Analytical Periodic Solutions of Weakly Coupled Map Lattices Using Recurrence Relations

TL;DR

This paper derives explicit analytical periodic solutions for weakly coupled map lattices, linking matrix representations with recurrence relations to enhance understanding of their dynamic behavior.

Contribution

It introduces a method to obtain explicit solutions and recurrence relations for weakly coupled map lattices, bridging matrix approaches with recursive formulations.

Findings

Explicit periodic solutions derived

Recurrence relations established

Link between matrix form and recursive solutions

Abstract

Analytical periodic solutions for weakly Coupled Map Lattices are shown in an explicit form as well as in a recurrence relation. The results establish a link between a matricial representation and recurrence relations of the solutions.