Periodic Phase Synchronization in coupled chaotic oscillators
Chaotic Dynamics
2009-11-10 v2
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.
Cite
@article{arxiv.nlin/0305052,
title = {Periodic Phase Synchronization in coupled chaotic oscillators},
author = {Won-Ho Kye and Dae-Sic Lee and Sunghwan Rim and Chil-Min Kim and Young-Jai Park},
journal= {arXiv preprint arXiv:nlin/0305052},
year = {2009}
}
Comments
4 pages, 4 figures. submitted to Phys. Rev. E. The typo in Eq.(1) has been fixed