Controlling chaos in area-preserving maps

2004/05/06 by C. Chandré, Cristel Chandre, Michel Vittot +3
Mathematics · Physics and Astronomy · #Chaos control and synchronization #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #nlin.CD

paper · pdf · doi:10.1016/j.physd.2005.06.016

published as Physica D 208 (2005) 131

arxiv created 2004/05/06 · openalex publication_date 2005/07/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Frequency map analysis and quasiperiodic decompositions
• Tailoring phase space: A way to control Hamiltonian transport
• Controlling chaotic transport in a Hamiltonian model of interest to magnetized plasmas
• Control of Hamiltonian chaos as a possible tool to control anomalous transport in fusion plasmas

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