Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. IV: Instability of Synchronized Chaos and New Intermittency

Abstract

A coupled-chaos system consisting of two subsystems, which is also derived by the three mode truncation in a spatially continuous system, is studied immediately after the instability pont of the synchronized chaos. The system turns out to exhibit two types of intermittency, one is similar to the tangential type and the other in a new one, depending on the fluctuation characteristics of local expansion rates of adjacent trajectories in the synchronized chaos. In the new intermittency, the temporal evolution of the difference between state variables is characterized by quiescent regions abruptly inserted by bursts which are temporally highly localized. Its probability density is found to obey approximately an inverse power law, and its power spectrum is observed to exhibit the ω^-1 law in a certain low frequency region.