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

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

doi:10.1063/1.165996

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

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

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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 language	English (US)
Pages (from-to)	233-242
Number of pages	10
Journal	Chaos
Volume	3
Issue number	2
DOIs	https://doi.org/10.1063/1.165996
State	Published - 1993

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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title = "Traveling waves in lattice models of multidimensional and multicomponent media. II. Ergodic properties and dimension",

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.",

author = "Afraimovich, {V. S.} and Pesin, {Ya B.} and Tempelman, {A. A.}",

year = "1993",

doi = "10.1063/1.165996",

language = "English (US)",

volume = "3",

pages = "233--242",

journal = "Chaos",

issn = "1054-1500",

publisher = "American Institute of Physics",

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AU - Afraimovich, V. S.

AU - Pesin, Ya B.

AU - Tempelman, A. A.

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

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DO - 10.1063/1.165996

M3 - Article

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SN - 1054-1500

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EP - 242

JO - Chaos

JF - Chaos

IS - 2

ER -

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

Abstract

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