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cond-matJul 30, 2002
11
citations (OpenAlex)
authors
  • B. V. Chirikov
  • D. L. Shepelyansky
institutions
  • Budker Institute of Nuclear Physics
  • Centre National de la Recherche Scientifique
  • Laboratoire de Chimie et Physique Quantiques
  • Université Toulouse III - Paul Sabatier
arXiv abstractPDF
paper

To the problem of Poincare recurrences in generic Hamiltonian systems

arXiv:cond-mat/0207705 · doi:10.1103/PhysRevLett.89.239402

Abstract

We discuss the problem of Poincare recurrences in area-preserving maps and the universality of their decay at long times. The work is related to to the results presented in Refs. [1,2].

revtex 2 pages, 1 figure, related to [1] nlin.CD/0106021 and [2] cond-mat/9807365

References in corpus (2)

  • Asymptotic Statistics of Poincaré Recurrences in Hamiltonian Systems with Divided Phase Space
  • Universal Power-law Decay in Hamiltonian Systems?

Cited by in corpus (9)

  • Leaking Chaotic Systems
  • Universality of algebraic laws in Hamiltonian systems
  • Ulam method for the Chirikov standard map
  • Poincaré recurrences in Hamiltonian systems with a few degrees of freedom
  • Chaotic Hamiltonian systems revisited: Survival probability
  • Poincaré recurrences and Ulam method for the Chirikov standard map
  • Isentropic perturbations of a chaotic domain
  • Poincaré recurrences of DNA sequence
  • Algebraic statistics of Poincaré recurrences in DNA molecule
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