Breakdown of synchronization in chaotic oscillators and noisy oscillators [PDF]
2007 18th European Conference on Circuit Theory and Design, 2007 In this study, the breakdown of synchronization observed from four coupled chaotic oscillators is investigated. In order to understand the phenomenon, the model of coupled modified van der Pol oscillators with noise is considered. The comparison of the coupled chaotic oscillators with the coupled modified van der Pol oscillators with noise gives us ...
Yoshifumi Nishio, Yoko Uwate
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Brownian Behavior in Coupled Chaotic Oscillators
Mathematics, 2021 Since the dynamical behavior of chaotic and stochastic systems is very similar, it is sometimes difficult to determine the nature of the movement. One of the best-studied stochastic processes is Brownian motion, a random walk that accurately describes ...
Javier Martín-Pasquín +1 more
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Inferring the connectivity of coupled chaotic oscillators using Kalman filtering [PDF]
Scientific Reports, 2021 Inferring the interactions between coupled oscillators is a significant open problem in complexity science, with multiple interdisciplinary applications.
E. Forero-Ortiz +3 more
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On the synchronization techniques of chaotic oscillators and their FPGA-based implementation for secure image transmission. [PDF]
PLoS ONE, 2019 Synchronizing chaotic oscillators has been a challenge to guarantee successful applications in secure communications. That way, three synchronization techniques are applied herein to twenty two chaotic oscillators, three of them based on piecewise-linear
Omar Guillén-Fernández +4 more
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Analytic Solution for a Complex Network of Chaotic Oscillators [PDF]
Entropy, 2018 Chaotic evolution is generally too irregular to be captured in an analytic solution. Nonetheless, some dynamical systems do have such solutions enabling more rigorous analysis than can be achieved with numerical solutions.
Jonathan N. Blakely +2 more
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Chaotic Oscillators as Inductive Sensors: Theory and Practice [PDF]
Sensors, 2019 Engineering solutions based on dynamical chaos may improve the characteristics of various sensors such as metal detectors, salinometers, optical and magnetic field sensors, and so on.
Timur Karimov +4 more
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A Gravitational Search Algorithm With Chaotic Neural Oscillators
IEEE Access, 2020 Gravitational search algorithm (GSA) inspired from physics emulates gravitational forces to guide particles' search. It has been successfully applied to diverse optimization problems.
Shangce Gao, Jiujun Cheng, Yirui Wang
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FPGA realization of fractional-order chaotic oscillators using ABM and EFORK methods [PDF]
Scientific ReportsDespite the growing theoretical interest in fractional-order chaotic systems, there is a lack of systematic, hardware-oriented methodology for their real-time digital realization that preserves chaotic dynamical properties and optimize computational ...
José Cruz Núñez Pérez +4 more
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Field-Programmable Gate Array-Based Chaos Oscillator Implementation for Analog–Discrete and Discrete–Analog Chaotic Synchronization Applications [PDF]
EntropyThis work focuses on evaluating the behavior of analog chaos oscillators in field-programmable gate arrays (FPGAs). This work is motivated by a new approach to designing chaos-based communication systems using chaos oscillator circuits implemented in ...
Ruslans Babajans +2 more
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Emergence of Self-Organized Dynamical Domains in a Ring of Coupled Population Oscillators
Mathematics, 2021 We show that interactions of inherently chaotic oscillators can lead to coexistence of regular oscillatory regimes and chaotic oscillations in the rings of coupled oscillators provided that the level of interaction between the oscillators exceeds a ...
Alexey V. Rusakov +3 more
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