Mechanism for intensity induced chimera states in globally coupled oscillators

Abstract

We identify the mechanism behind the existence of intensity induced chimera states in globally coupled oscillators. We find that the effect of intensity in the system is to cause multistability by increasing the number of fixed points. This in turn increases the number of multistable attractors and we find that their stability is determined by the strength of coupling . This causes the coexistence of different collective states in the system depending upon the initial state. We demonstrate that intensity induced chimera is generic to both periodic and chaotic systems. We have discussed possible applications of our results to real world systems like the brain and spin torque nano oscillators.

arXiv comment11 pages, 9 figures ; Accepted for publication in Physical Review E

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• Experimental observation of chimera and cluster states in a minimal globally coupled network
• Basin stability for chimera states
• Alternating chimeras in networks of ephaptically coupled bursting neurons
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• Imperfect synchronized states and chimera states in two interacting populations of nonlocally coupled Stuart-Landau oscillators
• Amplitude chimera and chimera death induced by external dynamical agents
• Phase-flip chimera induced by environmental nonlocal coupling
• Long-range interaction induced collective dynamical behaviors
• Chimera-like states in two distinct groups of identical populations of coupled Stuart-Landau oscillators
• Chimera at the phase-flip transition of an ensemble of identical nonlinear oscillators
• Emerging chimera states under non-identical counter-rotating oscillators
• Amplitude mediated spiral chimera pattern in a nonlinear reaction-diffusion system
• Spiral wave chimera-like transient dynamics in three-dimensional grid of diffusive ecological systems
• Dynamics of coupled modified Rossler oscillators: the role of nonisochronicity parameter
• Large-scale spatio-temporal patterns in a ring of non-locally coupled oscillators with a repulsive coupling
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