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arXiv · 1804.01289

Mechanism of solitary state appearance in an ensemble of nonlocally coupled Lozi maps

Nadezhda Semenova·Tatyana Vadivasova·Vadim Anishchenko
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Abstract

We study the peculiarities of the solitary state appearance in the ensemble of nonlocally coupled chaotic maps. We show that nonlocal coupling and features of the partial elements lead to arising of multistability in the system. The existence of solitary state is caused by formation of two attractive sets with different basins of attraction. Their basins are analysed depending on coupling parameters.

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Nadezhda Semenova, Tatyana Vadivasova, Vadim Anishchenko. 2018-04-04. Mechanism of solitary state appearance in an ensemble of nonlocally coupled Lozi maps. https://doi.org/10.1140/epjst%2Fe2018-800035-y

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