Channeling Chaos by Building Barriers

2004/07/31 by C. Chandré, Cristel Chandre, Giuseppe Ciraolo +7 · 4 citations
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #nlin.CD

paper · pdf · doi:10.1103/physrevlett.94.074101

published as Physical Review Letters 94 (2005) 074101

arxiv created 2004/09/27 · openalex publication_date 2005/02/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Chaotic diffusion often represents a severe obstacle for the setup of experiments, e.g., in fusion plasmas or particle accelerators. We present a complete test of a method of control of Hamiltonian chaos, with both its numerical test and its first experimental realization on a paradigm for wave-particle interaction, i.e., a travelling wave tube. The core of our approach is a small apt modification of the system which channels chaos by building barriers to diffusion. Its experimental realization opens the possibility to practically achieve the control of a wide range of systems at a low additional cost of energy.

Cited by

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• Local phase space control and interplay of classical and quantum effects in dissociation of a driven Morse oscillator
• Control of test particle transport in a turbulent electrostatic model of the Scrape-Off-Layer
• Reducing or enhancing chaos using periodic orbits

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• Dissipative dynamics of a charged particle in the field of three plane waves: chaos and control