SPATIOTEMPORALLY PERIODIC PATTERNS IN SYMMETRICALLY COUPLED MAP LATTICES

We deduce a class of spatiotemporal periodic orbits in locally to glob ally coupled map lattices, from the known orbits with smaller phase sp aces, without analytically and numerically solving the modeling equati ons. The stability of the deduced orbits is investigated and we can re duce the problem to analyze much smaller matrices corresponding to the building block of their spatial periodicity or to the building block of the spatial periodicity of the original orbits from which we constr uct the new orbits. In the two-dimensional case the problem is conside rably simplified.