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Relevant bibliographies by topics / Digital Nonlinear Oscillators

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Academic literature on the topic 'Digital Nonlinear Oscillators'

Author: Grafiati

Published: 14 March 2023

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Journal articles on the topic "Digital Nonlinear Oscillators"

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Murphy, Thomas E., Adam B. Cohen, Bhargava Ravoori, et al. "Complex dynamics and synchronization of delayed-feedback nonlinear oscillators." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 368, no. 1911 (2010): 343–66. http://dx.doi.org/10.1098/rsta.2009.0225.

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We describe a flexible and modular delayed-feedback nonlinear oscillator that is capable of generating a wide range of dynamical behaviours, from periodic oscillations to high-dimensional chaos. The oscillator uses electro-optic modulation and fibre-optic transmission, with feedback and filtering implemented through real-time digital signal processing. We consider two such oscillators that are coupled to one another, and we identify the conditions under which they will synchronize. By examining the rates of divergence or convergence between two coupled oscillators, we quantify the maximum Lyap

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Li, XiaoFu, Md Raf E Ul Shougat, Tushar Mollik, Robert N. Dean, Aubrey N. Beal, and Edmon Perkins. "Field-programmable analog array (FPAA) based four-state adaptive oscillator for analog frequency analysis." Review of Scientific Instruments 94, no. 3 (2023): 035103. http://dx.doi.org/10.1063/5.0129365.

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Adaptive oscillators are a subset of nonlinear oscillators that can learn and encode information in dynamic states. By appending additional states onto a classical Hopf oscillator, a four-state adaptive oscillator is created that can learn both the frequency and amplitude of an external forcing frequency. Analog circuit implementations of nonlinear differential systems are usually achieved by using operational amplifier-based integrator networks, in which redesign procedures of the system topology is time consuming. Here, an analog implementation of a four-state adaptive oscillator is presente

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Kitio, Gabin Jeatsa, Cyrille Ainamon, Karthikeyan Rajagopal, Léandre Kamdjeu Kengne, Sifeu Takougang Kingni, and Justin Roger Mboupda Pone. "Four-Scroll Hyperchaotic Attractor in a Five-Dimensional Memristive Wien Bridge Oscillator: Analysis and Digital Electronic Implementation." Mathematical Problems in Engineering 2021 (October 19, 2021): 1–21. http://dx.doi.org/10.1155/2021/4820771.

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An electronic implementation of a novel Wien bridge oscillation with antiparallel diodes is proposed in this paper. As a result, we show by using classical nonlinear dynamic tools like bifurcation diagrams, Lyapunov exponent plots, phase portraits, power density spectra graphs, time series, and basin of attraction that the oscillator transition to chaos is operated by intermittency and interior crisis. Some interesting behaviors are found, namely, multistability, hyperchaos, transient chaos, and bursting oscillations. In comparison with some memristor-based oscillators, the plethora of dynamic

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Spanos, P. D., A. Sofi, and M. Di Paola. "Nonstationary Response Envelope Probability Densities of Nonlinear Oscillators." Journal of Applied Mechanics 74, no. 2 (2006): 315–24. http://dx.doi.org/10.1115/1.2198253.

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The nonstationary random response of a class of lightly damped nonlinear oscillators subjected to Gaussian white noise is considered. An approximate analytical method for determining the response envelope statistics is presented. Within the framework of stochastic averaging, the procedure relies on the Markovian modeling of the response envelope process through the definition of an equivalent linear system with response-dependent parameters. An approximate solution of the associated Fokker-Planck equation is derived by resorting to a Galerkin scheme. Specifically, the nonstationary probability

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VIEIRA, MARIA DE SOUSA, ALLAN J. LICHTENBERG, and MICHAEL A. LIEBERMAN. "NONLINEAR DYNAMICS OF DIGITAL PHASE-LOCKED LOOPS WITH DELAY." International Journal of Bifurcation and Chaos 04, no. 03 (1994): 715–26. http://dx.doi.org/10.1142/s0218127494000514.

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We investigate numerically and analytically the nonlinear dynamics of a system consisting of two self-synchronizing pulse-coupled nonlinear oscillators with delay. The particular system considered consists of connected digital phase-locked loops. We find mapping equations that govern the system and determine the synchronization properties. We study the bifurcation diagrams, which show regions of periodic, quasiperiodic and chaotic behavior, with unusual bifurcation diagrams, depending on the delay. We show that depending on the parameter that is varied, the delay will have a synchronizing or d

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Shabunin, Aleksej. "Selection of spatial modes in an ensemble of non-locally coupled chaotic maps." Izvestiya VUZ. Applied Nonlinear Dynamics 30, no. 1 (2022): 109–24. http://dx.doi.org/10.18500/0869-6632-2022-30-1-109-124.

