Riddling bifurcations in coupled piecewise linear maps

A mechanism for riddling bifurcations in the system of coupled piecewise li near maps is described. We give sufficient conditions for the occurrence of locally and globally riddled basins based on the properties of absorbing a reas of the chaotic attractors on the invariant manifold. It is also shown that riddled basins are preserved upon bifurcation of the chaotic attractor s as long as the attractor after bifurcation is located in the absorbing ar ea of the attractor before bifurcation. (C) 1999 Elsevier Science B.V. All rights reserved.