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Nonlinear Sciences > Chaotic Dynamics

arXiv:nlin/0306024 (nlin)
[Submitted on 16 Jun 2003]

Title:On the influence of noise on chaos in nearly Hamiltonian systems

Authors:P.V. Elyutin
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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, that 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, that can be described by the methods developed in the theory of Anderson localization in one-dimensional systems.
Comments: 10 pages REVTEX, 9 figures EPS
Subjects: Chaotic Dynamics (nlin.CD)
Cite as: arXiv:nlin/0306024 [nlin.CD]
  (or arXiv:nlin/0306024v1 [nlin.CD] for this version)
  https://doi.org/10.48550/arXiv.nlin/0306024
Related DOI: https://doi.org/10.1103/PhysRevE.69.026205

Submission history

From: P. V. Elyutin [view email]
[v1] Mon, 16 Jun 2003 09:46:44 UTC (111 KB)
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