SPATIAL INTERMITTENCY IN AN INHOMOGENEOUS COUPLED MAP LATTICE

Abstract

We observe purely spatial intermittency accompanied by temporally periodic behavior in an inhomogeneous lattice of coupled logistic maps where the inhomogenity appears in the form of different values of the map parameters at distinct sites. Linear analysis shows that the spatial intermittency appears in the neighborhood of tangent period doubling bifurcation points. The intermittency near the bifurcation points is associated with a power-law distribution for the laminar lengths. The scaling exponent ζ for the laminar length distribution is obtained.