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Impact of hyperbolicity on chimera states in ensembles of nonlocally coupled chaotic oscillators

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.4951997· OSTI ID:22608963
;  [1]; ;  [2]
  1. Department of Physics, Saratov State University, Astrakhanskaya Str. 83, 410012 Saratov (Russian Federation)
  2. Institut für Theoretische Physik, TU Berlin, Hardenbergstraße 36, 10623 Berlin (Germany)

In this work we analyse nonlocally coupled networks of identical chaotic oscillators. We study both time-discrete and time-continuous systems (Henon map, Lozi map, Lorenz system). We hypothesize that chimera states, in which spatial domains of coherent (synchronous) and incoherent (desynchronized) dynamics coexist, can be obtained only in networks of chaotic non-hyperbolic systems and cannot be found in networks of hyperbolic systems. This hypothesis is supported by numerical simulations for hyperbolic and non-hyperbolic cases.

OSTI ID:
22608963
Journal Information:
AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1738; ISSN APCPCS; ISSN 0094-243X
Country of Publication:
United States
Language:
English

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