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On constructing Markov partitions by computer

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Publication:578706
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DOI10.1007/BF01010527zbMath0624.58036MaRDI QIDQ578706

Fernando Zironi, Valter Franceschini

Publication date: 1985

Published in: Journal of Statistical Physics (Search for Journal in Brave)


zbMATH Keywords

hyperbolic systemssymbolic dynamicsMarkov partitionsstable and unstable manifoldsHénon attractorhyperbolic fixed points


Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Markov processes (60J99) Dynamical systems with hyperbolic behavior (37D99)


Related Items (1)

Chaotic principle: Some applications to developed turbulence



Cites Work

  • Unnamed Item
  • Ergodic properties of the Lozi mappings
  • Stable and unstable manifolds of the Henon mapping
  • A two-dimensional mapping with a strange attractor
  • Markov partitions and \(C\)-diffeomorphisms
  • Construction of Markov partitions
  • ENTROPY, A COMPLETE METRIC INVARIANT FOR AUTOMORPHISMS OF THE TORUS
  • Similarity of automorphisms of the torus
  • Markov Partitions for Axiom A Diffeomorphisms
  • GIBBS MEASURES IN ERGODIC THEORY


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