Chaotic itinerancy generated by coupling of Milnor attractors.
We report the existence of chaotic itinerancy in a coupled Milnor attractor system. The attractor ruins consist of tori or local chaos generated from the original Milnor attractors. The chaotic behavior exhibited by a single orbit can be considered a "nonstationary" state, due to the extremely slow convergence of the Lyapunov exponents, but the behavior averaged over randomly chosen initial conditions is consistent with the limit theorem. We present as a possibly new indication of chaotic itinerancy the presence of slow decay of large fluctuations of the largest Lyapunov exponent.
Tsuda
Ichiro
I
Department of Mathematics, Graduate School of Science, Hokkaido University, Sapporo 060-0810, Japan.
Umemura
Toshiya
T