We consider a dynamical system containing infinite low-dimensional symmetric invariant subspaces, each of which has a chaotic state. Intermingled basins are found between these multiple chaotic states when they are stable in the subspaces. As a parameter of the system varies, the largest Lyapunov exponent transverse to the invariant subspace can change from negative to positive; then, the system dynamics changes from an intermingled basin state to a multistate on-off intermittency. The statistical behavior and physical transportation property for different dynamic states are investigated in detail.

• Received 28 December 1999

DOI:https://doi.org/10.1103/PhysRevE.62.375