Traveling waves in lattice models of multidimensional and multicomponent media. II. Ergodic properties and dimension.
We demonstrate a spatio-temporal chaos in lattice models of multidimensional and multicomponent media on the set of traveling waves solutions running with large enough velocities. We describe stability properties of such solutions, construct invariant measures with "good" ergodic properties concentrated on the above set and study different types of dimensions including the correlation dimension.
Afraimovich
V. S.
VS
Department of Mathematics, Pennsylvania State UniversityCenter for Dynamical Systems and Nonlinear Studies, Georgia Institute of Technology, Atlanta, Georgia 30332Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802.
Pesin
Ya. B.
YB
Tempelman
A. A.
AA