Relay synchronization in multiplex networks of discrete maps
arXiv:1902.06472 · doi:10.1209/0295-5075/126/50004
Abstract
Complex multiplex networks consist of several subnetwork layers, which interact via pairwise inter-layer connections. Relay synchronization between distant layers which are not directly connected, but only via a relay layer, can be observed in multiplex networks. We study three-layer networks of discrete logistic maps, where each individual layer is a nonlocally coupled ring, and demonstrate scenarios of relay synchronization of complex patterns in the outer layers which interact via an intermediate layer. We find regimes of relay synchronization for chimera states, i.e., patterns of coexisting coherent and incoherent domains, and a transition from phase chimeras to amplitude chimeras for increasing inter-layer coupling. We determine analytically the approximate critical coupling strengths for the existence of phase chimeras.
References in corpus (39)
- Statistical mechanics of complex networks
- The structure and function of complex networks
- Multilayer Networks
- Chimera States for Coupled Oscillators
- Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
- Chimera States in Mechanical Oscillator Networks
- Loss of coherence in dynamical networks: spatial chaos and chimera states
- When Nonlocal Coupling Between Oscillators Becomes Stronger: Patched Synchrony or Multi-Chimera States
- Chimera Death: Symmetry Breaking in Dynamical Networks
- Solvable Model of Spiral Wave Chimeras
- Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling
- Remote synchronization reveals network symmetries and functional modules
- Chimera states: The Existence Criteria Revisited
- Metastable Chimera States in Community-Structured Oscillator Networks
- Chimera states in a multilayer network of coupled and uncoupled neurons
- Robustness of chimera states for coupled FitzHugh-Nagumo oscillators
- Coherence-resonance chimeras in a network of excitable elements
- Transition from spatial coherence to incoherence in coupled chaotic systems
- Multilayer motif analysis of brain networks
- Laser Chimeras as a paradigm for multi-stable patterns in complex systems
- Hidden geometric correlations in real multiplex networks
- Spontaneous Synchrony Breaking
- Transient scaling and resurgence of chimera states in networks of Boolean phase oscillators
- Moment Closure - A Brief Review
- Self-Emerging and Turbulent Chimeras in Oscillator Chains
- Chimeras in networks of planar oscillators
- Quantum signatures of Chimera states
- Chimera states in population dynamics: networks with fragmented and hierarchical connectivities
- Delay controls chimera relay synchronization in multiplex networks
- Incoherence-Mediated Remote Synchronization
- Hyperbolicity impedes emergence of chimera states in networks of nonlocally coupled chaotic oscillators
- Partially Locked States in Coupled Oscillators due to Inhomogeneous Coupling
- Chimera states in complex networks: interplay of fractal topology and delay
- Weak multiplexing in neural networks: Switching between chimera and solitary states
- Emergence of chimera in multiplex network
- New type of chimera and mutual synchronization of spatiotemporal structures in two coupled ensembles of nonlocally interacting chaotic maps
- Chimera States in a Two-Population Network of Coupled Pendulum-Like Elements
- Non-identical multiplexing promotes chimera states
- Is repulsion good for the health of Chimeras?