title: Intermingled basins and on-off intermittency in a multistate system
abstract: 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.
authors.affiliation: Department of Physics, Beijing Normal University, Beijing 100875, China.
authors.initials: M
authors.lastname: Zhan
authors.initials: G
authors.lastname: Hu