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Purpose of this work is to determine regularities of formation of spatial structures in an ensemble of chaotic systems with non-local diffusion couplings and to study how these structures depend on the wave response of the digital filter formed by the ensemble couplings structure. Methods. The study was carried out by numerical simulation of an ensemble of logistic maps, calculation of its typical oscillatory regimes and their spectral analysis. The network was considered as a digital filter with a frequency response depending on the coupling parameters. Correlation between the spatial spectra

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Krenk, S., and J. B. Roberts. "Local Similarity in Nonlinear Random Vibration." Journal of Applied Mechanics 66, no. 1 (1999): 225–35. http://dx.doi.org/10.1115/1.2789151.

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A response analysis procedure is developed for oscillators with highly nonlinear stiffness and light nonlinear damping excited by non-white wide-band random noise based on local similarity between the random response and the deterministic response at the same energy level of the corresponding undamped oscillator. The analysis consists of three parts: introduction of modified phase plane variables, derivation of an approximate general form of the probability density of the response energy. for non-white excitation, and derivation of the spectral density function of the response from the conditi

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Roy, R. V. "Noise-Induced Transitions in Weakly Nonlinear Oscillators Near Resonance." Journal of Applied Mechanics 62, no. 2 (1995): 496–504. http://dx.doi.org/10.1115/1.2895957.

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We investigate the noise-induced transitions between the oscillatory steady states of a class of weakly nonlinear oscillators excited by resonant harmonic forcing. We begin by deriving a set of averaged equations governing slow variables of the system when the latter is perturbed by both additive white Gaussian noise and by random phase fluctuations of the resonant excitation. We then examine in detail the behavior of the reduced system in the case of cubic stiffness and viscous damping forces. Three regimes are examined: the case of weak damping, the case of near-bifurcation and the more gene

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Roy, R. Vale´ry, and P. D. Spanos. "Power Spectral Density of Nonlinear System Response: The Recursion Method." Journal of Applied Mechanics 60, no. 2 (1993): 358–65. http://dx.doi.org/10.1115/1.2900801.

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Spectral densities of the response of nonlinear systems to white noise excitation are considered. By using a formal solution of the associated Fokker-Planck-Kolmogorov equation, response spectral densities are represented by formal power series expansion for large frequencies. The coefficients of the series, known as the spectral moments, are determined in terms of first-order response statistics. Alternatively, a J-fraction representation of spectral densities can be achieved by using a generalization of the Lanczos algorithm for matrix tridiagonalization, known as the “recursion method.” Seq

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Dovbnya, Vitaly G., and Dmitry S. Koptev. "MATHEMATICAL MODEL OF THE RECEIVING PATH OF DIGITAL COMMUNICATION LINES." T-Comm 15, no. 5 (2021): 52–57. http://dx.doi.org/10.36724/2072-8735-2021-15-5-52-57.

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Modern trends in the development of digital communication lines of fixed information transmission services, as well as the characteristics of continuous channels today determine the noise immunity of radio receiving systems. The main directions of its increase in terms of the radio receiving device as a whole and the demodulator device in particular are as follows: reducing the frequency and nonlinear distortions of the signal in the linear path, increasing the stability and purity of the spectral line of oscillations of local oscillators, increasing the selectivity for the mirror and combinat

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Dissertations / Theses on the topic "Digital Nonlinear Oscillators"

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MORETTI, RICCARDO. "Digital Nonlinear Oscillators: A Novel Class of Circuits for the Design of Entropy Sources in Programmable Logic Devices." Doctoral thesis, Università di Siena, 2021. http://hdl.handle.net/11365/1144376.

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In recent years, cybersecurity is gaining more and more importance. Cryptography is used in numerous applications, such as authentication and encryption of data in communications, access control to restricted or protected areas, electronic payments. It is safe to assume that the presence of cryptographic systems in future technologies will become increasingly pervasive, leading to a greater demand for energy efficiency, hardware reliability, integration, portability, and security. However, this pervasiveness introduces new challenges: the implementation of conventional cryptographic standard

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Ing, James. "Near grazing dynamics of piecewise linear oscillators." Thesis, Available from the University of Aberdeen Library and Historic Collections Digital Resources, 2008. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid=24711.

