期刊
REGULAR & CHAOTIC DYNAMICS
卷 22, 期 2, 页码 148-162出版社
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S1560354717020046
关键词
ensemble of nonlocally coupled oscillators; chimera states; solitary states; hyperbolic and nonhyperbolic attractors; coupling function
资金
- DFG [SFB 910]
- RFBR [15-02-02288]
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 Henon map and the Lozi map. We show that phase and amplitude chimera states appear in a ring of coupled Henon 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 Henon and Lozi maps.
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