Emergence of chimera in multiplex network

Abstract

Chimera is a relatively new emerging phenomenon where coexistence of synchronous and asynchronous state is observed in symmetrically coupled dynamical units. We report observation of the chimera state in multiplex networks where individual layer is represented by 1-d lattice with non-local interactions. While, multiplexing does not change the type of the chimera state and retains the multi-chimera state displayed by the isolated networks, it changes the regions of the incoherence. We investigate emergence of coherent-incoherent bifurcation upon varying the control parameters, namely, the coupling strength and the network size. Additionally, we investigate the effect of initial condition on the dynamics of the chimera state. Using a measure based on the differences between the neighboring nodes which distinguishes smooth and non-smooth spatial profile, we find the critical coupling strength for the transition to the chimera state. Observing chimera in a multiplex network with one to one inter layer coupling is important to gain insight to many real world complex systems which inherently posses multilayer architecture.

11 pages, 10 figures (Accepted for publication in Int. J. Bifurc. Chaos)

References in corpus (11)

• The structure and dynamics of multilayer networks
• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Evolutionary games on multilayer networks: A colloquium
• Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators
• Clustered chimera states in delay coupled oscillator systems
• Chimeras in networks with purely local coupling
• Transient scaling and resurgence of chimera states in networks of Boolean phase oscillators
• Chimera states in time-varying complex networks
• Chimera states on the surface of a sphere
• Chimeras in SQUID Metamaterials
• Hyperbolicity impedes emergence of chimera states in networks of nonlocally coupled chaotic oscillators

Cited by in corpus (27)

• Basin stability for chimera states
• Delay controls chimera relay synchronization in multiplex networks
• Alternating chimeras in networks of ephaptically coupled bursting neurons
• Chimera states in two-dimensional networks of locally coupled oscillators
• Birth and Death of Chimera: Interplay of Delay and Multiplexing
• Weak multiplexing in neural networks: Switching between chimera and solitary states
• Inhibition induced explosive synchronization in multiplex networks
• Control of coherence resonance by self-induced stochastic resonance in a multiplex neural network
• Delay Regulated Explosive Synchronization in Multiplex Networks
• Non-identical multiplexing promotes chimera states
• Relay synchronization in multiplex networks of discrete maps
• Chimera-like behavior in a heterogeneous Kuramoto model: the interplay between the attractive and repulsive coupling
• 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
• Solitary states in multiplex neural networks: onset and vulnerability
• Chimera states in networks of logistic maps with hierarchical connectivities
• Is repulsion good for the health of Chimeras?
• Delay engineered solitary states in complex networks
• Identification of Chimera using Machine Learning
• Machine Learning assisted Chimera and Solitary states in Networks
• Interplay of Delay and multiplexing: Impact on Cluster Synchronization
• Chimera states for a globally coupled sine circle map lattice: spatiotemporal intermittency and hyperchaos
• Engineering chimera patterns in networks using heterogeneous delays
• Frequency chimera state induced by differing dynamical timescales
• Spiral wave chimera-like transient dynamics in three-dimensional grid of diffusive ecological systems
• Taming Chimeras in Networks through Multiplexing Delays
• Explosive Synchronization in Multilayer Dynamically Dissimilar Networks