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

Ya B. Pesin; Ya G. Sinai

doi:10.1016/0393-0440(88)90035-6

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

Ya B. Pesin, Ya G. Sinai

Research output: Contribution to journal › Article › peer-review

11 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 language	English (US)
Pages (from-to)	483-492
Number of pages	10
Journal	Journal of Geometry and Physics
Volume	5
Issue number	3
DOIs	https://doi.org/10.1016/0393-0440(88)90035-6
State	Published - Jan 1 1988
Externally published	Yes

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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10.1016/0393-0440(88)90035-6

Cite this

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title = "Space-time chaos in the system of weakly interacting hyperbolic systems",

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.",

keywords = "BRS- measure, Markov partition, Space-time choas, hyperbolic system, two dimensional lattice models",

author = "Pesin, {Ya B.} and Sinai, {Ya G.}",

year = "1988",

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doi = "10.1016/0393-0440(88)90035-6",

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T1 - Space-time chaos in the system of weakly interacting hyperbolic systems

AU - Pesin, Ya B.

AU - Sinai, Ya G.

PY - 1988/1/1

Y1 - 1988/1/1

N2 - 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.

AB - 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.

KW - BRS- measure

KW - Markov partition

KW - Space-time choas

KW - hyperbolic system

KW - two dimensional lattice models

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U2 - 10.1016/0393-0440(88)90035-6

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M3 - Article

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SN - 0393-0440

VL - 5

SP - 483

EP - 492

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 3

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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