Synchronization transition of limit-cycle system with homogeneous phase shifts |
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| Authors: | Zhang Ting-Xian and Zheng Zhi-Gang |
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| Institution: | Department of Physics and the Beijing-Hong Kong-Singapore Joint Center for Nonlinear and Complex Systems (Beijing), Beijing Normal University, Beijing 100875, China; College of Physics and Electronic Engineering, Qujing Normal University, Qujing 655011, China |
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| Abstract: | The behaviors of coupled oscillators, each of which has periodic
motion with random natural frequency in the absence of coupling, are
investigated when phase shifts are considered. In the system of
coupled oscillators, phase shifts are the same between different
oscillators. Synchronization and synchronization transition are
revealed with different phase shifts. Phase shifts play an important
role for this kind of system. When the phase shift α<0.5π,
the synchronization state can be attained by increasing the
coupling, and the system cannot reach the synchronization state
while α≥q0.5π. A clear scaling between complete
synchronization critical coupling strength K_pc and
α-0.5π is found. |
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| Keywords: | nonlinear dynamics coupled
limit-cycle system synchronization transition phase shift |
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