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On the distribution of recurrence times in nonlinear system

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Publication:1110571
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DOI10.1007/BF00402021zbMath0657.10056OpenAlexW2049928841MaRDI QIDQ1110571

Dieter H. Mayer

Publication date: 1988

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00402021


zbMATH Keywords

integrable Hamiltonian systemuniform distributionPoincaré maprecurrence times


Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Continued fractions (11A55) General theory of distribution modulo (1) (11K06)


Related Items (3)

Birkhoff averages and rotational invariant circles for area-preserving maps ⋮ Characterization of stickiness by means of recurrence ⋮ Birkhoff averages and the breakdown of invariant tori in volume-preserving maps




Cites Work

  • Unnamed Item
  • On a theorem by Florek and Slater on recurrence properties of circle maps
  • On the gap problem for the sequence \(\| m\beta \|\)
  • Poincaré Recurrences
  • Recurrence Time of a Dynamical System
  • Proof of a Recurrence Theorem for Strongly Transitive Systems




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