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Spectral decomposition of the stretching dynamics of the Arnold cat map

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Publication:1414522
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DOI10.1016/j.physleta.2003.10.045zbMath1029.37011OpenAlexW2083295924MaRDI QIDQ1414522

Hiroshi H. Hasegawa, Dean J. Driebe, Chun-Biu Li

Publication date: 23 November 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2003.10.045


zbMATH Keywords

Markov partitiondiscrete decay modesFrobenius-Perron operator decomposition


Mathematics Subject Classification ID

Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)


Related Items

A non-trivial relation between some many-dimensional chaotic discrete dynamical systems and some one-dimensional chaotic discrete dynamical systems



Cites Work

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  • The differential zeta function for axiom A attractors
  • Chaos, fractals, and noise: Stochastic aspects of dynamics.
  • Time-Correlation Functions of One-Dimensional Transformations
  • Spectral decomposition of the Renyi map
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