The influence of symmetry in coupled cells systems

Abstract

Coupled cells systems are extensively used with the aim to generate oscillation patterns that reproduce natural phenomena. Under invariance by a certain group, these patterns can be predicted using the theorem proposed by Golubitsky and Buono. In the present work it was made a simplified study of a system of 4 cells invariant under D4. From the behavior of the solutions of a set of equations which is equivariant under action of this group was possible to observe numerically the spatial symmetries and spatiotemporal symmetries coming from the cell-system invariance.

symmetry; cells; coupling