Mapping Model of Chaotic Phase Synchronization | Zendy

Hirokazu Fujisaka | Zendy; Satoki Uchiyama | Zendy; T. Horita | Zendy

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Mapping Model of Chaotic Phase Synchronization

Author(s) -

Hirokazu Fujisaka,

Satoki Uchiyama,

T. Horita

Publication year - 2005

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.114.289

Subject(s) - physics , phase synchronization , statistical physics , chaotic , synchronization of chaos , synchronization (alternating current) , scaling , universality (dynamical systems) , rotation number , phase (matter) , chaotic systems , classical mechanics , topology (electrical circuits) , control theory (sociology) , quantum mechanics , mathematics , computer science , geometry , rotational speed , artificial intelligence , combinatorics , control (management) , nonlinear system

A coupled map model for the chaotic phase synchronization and itsdesynchronization phenomenon is proposed. The model is constructed byintegrating the coupled kicked oscillator system, kicking strength depending onthe complex state variables. It is shown that the proposed model clearlyexhibits the chaotic phase synchronization phenomenon. Furthermore, wenumerically prove that in the region where the phase synchronization is weaklybroken, the anomalous scaling of the phase difference rotation number isobserved. This proves that the present model belongs to the same universalityclass found by Pikovsky et al.. Furthermore, the phase diffusion coefficient inthe de-synchronization state is analyzed.Comment: Accepted for publication in Prog. Theor. Phy

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