Literature DB >> 25314517

Different types of chimera states: an interplay between spatial and dynamical chaos.

Dawid Dudkowski1, Yuri Maistrenko2, Tomasz Kapitaniak1.   

Abstract

We discuss the occurrence of chimera states in networks of nonlocally coupled bistable oscillators, in which individual subsystems are characterized by the coexistence of regular (a fixed point or a limit cycle) and chaotic attractors. By analyzing the dependence of the network dynamics on the range and strength of coupling, we identify parameter regions for various chimera states, which are characterized by different types of chaotic behavior at the incoherent interval. Besides previously observed chimeras with space-temporal and spatial chaos in the incoherent intervals we observe another type of chimera state in which the incoherent interval is characterized by a central interval with standard space-temporal chaos and two narrow side intervals with spatial chaos. Our findings for the maps as well as for time-continuous van der Pol-Duffing's oscillators reveal that this type of chimera states represents characteristic spatiotemporal patterns at the transition from coherence to incoherence.

Mesh:

Year:  2014        PMID: 25314517     DOI: 10.1103/PhysRevE.90.032920

Source DB:  PubMed          Journal:  Phys Rev E Stat Nonlin Soft Matter Phys        ISSN: 1539-3755


  5 in total

1.  Complex dynamics of a neuron model with discontinuous magnetic induction and exposed to external radiation.

Authors:  Fatemeh Parastesh; Karthikeyan Rajagopal; Anitha Karthikeyan; Ahmed Alsaedi; Tasawar Hayat; Viet-Thanh Pham
Journal:  Cogn Neurodyn       Date:  2018-07-14       Impact factor: 5.082

2.  The smallest chimera state for coupled pendula.

Authors:  Jerzy Wojewoda; Krzysztof Czolczynski; Yuri Maistrenko; Tomasz Kapitaniak
Journal:  Sci Rep       Date:  2016-10-07       Impact factor: 4.379

3.  Experimental multistable states for small network of coupled pendula.

Authors:  Dawid Dudkowski; Juliusz Grabski; Jerzy Wojewoda; Przemyslaw Perlikowski; Yuri Maistrenko; Tomasz Kapitaniak
Journal:  Sci Rep       Date:  2016-07-21       Impact factor: 4.379

4.  Chimeras and complex cluster states in arrays of spin-torque oscillators.

Authors:  Michael Zaks; Arkady Pikovsky
Journal:  Sci Rep       Date:  2017-07-05       Impact factor: 4.379

5.  A two-layered brain network model and its chimera state.

Authors:  Ling Kang; Changhai Tian; Siyu Huo; Zonghua Liu
Journal:  Sci Rep       Date:  2019-10-07       Impact factor: 4.379

  5 in total

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