Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2005-06-06
Prog. Theor. Phys. 114 (2005) 289-299
Nonlinear Sciences
Chaotic Dynamics
Accepted for publication in Prog. Theor. Phys
Scientific paper
10.1143/PTP.114.289
A coupled map model for the chaotic phase synchronization and its desynchronization phenomenon is proposed. The model is constructed by integrating the coupled kicked oscillator system, kicking strength depending on the complex state variables. It is shown that the proposed model clearly exhibits the chaotic phase synchronization phenomenon. Furthermore, we numerically prove that in the region where the phase synchronization is weakly broken, the anomalous scaling of the phase difference rotation number is observed. This proves that the present model belongs to the same universality class found by Pikovsky et al.. Furthermore, the phase diffusion coefficient in the de-synchronization state is analyzed.
Fujisaka Hirokazu
Horita Takehiko
Uchiyama Satoki
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