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ЖУРНАЛЫ // Regular and Chaotic Dynamics // Архив

Regul. Chaotic Dyn., 2017, том 22, выпуск 2, страницы 148–162 (Mi rcd248)

Эта публикация цитируется в 25 статьях

“Coherence–incoherence” Transition in Ensembles of Nonlocally Coupled Chaotic Oscillators with Nonhyperbolic and Hyperbolic Attractors

Nadezhda I. Semenova, Elena V. Rybalova, Galina I. Strelkova, Vadim S. Anishchenko

Department of Physics, Saratov National Research State University, ul. Astrakhanskaya 83, Saratov, 410012 Russia

Аннотация: We consider in detail similarities and differences of the “coherence–incoherence” transition in ensembles of nonlocally coupled chaotic discrete-time systems with nonhyperbolic and hyperbolic attractors. As basic models we employ the Hénon map and the Lozi map. We show that phase and amplitude chimera states appear in a ring of coupled Hénon maps, while no chimeras are observed in an ensemble of coupled Lozi maps. In the latter, the transition to spatio-temporal chaos occurs via solitary states. We present numerical results for the coupling function which describes the impact of neighboring oscillators on each partial element of an ensemble with nonlocal coupling. Varying the coupling strength we analyze the evolution of the coupling function and discuss in detail its role in the “coherence–incoherence” transition in the ensembles of Hénon and Lozi maps.

Ключевые слова: ensemble of nonlocally coupled oscillators, chimera states, solitary states, hyperbolic and nonhyperbolic attractors, coupling function.

MSC: 10.1134/S1560354717020046

Поступила в редакцию: 14.02.2017
Принята в печать: 03.03.2017

Язык публикации: английский

DOI: 10.1134/S1560354717020046



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