zhabotinsky oscillators." Mathematical and Computer Modelling 31, no. 4-5 (February 2000): 143–48. http://dx.doi.org/10.1016/s0895-7177(00)00032-7.

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24

Ernst, U., K. Pawelzik, and T. Geisel. "Synchronization Induced by Temporal Delays in Pulse-Coupled Oscillators." Physical Review Letters 74, no. 9 (February 27, 1995): 1570–73. http://dx.doi.org/10.1103/physrevlett.74.1570.

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25

Isorna, Esther, Nuria de Pedro, Ana I. Valenciano, Ángel L. Alonso-Gómez, and María J. Delgado. "Interplay between the endocrine and circadian systems in fishes." Journal of Endocrinology 232, no. 3 (March 2017): R141—R159. http://dx.doi.org/10.1530/joe-16-0330.

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The circadian system is responsible for the temporal organisation of physiological functions which, in part, involves daily cycles of hormonal activity. In this review, we analyse the interplay between the circadian and endocrine systems in fishes. We first describe the current model of fish circadian system organisation and the basis of the molecular clockwork that enables different tissues to act as internal pacemakers. This system consists of a net of central and peripherally located oscillators and can be synchronised by the light–darkness and feeding–fasting cycles. We then focus on two c
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26

Petkoski, Spase, and Viktor K. Jirsa. "Transmission time delays organize the brain network synchronization." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2153 (July 22, 2019): 20180132. http://dx.doi.org/10.1098/rsta.2018.0132.

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The timing of activity across brain regions can be described by its phases for oscillatory processes, and is of crucial importance for brain functioning. The structure of the brain constrains its dynamics through the delays due to propagation and the strengths of the white matter tracts. We use self-sustained delay-coupled, non-isochronous, nonlinearly damped and chaotic oscillators to study how spatio-temporal organization of the brain governs phase lags between the coherent activity of its regions. In silico results for the brain network model demonstrate a robust switching from in- to anti-
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27

Ahissar, Ehud. "Temporal-Code to Rate-Code Conversion by Neuronal Phase-Locked Loops." Neural Computation 10, no. 3 (April 1, 1998): 597–650. http://dx.doi.org/10.1162/089976698300017683.

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Peripheral sensory activity follows the temporal structure of input signals. Central sensory processing uses also rate coding, and motor outputs appear to be primarily encoded by rate. I propose here a simple, efficient structure, converting temporal coding to rate coding by neuronal phase-locked loops (PLL). The simplest form of a PLL includes a phase detector (that is, a neuronal-plausible version of an ideal coincidence detector) and a controllable local oscillator that are connected in a negative feedback loop. The phase detector compares the firing times of the local oscillator and the in
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28

Nikitin, D., I. Omelchenko, A. Zakharova, M. Avetyan, A. L. Fradkov, and E. Schöll. "Complex partial synchronization patterns in networks of delay-coupled neurons." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2153 (July 22, 2019): 20180128. http://dx.doi.org/10.1098/rsta.2018.0128.

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We study the spatio-temporal dynamics of a multiplex network of delay-coupled FitzHugh–Nagumo oscillators with non-local and fractal connectivities. Apart from chimera states, a new regime of coexistence of slow and fast oscillations is found. An analytical explanation for the emergence of such coexisting partial synchronization patterns is given. Furthermore, we propose a control scheme for the number of fast and slow neurons in each layer. This article is part of the theme issue ‘Nonlinear dynamics of delay systems’.
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29

Diebner, Hans H., Axel A. Hoff, Adolf Mathias, Horst Prehn, Marco Rohrbach, and Sven Sahle. "Control and Adaptation of Spatio-temporal Patterns." Zeitschrift für Naturforschung A 56, no. 9-10 (October 1, 2001): 663–69. http://dx.doi.org/10.1515/zna-2001-0910.

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Abstract We apply a recently introduced cognitive system for dynamics recognition to a two-dimensional array of coupled oscillators. The cognitive system allows for both the control and the adaptation of spatio-temporal patterns of that array of oscillators. One array that shows Turing-pattems in a self-organizational manner is viewed as an externally presented dynamics (stimulus) which is mapped onto a mirror dynamics, whereby the latter is capable to simulate (simulus). Two of the parameters of the stimulus are thereby regarded to be unknown and have to be estimated by the cognitive system.
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30

Kocarev, Ljupčo, Predrag Janjić, Ulrich Parlitz, and Toni Stojanovski. "Controlling spatio-temporal chaos in coupled oscillators by sporadic driving." Chaos, Solitons & Fractals 9, no. 1-2 (January 1998): 283–93. http://dx.doi.org/10.1016/s0960-0779(97)00067-2.

