Periodic Phase Synchronization in coupled chaotic oscillators

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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4 pages, 4 figures. submitted to Phys. Rev. E. The typo in Eq.(1) has been fixed

Scientific paper

10.1103/PhysRevE.68.025201

We investigate the characteristics of temporal phase locking states observed in the route to phase synchronization. It is found that before phase synchronization there is a periodic phase synchronization state characterized by periodic appearance of temporal phase locking state and that the state leads to local negativeness in one of the vanishing Lyapunov exponents. By taking a statistical measure, we present the evidences of the phenomenon in unidirectionally and mutually coupled chaotic oscillators, respectively. And it is qualitatively discussed that the phenomenon is described by a nonuniform oscillator model in the presence of noise.

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