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Spiral and target wave chimeras in a 2D network of nonlocally coupled van der Pol oscillators

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  • A.V., Bukh
  • V.S., Anishchenko

Abstract

We study numerically autowave structures in a two-dimensional lattice of van der Pol oscillators for the cases of local and nonlocal coupling between the individual oscillators. It is shown that classical spiral wave and target wave regimes are observed in the network. When the nonlocal coupling between the elements is introduced, complex spatio-temporal structures, including chimera states, can be realized. We reveal and describe single- and multi-core spiral wave chimeras (SWC), as well as a novel type of chimera state which is based on target waves and called a target wave chimera (TWC). We investigate and compare the features of SWC and TWC incoherent cores. Finally, we study how the system dynamics changes when the coupling parameters are varied and discuss the impact of external noise on the observed wave structures.

Suggested Citation

  • A.V., Bukh & V.S., Anishchenko, 2020. "Spiral and target wave chimeras in a 2D network of nonlocally coupled van der Pol oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    • Handle: RePEc:eee:chsofr:v:131:y:2020:i:c:s0960077919304382
    DOI: 10.1016/j.chaos.2019.109492
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    References listed on IDEAS

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    1. Rybalova, E.V. & Strelkova, G.I. & Anishchenko, V.S., 2018. "Mechanism of realizing a solitary state chimera in a ring of nonlocally coupled chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 300-305.
    2. Guo, Shuangjian & Dai, Qionglin & Cheng, Hongyan & Li, Haihong & Xie, Fagen & Yang, Junzhong, 2018. "Spiral wave chimera in two-dimensional nonlocally coupled Fitzhugh–Nagumo systems," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 394-399.
    3. Bukh, Andrei & Strelkova, Galina & Anishchenko, Vadim, 2019. "Spiral wave patterns in a two-dimensional lattice of nonlocally coupled maps modeling neural activity," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 75-82.
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    1. Bukh, A.V. & Strelkova, G.I. & Anishchenko, V.S., 2020. "Synchronization features of target wave structures with an incoherent center," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).

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