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Dynamic behaviors in two-layer coupled oscillator system

Author

Listed:
  • Yi, Wang
  • Yu, Xue
  • Xue, Wang
  • Bing-ling, Cen
  • Yan-feng, Qiao

Abstract

In this paper, we present a two-layer coupled oscillator model, in which the first layer is composed of the nearest neighbor coupled identical oscillator, the second layer is composed of the global coupled identical oscillator, and there is a one-way point-to-point drive from the second layer to the first layer. In this system, the driven layer changes from unsynchronized state to synchronized state with the change of parameters. During this transformation, we found the existence of chimer state. And the dynamic behavior of the system had been studied. The critical value for the state transition had been caught.

Suggested Citation

  • Yi, Wang & Yu, Xue & Xue, Wang & Bing-ling, Cen & Yan-feng, Qiao, 2021. "Dynamic behaviors in two-layer coupled oscillator system," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    • Handle: RePEc:eee:chsofr:v:144:y:2021:i:c:s0960077920308468
    DOI: 10.1016/j.chaos.2020.110454
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    Cited by:

    1. Wu, Yonggang & Zheng, Zhigang & Tang, Longkun & Xu, Can, 2022. "Synchronization dynamics of phase oscillator populations with generalized heterogeneous coupling," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Wang, Xuan & Zheng, Zhigang & Xu, Can, 2023. "Explosive synchronization in phase oscillator populations with attractive and repulsive adaptive interactions," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).

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