Phase Synchronization with Type-II Intermittency in Chaotic Oscillators

Abstract

We study the phase synchronization (PS) with type-II intermittency showing $\pm 2\pi$ irregular phase jumping behavior before the PS transition occurs in a system of two coupled hyperchaotic Rössler oscillators. The behavior is understood as a stochastic hopping of an overdamped particle in a potential which has $2\pi$-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 $<l>\sim \exp (\mid {\epsilon }_t-\epsilon {\mid }^2)$, which agrees well with the scaling law obtained from the Fokker-Planck equation.

5 pages, 5 figures

References in corpus (2)

• Characteristic Relations of Type-I Intermittency in the Presence of Noise
• Characteristic Relations of Type-III Intermittency in an Electronic Circuit

Cited by in corpus (2)

• Current reversal with type-I intermittency in deterministic inertia ratchets
• Origin of the Transition Inside the Desynchronized State in Coupled Chaotic Oscillators