Phase synchronization with type-II intermittency in chaotic oscillators
We study the phase synchronization (PS) with type-II intermittency showing +/-2pi irregular phase jumping behavior before the PS transition occurs in a system of two coupled hyperchaotic Rossler oscillators. The behavior is understood as a stochastic hopping of an overdamped particle in a potential which has 2pi-periodic minima. We characterize it as type-II intermittency with external noise through the return map analysis. In epsilon(t)<epsilon<epsilon(c) (where epsilon(t) is the bifurcation point of type-II intermittency and epsilon(c) is the PS transition point in coupling strength parameter space), the average length of the time interval between two successive jumps follows <l> approximately exp(|epsilon(t)-epsilon|(2)), which agrees well with the scaling law obtained from the Fokker-Planck equation.
Kim
I
National Creative Research Initiative Center for Controlling Optical Chaos, Department of Physics, Pai Chai University, Seogu, Taejon, 302-735, Korea and Department of Physics, Sogang University, Seoul 121-742, Korea.
Kim
CM
Kye
WH
Park
YJ