Periodic Phase Synchronization in coupled chaotic oscillators
arXiv:nlin/0305052 · doi:10.1103/PhysRevE.68.025201
Abstract
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.
4 pages, 4 figures. submitted to Phys. Rev. E. The typo in Eq.(1) has been fixed
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