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arXiv · 1612.08160

Double-well chimeras in 2D lattice of chaotic bistable elements

Igor A. Shepelev·Andrey A. Bukh·Tatiana E. Vadivasova·Vadim S. Anishchenko·Anna Zakharova
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Abstract

We investigate spatio-temporal dynamics of a 2D ensemble of nonlocally coupled chaotic cubic maps in a bistability regime. In particular, we perform a detailed study on the transition "coherence -- incoherence" for varying coupling strength for a fixed interaction radius. For the 2D ensemble we show the appearance of amplitude and phase chimera states previously reported for 1D ensembles of nonlocally coupled chaotic systems. Moreover, we uncover a novel type of chimera state, double-well chimera, which occurs due to the interplay of the bistability of the local dynamics and the 2D ensemble structure. Additionally, we find double-well chimera behaviour for steady states which we call double-well chimera death. A distinguishing feature of chimera patterns observed in the lattice is that they mainly combine clusters of different chimera types: phase, amplitude and double-well chimeras.

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Igor A. Shepelev, Andrey A. Bukh, Tatiana E. Vadivasova, Vadim S. Anishchenko, Anna Zakharova. 2016-12-24. Double-well chimeras in 2D lattice of chaotic bistable elements. https://arxiv.org/abs/1612.08160

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