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Controlling global stochasticity of Hamiltonian systems by nonlinear perturbation

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The European Physical Journal B - Condensed Matter and Complex Systems Aims and scope Submit manuscript

Abstract:

A method of controlling global stochasticity in Hamiltonian systems by applying nonlinear perturbation is proposed. With the well-known standard map we demonstrate that this control method can convert global stochasticity into regular motion in a wide chaotic region for arbitrary initial condition, in which the control signal remains very weak after a few kicks. The system in which chaos has been controlled approximates to the original Hamiltonian system, and this approach appears robust against small external noise. The mechanism underlying this high control efficiency is intuitively explained.

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Authors and Affiliations

  1. The Abdus Salam International Centre for Theoretical Physics, PO Box 586, 34100 Trieste, Italy, , , , , , IT

    Ying Zhang & H.A. Cerdeira

  2. Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, PR China, , , , , , CN

    Shigang Chen

  3. CCAST (World Laboratory), Beijing 8730, PR China, , , , , , CN

    Gang Hu

Authors
  1. Ying Zhang
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  2. Gang Hu
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  3. Shigang Chen
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  4. H.A. Cerdeira
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Received 15 January 2002 Published online 6 June 2002

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Zhang, Y., Hu, G., Chen, S. et al. Controlling global stochasticity of Hamiltonian systems by nonlinear perturbation. Eur. Phys. J. B 27, 381–384 (2002). https://doi.org/10.1140/epjb/e2002-00168-y

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  • DOI: https://doi.org/10.1140/epjb/e2002-00168-y

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