A Tweezer for Chimeras in Small Networks

Abstract

We propose a control scheme which can stabilize and fix the position of chimera states in small networks. Chimeras consist of coexisting domains of spatially coherent and incoherent dynamics in systems of nonlocally coupled identical oscillators. Chimera states are generally difficult to observe in small networks due to their short lifetime and erratic drifting of the spatial position of the incoherent domain. The control scheme, like a tweezer, might be useful in experiments, where usually only small networks can be realized.

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Cited by in corpus (25)

• Chimera states: Effects of different coupling topologies
• Chimera states in brain networks: empirical neural vs. modular fractal connectivity
• Chimera patterns in two-dimensional networks of coupled neurons
• Chimera patterns induced by distance-dependent power-law coupling in ecological networks
• Robust chimera states in SQUID metamaterials with local interactions
• Chimera states in complex networks: interplay of fractal topology and delay
• Chimera states in two populations with heterogeneous phase-lag
• The changing notion of chimera states, a critical review
• Chimeras in Leaky Integrate-and-Fire Neural Networks: Effects of Reflecting Connectivities
• Control of amplitude chimeras by time delay in dynamical networks
• Non-identical multiplexing promotes chimera states
• Synchronization Patterns: From Network Motifs to Hierarchical Networks
• Networks of coupled oscillators: from phase to amplitude chimeras
• Delay-induced chimeras in neural networks with fractal topology
• Chimera states in networks of logistic maps with hierarchical connectivities
• Itinerant chimeras in an adaptive network of pulse-coupled oscillators
• Chimera states and synchronization in magnetically driven SQUID metamaterials
• Machine learning with observers predicts complex spatiotemporal behavior
• Multifaceted dynamics of Janus oscillator networks
• Engineering chimera patterns in networks using heterogeneous delays
• Chimera states and the interplay between initial conditions and non-local coupling
• Taming Chimeras in Networks through Multiplexing Delays
• Chimera states in a network-organized public goods game with destructive agents
• Noise-induced chimera states in a neural network
• Phase chimera states: frozen patterns of disorder