Space-time chaos in the system of weakly interacting hyperbolic systems
type: Item
instance of: scholarly article
title: Space-time chaos in the system of weakly interacting hyperbolic systems
zbMATH Open document ID: 0727.58031
DOI: 10.1016/0393-0440(88)90035-6
author: Yakov Pesin
author: Ya. G. Sinai
published in: Journal of Geometry and Physics
publication date: 1988-01-01T00:00:00Z
review text: The authors consider infinite-dimensional dynamical systems which are lattices of some weakly-interacting hyperbolic systems. The symmetry group is given by the space-time translations. The investigations are motivated by the diffusion-reaction equation of the form \(\partial_ tu=f(u)+\epsilon \Delta u.\) The authors describe the construction of the corresponding BRS-measures which are mixing with respect to the group of space-time shifts. Methods of the statistical mechanics are used in the paper.
Mathematics Subject Classification ID: 37D99
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 82C99
zbMATH DE Number: 4201211
zbMATH Keywords: weakly-interacting hyperbolic systems
zbMATH Keywords: space-time translations
zbMATH Keywords: diffusion-reaction equation
reviewed by: Georgi Popov
MaRDI profile type: Publication
full work available at URL: 0393-0440(88)90035-6
OpenAlex ID: W1986897129
cites work: Q4185090
cites work: Q4724859
description: scientific article; zbMATH DE number 4201211