Traveling waves in lattice models of multidimensional and multicomponent media. II. Ergodic properties and dimension

V. S. Afraimovich, Ya B. Pesin, A. A. Tempelman

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We demonstrate a spatio-temporal chaos in lattice models of multidimensional and multicomponent media on the set of traveling waves solutions running with large enough velocities. We describe stability properties of such solutions, construct invariant measures with "good" ergodic properties concentrated on the above set and study different types of dimensions including the correlation dimension.

Original languageEnglish (US)
Pages (from-to)233-242
Number of pages10
JournalChaos
Volume3
Issue number2
DOIs
StatePublished - Jan 1 1993

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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