Journal ArticleDOI
Techniques for the control of chaos
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TLDR
The concepts of chaos and its control are reviewed from an experimental as well as a theoretical viewpoint in this article, and examples are given of the control of chaos in ad-hoc set of experimental systems.About:
This article is published in Physica D: Nonlinear Phenomena.The article was published on 1995-03-02. It has received 83 citations till now. The article focuses on the topics: Control of chaos.read more
Citations
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Journal ArticleDOI
Is there chaos in the brain? I. Concepts of nonlinear dynamics and methods of investigation
Philippe Faure,Henri Korn +1 more
TL;DR: It will be shown that the tools of nonlinear dynamics can be irreplaceable for revealing hidden mechanisms subserving neuronal synchronization and periodic oscillations, and the benefits for the brain of adopting chaotic regimes with their wide range of potential behaviours and their aptitude to quickly react to changing conditions.
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Is there a neural code
TL;DR: It is argued that the switching between quasi-stable brain states as a result of learning is more relevant than the neuronal patterns, and the correlations between them, that are found during stationary states.
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Control of chaos in a PWM current-mode H-bridge inverter using time-delayed feedback
Herbert Ho-Ching Iu,Bruno Robert +1 more
TL;DR: In this paper, a simple time-delay feedback control method is applied to stabilize the unstable periodic orbits (UPOs) in dynamical systems, and the stability limit and gain range of the system are increased.
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Fuzzy Control of Chaos
TL;DR: In this chapter a Mamdani fuzzy model based fuzzy control technique is proposed to control chaotic systems, whose dynamics is complex and unknown, to the unstable periodic orbits (UPO).
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.
Book ChapterDOI
Period Three Implies Chaos
TL;DR: In this article, a generalized logistic equation was used to model the distribution of points of impact on a spinning bit for oil well drilling, as mentioned if this distribution is helpful in predicting uneven wear of the bit.
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Controlling Cardiac Chaos
TL;DR: By administering electrical stimuli to the heart at irregular times determined by chaos theory, the arrhythmia was converted to periodic beating and was stabilized to stabilize cardiac arrhythmias induced by the drug ouabain in rabbit ventricle.
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.
Journal ArticleDOI
Dynamical control of a chaotic laser: Experimental stabilization of a globally coupled system.
TL;DR: It is shown that complex periodic wave forms can be stabilized in the laser output intensity, indicating that this control technique may bewidely applicable to autonomous, higher-dimensional chaotic systems, including globally coupled arrays of nonlinear oscillators.