Journal ArticleDOI
Continuous control of chaos by self-controlling feedback
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TLDR
In this paper, the stabilization of unstable periodic orbits of a chaotic system is achieved either by combined feedback with the use of a specially designed external oscillator, or by delayed self-controlling feedback without using of any external force.About:
This article is published in Physics Letters A.The article was published on 1992-11-23. It has received 2957 citations till now. The article focuses on the topics: Control of chaos & System dynamics.read more
Citations
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Proceedings ArticleDOI
Washout filters in feedback control: benefits, limitations and extensions
TL;DR: In this article, the generalized washout filter results obtained in the Ph.D. dissertation of one of the authors are presented in the context of their relation to the generalized results and to recent publications on delayed feedback control.
Journal ArticleDOI
Design of Time-Delay Chaotic Electronic Circuits
TL;DR: The approach allows a new class of time-delay chaotic circuits with simple components, like resistors, capacitors, and operational amplifiers, to be designed and implemented with off-the-shelf discrete components.
Journal ArticleDOI
Adaptive synchronization of Genesio-Tesi chaotic system via a novel feedback control
TL;DR: In this paper, a new control scheme was proposed to make the states of two Genesio-Tesi chaotic systems asymptotically synchronized, based on the Lyapunov method and linear matrix inequality (LMI) framework.
Journal ArticleDOI
Noise-induced cooperative dynamics and its control in coupled neuron models.
TL;DR: Feedback control of the cooperative dynamics of two coupled neural oscillators that is induced merely by external noise is investigated and application of delayed feedback to only one of two subsystems is shown to be able to change coherence and time scales of noise-induced oscillations.
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Investigation on evolutionary optimization of chaos control
TL;DR: The main objective is to show that evolutionary algorithms are capable of optimization of chaos control, and the evolutionary algorithm SOMA (self-organizing migrating algorithm) was used in four versions.
References
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Journal ArticleDOI
Deterministic nonperiodic flow
TL;DR: In this paper, it was shown that nonperiodic solutions are ordinarily unstable with respect to small modifications, so that slightly differing initial states can evolve into considerably different states, and systems with bounded solutions are shown to possess bounded numerical solutions.
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Synchronization in chaotic systems
TL;DR: This chapter describes the linking of two chaotic systems with a common signal or signals and highlights that when the signs of the Lyapunov exponents for the subsystems are all negative the systems are synchronized.
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An equation for continuous chaos
TL;DR: A prototype equation to the Lorenz model of turbulence contains just one (second-order) nonlinearity in one variable as mentioned in this paper, which allows for a "folded" Poincare map (horseshoe map).
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Driving systems with chaotic signals.
TL;DR: It is shown that driving with chaotic signals can be done in a robust fashion, rather insensitive to changes in system parameters, and the calculation of the stability criteria leads naturally to an estimate for the convergence of the driven system to its stable state.
Journal ArticleDOI
Experimental control of chaos.
TL;DR: It was demonstrated that one can convert the motion of a chaotic dynamical system to periodic motion by controlling the system about one of the many unstable periodic orbits embedded in the chaotic attractor, through only small time dependent perturbations in an accessible system parameter.