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Periodic Phase Synchronization in coupled chaotic oscillators

Won-Ho Kye·Dae-Sic Lee·Sunghwan Rim·Chil-Min Kim·Young-Jai Park
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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.

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Won-Ho Kye, Dae-Sic Lee, Sunghwan Rim, Chil-Min Kim, Young-Jai Park. 2004-11-19. Periodic Phase Synchronization in coupled chaotic oscillators. https://doi.org/10.1103/physreve.68.025201

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