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Controlling chaos in area-preserving maps

Authors: Chandre, Cristel; Vittot, Michel; Elskens, Yves; Ciraolo, Guido; Pettini, Marco;

Controlling chaos in area-preserving maps

Abstract

We describe a method of control of chaos that occurs in area-preserving maps. This method is based on small modifications of the original map by addition of a small control term. We apply this control technique to the standard map and to the tokamap.

Country
France
Keywords

algorithms for finding control terms, FOS: Physical sciences, Nonlinear Sciences - Chaotic Dynamics, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, Symplectic mappings, fixed points (dynamical systems), [NLIN.NLIN-CD] Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], Control of mechanical systems, Nonlinear systems in control theory, Stabilization of systems by feedback, Hamiltonian systems, Chaotic Dynamics (nlin.CD), control, symplectic maps

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
Green
bronze
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