Space-time chaos in the system of weakly interacting hyperbolic systems

Ya B. Pesin, Ya G. Sinai

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We consider infinite-dimensional dynamical systems which are lattices of some weakly-interacting hyperbolic systems. We describe the construction of their BRS-measures which are mixing with respect to the group of space-time shifts. The proofs use methods of statistical mechanics.

Original languageEnglish (US)
Pages (from-to)483-492
Number of pages10
JournalJournal of Geometry and Physics
Volume5
Issue number3
DOIs
StatePublished - Jan 1 1988
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology

Keywords

  • BRS- measure
  • Markov partition
  • Space-time choas
  • hyperbolic system
  • two dimensional lattice models

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