Space-time chaos in the system of weakly interacting hyperbolic systems (Q803622)
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scientific article; zbMATH DE number 4201211
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Space-time chaos in the system of weakly interacting hyperbolic systems |
scientific article; zbMATH DE number 4201211 |
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Space-time chaos in the system of weakly interacting hyperbolic systems (English)
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1988
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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.
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weakly-interacting hyperbolic systems
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space-time translations
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diffusion-reaction equation
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