Chimera and globally clustered chimera: Impact of time delay
- 7 April 2010
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 81 (4), 046203
- https://doi.org/10.1103/physreve.81.046203
Abstract
Following a short report of our preliminary results [Sheeba et al., Phys. Rev. E 79, 055203(R) (2009)], we present a more detailed study of the effects of coupling delay in diffusively coupled phase oscillator populations. We find that coupling delay induces chimera and globally clustered chimera (GCC) states in delay coupled populations. We show the existence of multiclustered states that act as link between the chimera and the GCC states. A stable GCC state goes through a variety of GCC states, namely, periodic, aperiodic, long- and short-period breathers and becomes unstable GCC leading to global synchronization in the system, on increasing time delay. We provide numerical evidence and theoretical explanations for the above results and discuss possible applications of the observed phenomena.Keywords
This publication has 41 references indexed in Scilit:
- Solvable Model for Chimera States of Coupled OscillatorsPhysical Review Letters, 2008
- Clustered Chimera States in Delay-Coupled Oscillator SystemsPhysical Review Letters, 2008
- Chimera States: The Natural Link Between Coherence and IncoherencePhysical Review Letters, 2008
- CHIMERA STATES IN A RING OF NONLOCALLY COUPLED OSCILLATORSInternational Journal of Bifurcation and Chaos, 2006
- Chimera States for Coupled OscillatorsPhysical Review Letters, 2004
- Rotating spiral waves with phase-randomized core in nonlocally coupled oscillatorsPhysical Review E, 2004
- SynchronizationPublished by Cambridge University Press (CUP) ,2001
- Exploring complex networksNature, 2001
- Chemical Oscillations, Waves, and TurbulencePublished by Springer Science and Business Media LLC ,1984
- Biological rhythms and the behavior of populations of coupled oscillatorsJournal of Theoretical Biology, 1967