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31

Yang, Zhenshan. "Temporal evolution of instantaneous phonons in time-dependent harmonic oscillators." Journal of Mathematical Physics 56, no. 3 (March 2015): 032102. http://dx.doi.org/10.1063/1.4914337.

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32

Belatreche, Ammar, Liam Maguire, Martin McGinnity, Liam McDaid, and Arfan Ghani. "Computing with Biologically Inspired Neural Oscillators: Application to Colour Image Segmentation." Advances in Artificial Intelligence 2010 (May 12, 2010): 1–21. http://dx.doi.org/10.1155/2010/405073.

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This paper investigates the computing capabilities and potential applications of neural oscillators, a biologically inspired neural model, to grey scale and colour image segmentation, an important task in image understanding and object recognition. A proposed neural system that exploits the synergy between neural oscillators and Kohonen self-organising maps (SOMs) is presented. It consists of a two-dimensional grid of neural oscillators which are locally connected through excitatory connections and globally connected to a common inhibitor. Each neuron is mapped to a pixel of the input image an
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33

SANTHIAH, M., P. PHILOMINATH, I. RAJA MOHAMED, and K. MURALI. "ORDERED AND CHAOTIC PHENOMENA IN TWO COUPLED FORCED LCR OSCILLATORS SHARING A COMMON NONLINEARITY." International Journal of Bifurcation and Chaos 21, no. 01 (January 2011): 161–75. http://dx.doi.org/10.1142/s0218127411028349.

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This paper suggests a simple mechanism of sharing a common nonlinearity among the linear oscillators to exhibit some interesting phenomena. Here, we present fourth-order nonautonomous circuit capable of showing a large variety of dynamical behaviors in three different modes of operation. In particular, a new phenomenon of coexistence of attractors leading to torus behavior when two identical oscillators sharing a common nonlinearity and many spatio-temporal patterns when more oscillators sharing a nonlinearity are presented. The results of numerical simulations, hardware experimental realizati
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34

Hegazi, Sara, Christopher Lowden, Julian Rios Garcia, Arthur H. Cheng, Karl Obrietan, Joel D. Levine, and Hai-Ying Mary Cheng. "A Symphony of Signals: Intercellular and Intracellular Signaling Mechanisms Underlying Circadian Timekeeping in Mice and Flies." International Journal of Molecular Sciences 20, no. 9 (May 13, 2019): 2363. http://dx.doi.org/10.3390/ijms20092363.

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The central pacemakers of circadian timekeeping systems are highly robust yet adaptable, providing the temporal coordination of rhythms in behavior and physiological processes in accordance with the demands imposed by environmental cycles. These features of the central pacemaker are achieved by a multi-oscillator network in which individual cellular oscillators are tightly coupled to the environmental day-night cycle, and to one another via intercellular coupling. In this review, we will summarize the roles of various neurotransmitters and neuropeptides in the regulation of circadian entrainme
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35

Crook, Sharon M., G. Bard Ermentrout, and James M. Bower. "Spike Frequency Adaptation Affects the Synchronization Properties of Networks of Cortical Oscillators." Neural Computation 10, no. 4 (May 1, 1998): 837–54. http://dx.doi.org/10.1162/089976698300017511.

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Oscillations in many regions of the cortex have common temporal characteristics with dominant frequencies centered around the 40 Hz (gamma) frequency range and the 5–10 Hz (theta) frequency range. Experimental results also reveal spatially synchronous oscillations, which are stimulus dependent (Gray&Singer, 1987;Gray, König, Engel, & Singer, 1989; Engel, König, Kreiter, Schillen, & Singer, 1992). This rhythmic activity suggests that the coherence of neural populations is a crucial feature of cortical dynamics (Gray, 1994). Using both simulations and a theoretical coupled oscillator
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36

Kim, Jinkyu, and Dongkeon Kim. "Temporal finite element methods through the extended framework of Hamilton’s principle." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 231, no. 2 (August 9, 2016): 263–78. http://dx.doi.org/10.1177/0954406216642481.

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With basic ideas of mixed Lagrangian formulation and sequential assigning process for initial conditions, the extended framework of Hamilton’s principle (EHP) was recently developed for continuum dynamics. Unlike the original Hamilton’s principle, this new variational framework can fully take initial conditions into account for both linear and nonlinear dynamics, so that it provides a sound base to apply a finite element scheme over the temporal domain without any ambiguity. This paper describes temporal finite element approach stemming from the extended Hamilton’s principle, which focuses ini
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37

König, Peter, Bernd Janosch, and Thomas B. Schillen. "Stimulus-Dependent Assembly Formation of Oscillatory Responses: III. Learning." Neural Computation 4, no. 5 (September 1992): 666–81. http://dx.doi.org/10.1162/neco.1992.4.5.666.