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Akre, Niamba Jean-Michel. "Etude de la synchronisation et de la stabilité d’un réseau d’oscillateurs non linéaires. Application à la conception d’un système d’horlogerie distribuée pour un System-on-Chip (projet HODISS)." Thesis, Supélec, 2013. http://www.theses.fr/2013SUPL0001/document.

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Le projet HODISS dans le cadre duquel s'effectue nos travaux adresse la problématique de la synchronisation globale des systèmes complexes sur puce (System-on-Chip ou SOCs, par exemple un multiprocesseur monolithique). Les approches classiques de distribution d'horloges étant devenues de plus en plus obsolètes à cause de l'augmentation de la fréquence d'horloge, l'accroissement des temps de propagation, l'accroissement de la complexité des circuits et les incertitudes de fabrication, les concepteurs s’intéressent (pour contourner ces difficultés) à d'autres techniques basées entre autres sur l

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Mansingka, Abhinav S. "Fully Digital Chaotic Oscillators Applied to Pseudo Random Number Generation." Thesis, 2012. http://hdl.handle.net/10754/224712.

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This thesis presents a generalized approach for the fully digital design and implementation of chaos generators through the numerical solution of chaotic ordinary differential equations. In particular, implementations use the Euler approximation with a fixed-point twos complement number representation system for optimal hardware and performance. In general, digital design enables significant benefits in terms of power, area, throughput, reliability, repeatability and portability over analog implementations of chaos due to lower process, voltage and temperature sensitivities and easy compatibil

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Book chapters on the topic "Digital Nonlinear Oscillators"

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Addabbo, Tommaso, Ada Fort, Riccardo Moretti, Marco Mugnaini, and Valerio Vignoli. "Low-Level Advanced Design of True Random Number Generators Based on Truly Chaotic Digital Nonlinear Oscillators in FPGAs." In Lecture Notes in Electrical Engineering. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-95498-7_25.

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Rubio, M. A., M. de la Torre, J. C. Antoranz, and M. G. Velarde. "Digital and Analog Approach to Intermittencies and 1/f Noise in a Nonlinear Helmholtz Oscillator." In Springer Series in Synergetics. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-73089-4_17.

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Epstein, Irving R., and John A. Pojman. "Computational Tools." In An Introduction to Nonlinear Chemical Dynamics. Oxford University Press, 1998. http://dx.doi.org/10.1093/oso/9780195096705.003.0012.

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It is fair to say that the field of nonlinear chemical dynamics would not be where it is today, and perhaps it would not exist at all, without fast digital computers. As we saw in Chapter 1, the numerical simulation of the essential behavior of the BZ reaction (Edelson et al., 1975) did much both to support the FKN mechanism and to make credible the idea that chemical oscillators could be understood without invoking any new principles of chemical kinetics. In 1975, solving those differential equations challenged the most advanced machines of the day, yet the computers used then were less powerful than many of today’s home computers! Despite the present widespread availability of computing power, there remain many challenging computational problems in nonlinear dynamics, and even seemingly simple equations can be difficult to solve or maybe even lead to spurious results. In this chapter, we will look at some of the most widely used computational techniques, try to provide a rudimentary understanding of how the methods work (and how they can fail!), and list some of the tools that are available. There are several reasons for utilizing the techniques described in this chapter: 1. For a complicated system, it is generally not possible to measure all of the rate constants in a proposed mechanism. One way to estimate the remaining parameters is to simulate numerically the behavior of the system, varying the unknown rate constants until the model satisfactorily reproduces the experimental behavior. 2. If a mechanism, which may consist of dozens of elementary chemical reactions, is valid, then it should reproduce the observed dynamical behavior. Proposed mechanisms are most commonly tested by integrating the corresponding rate equations numerically and comparing the results with the experimental time series, or by comparing the results of many such simulations with different initial conditions (or of a numerical continuation study) to the experimental phase diagram. 3. Numerical results can act as a guide to further experiments. The real reason for developing models is not to interpolate between our experimental observations but to extrapolate into unknown realms.

