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- W1973075265 abstract "In this paper a dynamical system is studied whose phase space is an infinite product of finite-dimensional manifolds parametrized by the nodes of a multidimensional lattice and whose dynamics consists of a composition of hyperbolic mappings acting independently on each manifold and an interaction which introduces some dependence on adjacent variables. The interaction is assumed to be smooth and one-to-one. For such a dynamical system an invariant measure is constructed, and the system is shown to possess strong mixing properties, both in time and in space relative to this measure; i.e., the phenomenon of spatio-temporal chaos is observed. The idea of the proof is to construct a symbolic dynamics that makes it possible to apply results from the theory of Gibbs random fields.Bibliography: 14 titles." @default.
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- W1973075265 date "1994-02-28" @default.
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- W1973075265 title "CONSTRUCTION OF AN ANALOGUE OF BOWEN-RUELLE-SINAĬ MEASURE FOR A MULTIDIMENSIONAL LATTICE OF INTERACTING HYPERBOLIC MAPPINGS" @default.
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- W1973075265 doi "https://doi.org/10.1070/sm1994v079n02abeh003504" @default.
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