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A temporal structure of neuronal activity has been suggested as a potential mechanism for defining cell assemblies in the brain. This concept has recently gained support by the observation of stimulus-dependent oscillatory activity in the visual cortex of the cat. Furthermore, experimental evidence has been found showing the formation and segregation of synchronously oscillating cell assemblies in response to various stimulus conditions. In previous work, we have demonstrated that a network of neuronal oscillators coupled by synchronizing and desynchronizing delay connections can exhibit a tem
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38

Bloch, Guy, Erik D. Herzog, Joel D. Levine, and William J. Schwartz. "Socially synchronized circadian oscillators." Proceedings of the Royal Society B: Biological Sciences 280, no. 1765 (August 22, 2013): 20130035. http://dx.doi.org/10.1098/rspb.2013.0035.

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Daily rhythms of physiology and behaviour are governed by an endogenous timekeeping mechanism (a circadian ‘clock’). The alternation of environmental light and darkness synchronizes (entrains) these rhythms to the natural day–night cycle, and underlying mechanisms have been investigated using singly housed animals in the laboratory. But, most species ordinarily would not live out their lives in such seclusion; in their natural habitats, they interact with other individuals, and some live in colonies with highly developed social structures requiring temporal synchronization. Social cues may thu
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Kurz, Felix T., Miguel A. Aon, Brian O'Rourke, and Antonis A. Armoundas. "Wavelet analysis reveals heterogeneous time-dependent oscillations of individual mitochondria." American Journal of Physiology-Heart and Circulatory Physiology 299, no. 5 (November 2010): H1736—H1740. http://dx.doi.org/10.1152/ajpheart.00640.2010.

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Mitochondrial inner membrane potential oscillations in cardiac myocytes synchronize under oxidative or metabolic stress, leading to synchronized whole cell oscillations. Gaining information about the temporal properties of individual mitochondrial oscillators is essential to comprehend the network's intrinsic spatiotemporal organization. We have developed methods to detect individual mitochondrial tetramethylrhodamine ethyl ester fluorescence oscillations and assess their dynamical properties using wavelet analysis. We demonstrate that these advanced signal processing tools can provide quantit
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Clerico, Eugenia M., Vincent M. Cassone, and Susan S. Golden. "Stability and lability of circadian period of gene expression in the cyanobacterium Synechococcus elongatus." Microbiology 155, no. 2 (February 1, 2009): 635–41. http://dx.doi.org/10.1099/mic.0.022343-0.

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Molecular aspects of the circadian clock in the cyanobacterium Synechococcus elongatus have been described in great detail. Three-dimensional structures have been determined for the three proteins, KaiA, KaiB and KaiC, that constitute a central oscillator of the clock. Moreover, a temperature-compensated circadian rhythm of KaiC phosphorylation can be reconstituted in vitro with the addition of KaiA, KaiB and ATP. These data suggest a relatively simple circadian system in which a single oscillator provides temporal information for all downstream processes. However, in vivo the situation is mor
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SHABUNIN, A., V. ASTAKHOV, and V. ANISHCHENKO. "DEVELOPING CHAOS ON BASE OF TRAVELING WAVES IN A CHAIN OF COUPLED OSCILLATORS WITH PERIOD-DOUBLING: SYNCHRONIZATION AND HIERARCHY OF MULTISTABILITY FORMATION." International Journal of Bifurcation and Chaos 12, no. 08 (August 2002): 1895–907. http://dx.doi.org/10.1142/s021812740200556x.

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The work is devoted to the analysis of dynamics of traveling waves in a chain of self-oscillators with period-doubling route to chaos. As a model we use a ring of Chua's circuits symmetrically coupled via a resistor. We consider how complicated are temporal regimes with parameters changing influences on spatial structures in the chain. We demonstrate that spatial periodicity exists until transition to chaos through period-doubling and tori birth bifurcations of regular regimes. Temporal quasi-periodicity does not induce spatial quasi-periodicity in the ring. After transition to chaos exact spa
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LABAVIC, DARKA, and HILDEGARD MEYER-ORTMANNS. "Temporal self-similar synchronization patterns and scaling in repulsively coupled oscillators." Indian Academy of Sciences – Conference Series 1, no. 1 (December 18, 2017): 101–8. http://dx.doi.org/10.29195/iascs.01.01.0019.

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Oppo, Gian-Luca, Andrew J. Scroggie, Scott Sinclair, and Massimo Brambilla. "Complex spatio-temporal dynamics of optical parametric oscillators close to threshold." Journal of Modern Optics 47, no. 11 (September 2000): 2005–14. http://dx.doi.org/10.1080/09500340008232452.

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Karantonis, Antonis, Michael Pagitsas, Yasuyuki Miyakita, and Seiichiro Nakabayashi. "Manipulation of spatio-temporal patterns in networks of relaxation electrochemical oscillators." Electrochimica Acta 50, no. 25-26 (September 2005): 5056–64. http://dx.doi.org/10.1016/j.electacta.2005.02.072.

