Amplitude-phase coupling drives chimera states in globally coupled laser networks

Abstract

For a globally coupled network of semiconductor lasers with delayed optical feedback, we demonstrate the existence of chimera states. The domains of coherence and incoherence that are typical for chimera states are found to exist for the amplitude, phase, and inversion of the coupled lasers. These chimera states defy several of the previously established existence criteria. While chimera states in phase oscillators generally demand nonlocal coupling, large system sizes, and specially prepared initial conditions, we find chimera states that are stable for global coupling in a network of only four coupled lasers for random initial conditions. The existence is linked to a regime of multistability between the synchronous steady state and asynchronous periodic solutions. We show that amplitude-phase coupling, a concept common in different fields, is necessary for the formation of the chimera states.

arXiv comment5 pages, 5 figures

References in corpus (22)

• Chimera States for Coupled Oscillators
• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Spontaneous synchrony in power-grid networks
• Chimera States in Mechanical Oscillator Networks
• When Nonlocal Coupling Between Oscillators Becomes Stronger: Patched Synchrony or Multi-Chimera States
• Chimera Death: Symmetry Breaking in Dynamical Networks
• Rotating Spiral Waves with Phase-Randomized Core in Non-locally Coupled Oscillators
• Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling
• Chimera states: The Existence Criteria Revisited
• Chimera-like states in an ensemble of globally coupled oscillators
• Amplitude mediated chimera states
• Spontaneous Synchrony Breaking
• Instability of synchronized motion in nonlocally coupled neural oscillators
• Self-Emerging and Turbulent Chimeras in Oscillator Chains
• Chimeras in networks of planar oscillators
• Chimera states on a flat torus
• Localized coherence in two interacting populations of social agents
• Chimeras in SQUID Metamaterials
• Failure of the α-factor in describing QD laser dynamical instabilities and chaos
• Chaos synchronization in networks of delay-coupled lasers: Role of the coupling phases
• Multi-stabilities and symmetry-broken one-colour and two-colour states in closely coupled single-mode lasers
• Shear-stress controlled dynamics of nematic complex fluids

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