Tailoring phase space: A way to control Hamiltonian transport

2004/05/06 by Guido Ciraolo, Cristel Chandre, C. Chandré +5 · 1 citation
Physics and Astronomy · #Magnetic confinement fusion research #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #nlin.CD

paper · pdf · doi:10.1209/epl/i2004-10440-x

published as Europhysics Letters 69 (2005) 879

arxiv created 2004/05/06 · openalex publication_date 2005/02/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We present a method to control transport in Hamiltonian systems. We provide an algorithm—based on a perturbation of the original Hamiltonian localized in phase space —to design small control terms that are able to create isolated barriers of transport without modifying other parts of phase space. We apply this method of localized control to a forced-pendulum model and to a system describing the motion of charged particles in a model of turbulent electric field.

Citations

• Localized control for non-resonant Hamiltonian systems
• Control of Hamiltonian chaos as a possible tool to control anomalous transport in fusion plasmas

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• Controlling chaos in area-preserving maps

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