Chimera states in a population of identical oscillators under planar cross-coupling

C. R. Hens, A. Mishra, P. K. Roy, A. Sen, S. K. Dana

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

We report the existence of chimera states in an assembly of identical nonlinear oscillators that are globally linked to each other in a simple planar cross-coupled form. The rotational symmetry breaking of the coupling term appears to be responsible for the emergence of these collective states that display a characteristic coexistence of coherent and incoherent behaviour. The finding, observed in both a collection of van der Pol oscillators and chaotic Rössler oscillators, further simplifies the existence criterion for chimeras, thereby broadens the range of their applicability to real-world situations.

Original languageEnglish
Pages (from-to)229-235
Number of pages7
JournalPramana - Journal of Physics
Volume84
Issue number2
DOIs
StatePublished - 1 Feb 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
©Indian Academy of Sciences.

Funding

CRH, SKD and PKR acknowledge support by the CSIR Emeritus Scientist Schemes. A Mishra is supported by the UGC-NET Fellowship.

FundersFunder number
UGC-NET
Council of Scientific and Industrial Research, India

    Keywords

    • Chimera
    • Rössler system
    • Synchronization
    • Van der Pol oscillator

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