Periodic phase synchronization in coupled chaotic oscillators

by: Won-Ho Kye, Dae-Sic Lee, Sunghwan Rim, Chil-Min Kim, Young-Jai Park

Physical Review E, Vol. 68, No. 2. (2003), 025201.

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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.

@article{citeulike:2186960, 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.}, author = {Kye, Won-Ho and Lee, Dae-Sic and Rim, Sunghwan and Kim, Chil-Min and Park, Young-Jai }, citeulike-article-id = {2186960}, doi = {10.1103/PhysRevE.68.025201}, journal = {Physical Review E}, keywords = {chaos, nonuniform, oscillator, periodic, synchronization}, number = {2}, pages = {025201+}, posted-at = {2008-01-02 04:56:24}, priority = {2}, publisher = {American Physical Society}, title = {Periodic phase synchronization in coupled chaotic oscillators}, url = {http://dx.doi.org/10.1103/PhysRevE.68.025201}, volume = {68}, year = {2003} }

RIS record

TY - JOUR ID - citeulike:2186960 L3 - citeulike-article-id:2186960 TI - Periodic phase synchronization in coupled chaotic oscillators JF - Physical Review E VL - 68 IS - 2 SP - 025201 PB - American Physical Society N2 - 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. KW - chaos KW - nonuniform KW - oscillator KW - periodic KW - synchronization AU - Kye, Won-Ho AU - Lee, Dae-Sic AU - Rim, Sunghwan AU - Kim, Chil-Min AU - Park, Young-Jai PY - 2003//12/ UR - http://dx.doi.org/10.1103/PhysRevE.68.025201 ER -

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