Effects of local nonlinearity and basin size in the dynamics of lattices of bistable maps (original) (raw)

We investigate the propagation of bistable fronts in lattices of diusively and advectively coupled cubic and quartic bistable maps, reporting the distribution of both stable states for asymmetric basins of attraction. The main eects of basin symmetry and local nonlinearities are obtained by comparing distributions for cubic local dynamics, with either symmetric or asymmetric basins of attraction, with those obtained for quartic maps with asymmetric basins. In addition, we show how front velocities depend on the local parameter and diusion.