Antiferromagnetic clusters in diffusively coupled map lattices

The phase transitions found for coupled 2 dimensional lattices of odd-symme tric chaotic (or stochastic) maps display very strong re-entrant behavior o n square geometries. These re-entrances have been conjectured to appear as a result of the natural division of the square lattice in two sub-lattices under diffusive dynamics, which gives rise to antiferromagnetic domains. In this work we show that in fact frustration induced by the use of triangula r lattices reduces, and in some cases fully eliminates, the re-entrant beha vior of phase transitions in this kind of dynamical systems.