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Conference papers on the topic "Digital Nonlinear Oscillators"

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Addabbo, T., A. Fort, R. Moretti, M. Mugnaini, and V. Vignoli. "Analysis of a Circuit Primitive for the Reliable Design of Digital Nonlinear Oscillators." In 2019 15th Conference on Ph.D Research in Microelectronics and Electronics (PRIME). IEEE, 2019. http://dx.doi.org/10.1109/prime.2019.8787773.

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Rontani, D., A. Locquet, M. Sciamanna, and D. S. Citrin. "Multiplexing digital information using hyperchaotic optoelectronic oscillators with nonlinear time-delayed feedback loops." In 11th European Quantum Electronics Conference (CLEO/EQEC). IEEE, 2009. http://dx.doi.org/10.1109/cleoe-eqec.2009.5194738.

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Zaycev, Valeriy, and Alalvan Kasim. "NON-LINEAR OSCILLATORS IN DISCRETE TIME: ANALYSIS AND SYNTHESIS OF DYNAMIC SYSTEMS." In CAD/EDA/SIMULATION IN MODERN ELECTRONICS 2021. Bryansk State Technical University, 2021. http://dx.doi.org/10.30987/conferencearticle_61c997ef87b033.35809465.

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A physically justified method of synthesis of nonlinear oscillating systems oscillating in discrete time (DT) is proposed. Synthesized dynamic systems are used as nonlinear discrete (digital) filters and basic models of radio system elements.

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Addabbo, T., A. Fort, M. Mugnaini, V. Vignoli, and M. Garcia-Bosque. "Digital Nonlinear Oscillators in PLDs: Pitfalls and Open Perspectives for a Novel Class of True Random Number Generators." In 2018 IEEE International Symposium on Circuits and Systems (ISCAS). IEEE, 2018. http://dx.doi.org/10.1109/iscas.2018.8351622.

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Addabbo, T., A. Fort, M. Mugnaini, R. Moretti, V. Vignoli, and D. Papini. "A Low-Complexity Method to Address Process Variability in True Random Number Generators based on Digital Nonlinear Oscillators." In 2022 IEEE International Symposium on Circuits and Systems (ISCAS). IEEE, 2022. http://dx.doi.org/10.1109/iscas48785.2022.9937869.

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Nakagami, Takakiyo, and Nobuhiro Fujimoto. "Laser amplifiers for optical signal processing and multiplexing systems." In OSA Annual Meeting. Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.wm3.

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The importance of optical signal processing, switching, and multiplexing/demultiplexing in future broadband communication networks has been widely recognized. The huge number of high speed optical signals will be carried by advanced fiber transmission technology such as coherent lightwave systems. Recent progress of laser amplifiers has given researchers an opportunity to exploit new architectures. The power loss due to the many passive elements required for complicated system structures can be minimized by using amplifiers. Nonlinear performances of the laser diodes such as bistability and wa

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Jackson, M. K., M. Y. Frankel, J. F. Whitaker, et al. "Picosecond Pseudomorphic AlGaAs/InGaAs MODFET Large-Signal Switching Measured by Electro-Optic Sampling." In International Conference on Ultrafast Phenomena. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/up.1992.tuc15.

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We present a study of the large-signal switching characteristics on a picosecond time scale of an AlGaAs/InGaAs modulation-doped field-effect transistor (MODFET) using electrooptic sampling. The MODFET has been of great interest for high-speed digital and analog applications since its demonstration. Recent progress in the fabrication of such devices has resulted in devices with extrinsic cutoff frequencies exceeding 250GHz, corresponding to response times on the order of a picosecond. The rapid increase in the speed of MODFET devices has outstripped the ability to measure their performance wit

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Pranayanuntana, Poramate, and Weerawat Khwankaew. "An Electronically Adjustable Amplitude of OTA-Based Sinusoidal Nonlinear Oscillator." In 2009 International Conference on Digital Image Processing, ICDIP. IEEE, 2009. http://dx.doi.org/10.1109/icdip.2009.24.

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Ricart, J., J. Pons, and M. Dominguez. "Iterative maps for the nonlinear Pulsed Digital Oscillator for MEMS." In 2007 Spanish Conference on Electron Devices. IEEE, 2007. http://dx.doi.org/10.1109/sced.2007.383957.

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Gabrielli, L., M. Giobbi, S. Squartini, and V. Valimaki. "A nonlinear second-order digital oscillator for Virtual Acoustic Feedback." In ICASSP 2014 - 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2014. http://dx.doi.org/10.1109/icassp.2014.6855055.

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