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# Features of the Synchronization of Spiral Wave Structures in Interacting Lattices of Nonlocally Coupled Maps

2020, Vol. 16, no. 2, pp.  243-257

Author(s): Bukh A. V., Anishchenko V. S.

The features of external and mutual synchronization of spiral wave structures including chimera states in the interacting two-dimensional lattices of nonlocally coupled Nekorkin maps are investigated. The cases of diffusive and inertial couplings between the lattices are considered. The lattices model a neuronal activity and represent two-dimensional lattices consisting of $N \times N$ elements with $N = 200$. It is shown that the effect of complete synchronization is not achieved in the studied lattices, and only the regime of partial synchronization is realized regardless of the case of coupling between the lattices. It is important to note that the conclusion is applied not only to the regimes of spiral wave chimeras, but also to the regimes of regular spiral waves.
Keywords: synchronization, two-dimensional lattice, spiral wave, spiral wave chimera, inertial and diffusing coupling
Citation: Bukh A. V., Anishchenko V. S., Features of the Synchronization of Spiral Wave Structures in Interacting Lattices of Nonlocally Coupled Maps, Rus. J. Nonlin. Dyn., 2020, Vol. 16, no. 2, pp.  243-257
DOI:10.20537/nd200202