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

We study the peculiarities of the solitary state appearance in the ensemble of nonlocally coupled chaotic maps. We show that the nonlocal coupling and features of the partial elements lead to the emergence of multistability in the system. The existence of solitary state is caused by the formation of...

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Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2018-11, Vol.227 (10-11), p.1173-1183
Main Authors: Semenova, Nadezhda, Vadivasova, Tatyana, Anishchenko, Vadim
Format: Article
Language:English
Subjects:
Advances in Nonlinear Dynamics of Complex Networks: Adaptivity
Atomic
Classical and Continuum Physics
Condensed Matter Physics
Coupling
Delays
Materials Science
Measurement Science and Instrumentation
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
Stochasticity
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Summary:We study the peculiarities of the solitary state appearance in the ensemble of nonlocally coupled chaotic maps. We show that the nonlocal coupling and features of the partial elements lead to the emergence of multistability in the system. The existence of solitary state is caused by the formation of two attracting sets with different basins of attraction. Their evolution is analyzed depending on the coupling parameters.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2018-800035-y