Space-time chaos in the system of weakly interacting hyperbolic systems
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.
scientific article; zbMATH DE number 4201211