Collective phase slips and phase synchronizations in coupled oscillator systems

Zhigang Zheng; Bambi Hu; Gang Hu

doi:10.1103/PhysRevE.62.402

Collective phase slips and phase synchronizations in coupled oscillator systems

Zhigang Zheng
, Bambi Hu
, Gang Hu

Research output: Contribution to journal › Journal article › peer-review

53 Citations (Scopus)

Abstract

Phase synchronization dynamics in coupled limit cycles with distributed natural frequencies are explored. A synchronization tree from free oscillations to local clustering and global phase locking is found. A desynchronization-induced transition to chaos is shown. Near the onset of various phase synchronization points, a simultaneous quantized stick-slip feature of the phases of oscillators is observed on the desynchronization side and heuristically interpreted in terms of a heteroclinic path instability.

Original language	English
Pages (from-to)	402-408
Number of pages	7
Journal	Physical Review E
Volume	62
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.62.402
Publication status	Published - 1 Jul 2000

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10.1103/PhysRevE.62.402

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abstract = "Phase synchronization dynamics in coupled limit cycles with distributed natural frequencies are explored. A synchronization tree from free oscillations to local clustering and global phase locking is found. A desynchronization-induced transition to chaos is shown. Near the onset of various phase synchronization points, a simultaneous quantized stick-slip feature of the phases of oscillators is observed on the desynchronization side and heuristically interpreted in terms of a heteroclinic path instability.",

author = "Zhigang Zheng and Bambi Hu and Gang Hu",

note = "This work is supported in part by the Research Grant Council (RGC) and a Hong Kong Baptist University Faculty Research Grant (FRG), and in part by the National Natural Science Foundation of China, the Special Funds for Major State Basic Research Projects, and the Foundation for Doctoral Training of the State Education Ministry of China. Publisher copyright: {\textcopyright} 2000 American Physical Society",

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AU - Hu, Bambi

AU - Hu, Gang

N1 - This work is supported in part by the Research Grant Council (RGC) and a Hong Kong Baptist University Faculty Research Grant (FRG), and in part by the National Natural Science Foundation of China, the Special Funds for Major State Basic Research Projects, and the Foundation for Doctoral Training of the State Education Ministry of China. Publisher copyright: © 2000 American Physical Society

PY - 2000/7/1

Y1 - 2000/7/1

N2 - Phase synchronization dynamics in coupled limit cycles with distributed natural frequencies are explored. A synchronization tree from free oscillations to local clustering and global phase locking is found. A desynchronization-induced transition to chaos is shown. Near the onset of various phase synchronization points, a simultaneous quantized stick-slip feature of the phases of oscillators is observed on the desynchronization side and heuristically interpreted in terms of a heteroclinic path instability.

AB - Phase synchronization dynamics in coupled limit cycles with distributed natural frequencies are explored. A synchronization tree from free oscillations to local clustering and global phase locking is found. A desynchronization-induced transition to chaos is shown. Near the onset of various phase synchronization points, a simultaneous quantized stick-slip feature of the phases of oscillators is observed on the desynchronization side and heuristically interpreted in terms of a heteroclinic path instability.

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DO - 10.1103/PhysRevE.62.402

M3 - Journal article

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EP - 408

JO - Physical Review E

JF - Physical Review E

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ER -

Collective phase slips and phase synchronizations in coupled oscillator systems

Abstract

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