Non-identical multiplexing promotes chimera states

Abstract

We present the emergence of chimeras, a state referring to coexistence of partly coherent, partly incoherent dynamics in networks of identical oscillators, in a multiplex network consisting of two non-identical layers which are interconnected. We demonstrate that the parameter range displaying the chimera state in the homogeneous first layer of the multiplex networks can be tuned by changing the link density or connection architecture of the same nodes in the second layer. We focus on the impact of the interconnected second layer on the enlargement or shrinking of the coupling regime for which chimeras are displayed in the homogeneous first layer. We find that a denser homogeneous second layer promotes chimera in a sparse first layer, where chimeras do not occur in isolation. Furthermore, while a dense connection density is required for the second layer if it is homogeneous, this is not true if the second layer is inhomogeneous. We demonstrate that a sparse inhomogeneous second layer which is common in real-world complex systems can promote chimera states in a sparse homogeneous first layer.

6 pages,7 figures, (To appear in Chaos, Solitons & Fractals). Supplemental Material available at https://figshare.com/s/a6c509d44dd86c81ff92

References in corpus (20)

• Emergence of scaling in random networks
• The structure and dynamics of multilayer networks
• Chimera States for Coupled Oscillators
• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Loss of coherence in dynamical networks: spatial chaos and chimera states
• Chimera states: The Existence Criteria Revisited
• Chimera states in bursting neurons
• Chimeras in networks with purely local coupling
• A classification scheme for chimera states
• Clustering as a prerequisite for chimera states in globally coupled systems
• Controlling unstable chaos: Stabilizing chimera states by feedback
• Amplitude-phase coupling drives chimera states in globally coupled laser networks
• Quantum signatures of Chimera states
• A Tweezer for Chimeras in Small Networks
• Hyperbolicity impedes emergence of chimera states in networks of nonlocally coupled chaotic oscillators
• Birth and Death of Chimera: Interplay of Delay and Multiplexing
• Emergence of chimera in multiplex network
• Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback control
• Multilayer network decoding versatility and trust
• Quantum chimera states

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• Machine Learning assisted Chimera and Solitary states in Networks
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