Literature DB >> 24765967

Chimera states: the existence criteria revisited.

Gautam C Sethia1, Abhijit Sen2.   

Abstract

Chimera states, representing a spontaneous breakup of a population of identical oscillators that are identically coupled, into subpopulations displaying synchronized and desynchronized behavior, have traditionally been found to exist in weakly coupled systems and with some form of nonlocal coupling between the oscillators. Here we show that neither the weak-coupling approximation nor nonlocal coupling are essential conditions for their existence. We obtain, for the first time, amplitude-mediated chimera states in a system of globally coupled complex Ginzburg-Landau oscillators. We delineate the dynamical origins for the formation of such states from a bifurcation analysis of a reduced model equation and also discuss the practical implications of our discovery of this broader class of chimera states.

Year:  2014        PMID: 24765967     DOI: 10.1103/PhysRevLett.112.144101

Source DB:  PubMed          Journal:  Phys Rev Lett        ISSN: 0031-9007            Impact factor:   9.161


  10 in total

1.  Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience.

Authors:  Peter Ashwin; Stephen Coombes; Rachel Nicks
Journal:  J Math Neurosci       Date:  2016-01-06       Impact factor: 1.300

2.  Nonlinear phase coupling functions: a numerical study.

Authors:  Michael Rosenblum; Arkady Pikovsky
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2019-10-28       Impact factor: 4.226

3.  Self-organized alternating chimera states in oscillatory media.

Authors:  Sindre W Haugland; Lennart Schmidt; Katharina Krischer
Journal:  Sci Rep       Date:  2015-04-30       Impact factor: 4.379

4.  Two-frequency chimera state in a ring of nonlocally coupled Brusselators.

Authors:  Qionglin Dai; Danna Liu; Hongyan Cheng; Haihong Li; Junzhong Yang
Journal:  PLoS One       Date:  2017-10-27       Impact factor: 3.240

5.  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

6.  Basin stability for chimera states.

Authors:  Sarbendu Rakshit; Bidesh K Bera; Matjaž Perc; Dibakar Ghosh
Journal:  Sci Rep       Date:  2017-05-25       Impact factor: 4.379

7.  Enhancing coherence via tuning coupling range in nonlocally coupled Stuart-Landau oscillators.

Authors:  Nannan Zhao; Zhongkui Sun; Wei Xu
Journal:  Sci Rep       Date:  2018-06-07       Impact factor: 4.379

8.  Cognitive chimera states in human brain networks.

Authors:  Kanika Bansal; Javier O Garcia; Steven H Tompson; Timothy Verstynen; Jean M Vettel; Sarah F Muldoon
Journal:  Sci Adv       Date:  2019-04-03       Impact factor: 14.136

9.  Against mass media trends: Minority growth in cultural globalization.

Authors:  M G Cosenza; M E Gavidia; J C González-Avella
Journal:  PLoS One       Date:  2020-04-02       Impact factor: 3.240

10.  Chimera-like States in Modular Neural Networks.

Authors:  Johanne Hizanidis; Nikos E Kouvaris; Gorka Zamora-López; Zamora-López Gorka; Albert Díaz-Guilera; Chris G Antonopoulos
Journal:  Sci Rep       Date:  2016-01-22       Impact factor: 4.379

  10 in total

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