Spiral and target wave chimeras in a 2D lattice of map-based neuron models. (English) Zbl 1426.37057
Summary: We study the dynamics of a two-dimensional lattice of nonlocally coupled-map-based neuron models represented by Rulkov maps. It is firstly shown that this discrete-time neural network can exhibit spiral and target waves and corresponding chimera states when the control parameters (the coupling strength and the coupling radius) are varied. It is demonstrated that one-core, multicore, and ring-shaped core spiral chimeras can be realized in the network. We also reveal a novel type of chimera structure – a target wave chimera. We explore the transition from spiral wave chimeras to target wave structures when varying the coupling parameters. We report for the first time that the spiral wave regime can be suppressed by applying noise excitations, and the subsequent transition to the target wave mode occurs.
©2019 American Institute of Physics
©2019 American Institute of Physics
MSC:
| 37L60 | Lattice dynamics and infinite-dimensional dissipative dynamical systems |
| 92B20 | Neural networks for/in biological studies, artificial life and related topics |
| 82C32 | Neural nets applied to problems in time-dependent statistical mechanics |
| 39A60 | Applications of difference equations |
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