Chimera patterns under the impact of noise
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- 19 January 2016
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 93 (1), 012209
- https://doi.org/10.1103/physreve.93.012209
Abstract
We investigate two types of chimera states, patterns consisting of coexisting spatially separated domains with coherent and incoherent dynamics, in ring networks of Stuart-Landau oscillators with symmetry-breaking coupling, under the influence of noise. Amplitude chimeras are characterized by temporally periodic dynamics throughout the whole network, but spatially incoherent behavior with respect to the amplitudes in a part of the system; they are long-living transients. Chimera death states generalize chimeras to stationary inhomogeneous patterns (oscillation death), which combine spatially coherent and incoherent domains. We analyze the impact of random perturbations, addressing the question of robustness of chimera states in the presence of white noise. We further consider the effect of symmetries applied to random initial conditions.Keywords
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Funding Information
- Deutsche Forschungsgemeinschaft (SFB 910)
This publication has 53 references indexed in Scilit:
- Chimera states: coexistence of coherence and incoherence in networks of coupled oscillatorsNonlinearity, 2015
- Collective chaos in pulse-coupled neural networksEurophysics Letters, 2010
- Self-emerging and turbulent chimeras in oscillator chainsPhysical Review E, 2010
- Chimera and globally clustered chimera: Impact of time delayPhysical Review E, 2010
- Spontaneous synchrony breakingNature Physics, 2010
- Solvable Model of Spiral Wave ChimerasPhysical Review Letters, 2010
- The dynamics of chimera states in heterogeneous Kuramoto networksPhysica D: Nonlinear Phenomena, 2009
- Solvable Model for Chimera States of Coupled OscillatorsPhysical Review Letters, 2008
- Clustered Chimera States in Delay-Coupled Oscillator SystemsPhysical Review Letters, 2008
- Chimera States for Coupled OscillatorsPhysical Review Letters, 2004