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Synchronization features of target wave structures with an incoherent center

Author

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  • Bukh, A.V.
  • Strelkova, G.I.
  • Anishchenko, V.S.

Abstract

In the present paper we study numerically the interaction of two 2-dimensional networks each representing a lattice of coupled van der Pol oscillators. The isolated lattices can demonstrate spiral and target wave structures for the cases of no-flux boundary conditions and random initial conditions. We explore the effect of mutual synchronization of target waves and target wave chimeras for dissipative and inertial inter-layer coupling between the lattices and for local and nonlocal intra-layer coupling between the lattice oscillators. We show for the first time the possibility of complete synchronization of target wave chimera states, including synchronization of incoherent cores. Our findings demonstrate that there is a difference with synchronization of spiral wave chimera states in which incoherent cores are not completely synchronized. The obtained results can have an important application and can be particularly used to study the dynamics of cardiac muscle in biophysics.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920304008
    DOI: 10.1016/j.chaos.2020.110002
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    References listed on IDEAS

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    1. 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).
    2. 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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    Cited by:

    1. Shepelev, I.A. & Bukh, A.V. & Strelkova, G.I. & Anishchenko, V.S., 2021. "Anti-phase relay synchronization of wave structures in a heterogeneous multiplex network of 2D lattices," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).

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