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Wasserman, Danit, Sapir Nachum, Meital Cohen, Taylor P. Enrico, Meirav Noach-Hirsh, Jasmin Parasol, Sarit Zomer-Polak, et al. "Cell cycle oscillators underlying orderly proteolysis of E2F8." Molecular Biology of the Cell 31, no. 8 (April 1, 2020): 725–40. http://dx.doi.org/10.1091/mbc.e19-12-0725.

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We uncovered interlocking mechanisms regulating the temporal proteolysis of the transcriptional repressor E2F8 in cycling cells including SCFCyclin F in G2, dephosphorylation of Cdk1 sites, and activation of APC/CCdh1, but not APC/CCdc20 during mitotic exit and G1. Differential stabilization under limited APC/C activity allows E2F8 to reaccumulate during late G1 and coregulate S-phase entry.
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Mathewson, Kyle E., Christopher Prudhomme, Monica Fabiani, Diane M. Beck, Alejandro Lleras, and Gabriele Gratton. "Making Waves in the Stream of Consciousness: Entraining Oscillations in EEG Alpha and Fluctuations in Visual Awareness with Rhythmic Visual Stimulation." Journal of Cognitive Neuroscience 24, no. 12 (December 2012): 2321–33. http://dx.doi.org/10.1162/jocn_a_00288.

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Rhythmic events are common in our sensory world. Temporal regularities could be used to predict the timing of upcoming events, thus facilitating their processing. Indeed, cognitive theories have long posited the existence of internal oscillators whose timing can be entrained to ongoing periodic stimuli in the environment as a mechanism of temporal attention. Recently, recordings from primate brains have shown electrophysiological evidence for these hypothesized internal oscillations. We hypothesized that rhythmic visual stimuli can entrain ongoing neural oscillations in humans, locking the tim
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Schillen, Thomas B., and Peter König. "Stimulus-Dependent Assembly Formation of Oscillatory Responses: II. Desynchronization." Neural Computation 3, no. 2 (June 1991): 167–78. http://dx.doi.org/10.1162/neco.1991.3.2.167.

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Recent theoretical and experimental work suggests a temporal structure of neuronal spike activity as a potential mechanism for solving the binding problem in the brain. In particular, recordings from cat visual cortex demonstrate the possibility that stimulus coherency is coded by synchronization of oscillatory neuronal responses. Coding by synchronized oscillatory activity has to avoid bulk synchronization within entire cortical areas. Recent experimental evidence indicates that incoherent stimuli can activate coherently oscillating assemblies of cells that are not synchronized among one anot
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Arantes, Pablo, and Ronaldo Mangueira Lima Júnior. "Using a coupled-oscillator model of speech rhythm to estimate rhythmic variability in two Brazilian Portuguese varieties (CE and SP)." Cadernos de Linguística 2, no. 4 (September 4, 2021): e577. http://dx.doi.org/10.25189/2675-4916.2021.v2.n4.id577.

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This paper presents preliminary results of a semi-automatic methodology to extract three parameters of a dynamic model of speech rhythm. The model attempts to analyze the production of rhythm as a system of coupled oscillators which represent syllabicity and phrase stress as levels of temporal organization. The estimated parameters are the syllabic oscillator entrainment rate (alpha), the syllabic oscillator decay rate (beta), and the coupling strength between the oscillators (w0). The methodology involves finding the <alpha, beta, w0> combination that minimizes the distance between natu
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Pitts, SiNae, Elizabeth Perone, and Rae Silver. "Food-entrained circadian rhythms are sustained in arrhythmic Clk/Clk mutant mice." American Journal of Physiology-Regulatory, Integrative and Comparative Physiology 285, no. 1 (July 2003): R57—R67. http://dx.doi.org/10.1152/ajpregu.00023.2003.

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Daily scheduled feeding is a potent time cue that elicits anticipatory activity in rodents. This food-anticipatory activity (FAA) is controlled by a food-entrainable oscillator (FEO) that is distinct from light-entrained oscillators of the suprachiasmatic nucleus (SCN). Circadian rhythms within the SCN depend on transcription-translation feedback loops in which CLOCK protein is a key positive regulator. The Clock gene is expressed in rhythmic tissues throughout the brain and periphery, implicating its widespread involvement in the functioning of circadian oscillators. To examine whether CLOCK
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Moon, F. C., and M. Kuroda. "Spatio-temporal dynamics in large arrays of fluid-elastic, Toda-type oscillators." Physics Letters A 287, no. 5-6 (September 2001): 379–84. http://dx.doi.org/10.1016/s0375-9601(01)00375-9.

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