Traveling spiral wave chimeras in coupled oscillator systems: emergence, dynamics, and transitions

DOI10.1088/1367-2630/ACFD4FMaRDI QIDQ6559781

M. G. Clerc, Edgar Knobloch, O. E. Omel'chenko, M. Bataille-Gonzalez

Publication date: 21 June 2024

Published in: New Journal of Physics (Search for Journal in Brave)

zbMATH Keywords

coupled oscillatorsspiral wavedriftchimera state

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX) Relativity and gravitational theory (83-XX)

Cites Work

• The dynamics of chimera states in heterogeneous Kuramoto networks
• Spiral wave chimera in two-dimensional nonlocally coupled FitzHugh-Nagumo systems
• Chimeras
• Partially coherent twisted states in arrays of coupled phase oscillators
• Coherence-incoherence patterns in a ring of non-locally coupled phase oscillators
• The world of the complex Ginzburg-Landau equation
• Comparative analysis of existing models for power-grid synchronization
• On homoclinic snaking in optical systems
• Hopf bifurcation on a square lattice
• Huygens's clocks
• The mathematics behind chimera states
• Stability of Spiral Chimera States on a Torus
• Traveling chimera states
• Periodic orbits in the Ott–Antonsen manifold
• Travelling chimera states in systems of phase oscillators with asymmetric nonlocal coupling
• Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators
• Low dimensional behavior of large systems of globally coupled oscillators
• Dynamics and pattern formation in large systems of spatially-coupled oscillators with finite response times
• Chimeras in Two-Dimensional Domains: Heterogeneity and the Continuum Limit
• Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons
• Amplitude-mediated chimera states in nonlocally coupled Stuart-Landau oscillators

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