Covering relations for coupled map networks

Following [6,12], we study coupled map networks over arbitrary finite graphs. An estimate from below for a topological entropy of a perturbed coupled map network via a topological entropy of an unperturbed network by making use of the covering relations for coupled map networks is obtained. The result is quite general, particularly no assumptions on hyperbolicity of a local dynamics or linearity of coupling are made

Topological entropy for multidimensional perturbations of snap-back repellers and one-dimensional maps, Nonlinearity 21

Abstract We consider a one-parameter family of maps F λ on R m × R n with the singular map F 0 having one of the two forms (i