Controlling Chimeras

Abstract

Coupled phase oscillators model a variety of dynamical phenomena in nature and technological applications. Non-local coupling gives rise to chimera states which are characterized by a distinct part of phase-synchronized oscillators while the remaining ones move incoherently. Here, we apply the idea of control to chimera states: using gradient dynamics to exploit drift of a chimera, it will attain any desired target position. Through control, chimera states become functionally relevant; for example, the controlled position of localized synchrony may encode information and perform computations. Since functional aspects are crucial in (neuro-)biology and technology, the localized synchronization of a chimera state becomes accessible to develop novel applications. Based on gradient dynamics, our control strategy applies to any suitable observable and can be generalized to arbitrary dimensions. Thus, the applicability of chimera control goes beyond chimera states in non-locally coupled systems.

References in corpus (5)

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• Chimera states in heterogeneous networks
• Instability of synchronized motion in nonlocally coupled neural oscillators
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Cited by in corpus (46)

• Coherence-resonance chimeras in a network of excitable elements
• Chimera states: Effects of different coupling topologies
• Chimera patterns in two-dimensional networks of coupled neurons
• Chimera patterns induced by distance-dependent power-law coupling in ecological networks
• Nonlinearity of local dynamics promotes multi-chimeras
• Chimera states in population dynamics: networks with fragmented and hierarchical connectivities
• Basins of Attraction for Chimera States
• A Tweezer for Chimeras in Small Networks
• Robust chimera states in SQUID metamaterials with local interactions
• Delayed-feedback chimera states: Forced multiclusters and stochastic resonance
• Chimera states in complex networks: interplay of fractal topology and delay
• Chimera states in two populations with heterogeneous phase-lag
• Controlling Chimera States - The influence of excitable units
• Chaotic Weak Chimeras and their Persistence in Coupled Populations of Phase Oscillators
• The changing notion of chimera states, a critical review
• Heteroclinic switching between chimeras
• Robust Weak Chimeras in Oscillator Networks with Delayed Linear and Quadratic Interactions
• Networks of coupled oscillators: from phase to amplitude chimeras
• Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback control
• Optimal self-induced stochastic resonance in multiplex neural networks: electrical versus chemical synapses
• Delay-induced chimeras in neural networks with fractal topology
• Chimera states in networks of logistic maps with hierarchical connectivities
• Asynchronous Networks and Event Driven Dynamics
• Chimera states and synchronization in magnetically driven SQUID metamaterials
• Itinerant chimeras in an adaptive network of pulse-coupled oscillators
• Heteroclinic Dynamics of Localized Frequency Synchrony: Heteroclinic Cycles for Small Populations
• Machine learning with observers predicts complex spatiotemporal behavior
• Directed Flow of Information in Chimera States
• Self adaptation of chimera states
• Chimera states in systems of nonlocal nonidentical phase-coupled oscillators
• Locking and regularisation of chimeras by periodic forcing
• 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
• Asynchronous Networks: Modularization of Dynamics Theorem
• Controlled Generation of Chimera States in SQUID Metasurfaces using DC Flux Gradients
• Chimera states in a network-organized public goods game with destructive agents
• Pinning control of chimera states in systems with higher-order interactions
• Scaling law of transient lifetime of chimera states under dimension-augmenting perturbations
• Hopf Bifurcations of Twisted States in Phase Oscillators Rings with Nonpairwise Higher-Order Interactions
• Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons
• Noise-induced chimera states in a neural network
• Chimera states in quantum mechanics
• Chimera states in ring-star network of Chua circuits
• Chimera states for directed networks
• Inducing chimera-synchronization in symmetric complex networks