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Influence of noise on chaos in nearly Hamiltonian systems

P. V. Elyutin*

  • Department of Physics, Moscow State University, Moscow 119992, Russia

  • *Electronic address: pve@shg.phys.msu.su
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Phys. Rev. E 69, 026205 – Published 25 February, 2004

DOI: https://doi.org/10.1103/PhysRevE.69.026205

Abstract

The simultaneous influence of small damping and white noise on Hamiltonian systems with chaotic motion is studied on the model of periodically kicked rotor. In the region of parameters where damping alone turns the motion into regular, the level of noise that can restore the chaos is studied. This restoration is created by two mechanisms: by fluctuation induced transfer of the phase trajectory to domains of local instability, which can be described by the averaging of the local instability index, and by destabilization of motion within the islands of stability by fluctuation induced parametric modulation of the stability matrix, which can be described by the methods developed in the theory of Anderson localization in one-dimensional systems.

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Outline

Information

Phys. Rev. E 69, 026205– Published 25 February, 2004
  • Received 16 June 2003

© 2004 American Physical Society

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