The paper examines the appearance of on-off intermitting and riddled basins of attaction in a system of two coupled one-dimensional maps, each displaying type-III intermittency. The bifurcation curves for the transverse destabilization of low periodic orbits embedded in the synchronized chaotic state are obtained. Different types of riddling bifurcation are described, and we show how the existence of an absorbing area inside the basin of attraction can account for the distinction between local and global riddling as well as for the distinction between hysteric and non-hysteric blowout.
|Journal||Advances in Complex Systems|
|Publication status||Published - 1998|