Chimera states in time-varying complex networks

Abstract

Chimera states have been recently found in a variety of different coupling schemes and geometries. In most cases, the underlying coupling structure is considered to be static, while many realistic systems display significant temporal changes in the pattern of connectivity. In this work, we investigate a time-varying network made of two coupled populations of Kuramoto oscillators, where the links between the two groups are considered to vary over time. As a main result, we find that the network may support stable, breathing and alternating chimera states. We also find that, when the rate of connectivity changes is fast, compared to the oscillator dynamics, the network may be described by a low-dimensional system of equations. Unlike in the static heterogeneous case, the onset of alternating chimera states is due to the presence of fluctuations, which may be induced either by the finite size of the network or by large switching times.

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• Partially integrable dynamics of hierarchical populations of coupled oscillators
• Spontaneous Synchrony Breaking
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Cited by in corpus (8)

• Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
• Chimera states in a multilayer network of coupled and uncoupled neurons
• Chimera states in uncoupled neurons induced by a multilayer structure
• Chimera states: Effects of different coupling topologies
• New type of chimera and mutual synchronization of spatiotemporal structures in two coupled ensembles of nonlocally interacting chaotic maps
• Chimera States in Continuous Media: Existence and Distinctness
• Critical Switching in Globally Attractive Chimeras
• Noise-induced chimera states in a neural network