Chimera states on the surface of a sphere

Abstract

A chimera state is a spatiotemporal pattern in which a network of identical coupled oscillators exhibits coexisting regions of asynchronous and synchronous oscillation. Two distinct classes of chimera states have been shown to exist: "spots" and "spirals." Here we study coupled oscillators on the surface of a sphere, a single system in which both spot and spiral chimera states appear. We present an analysis of the birth and death of spiral chimera states and show that although they coexist with spot chimeras, they are stable in disjoint regions of parameter space.

7 pages text, 3 pages supplemental text, 8 figures

References in corpus (2)

• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators

Cited by in corpus (13)

• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Higher-order interactions promote chimera states
• Connecting the Kuramoto Model and the Chimera State
• Chimera States in Continuous Media: Existence and Distinctness
• Role of solitary states in forming spatiotemporal patterns in a 2D lattice of van der Pol oscillators
• Is repulsion good for the health of Chimeras?
• Symmetry breaking in two interacting populations of quadratic integrate-and-fire neurons
• Self adaptation of chimera states
• Quantifying the transition from spiral waves to spiral wave chimeras in a lattice of self-sustained oscillators
• Machine Learning assisted Chimera and Solitary states in Networks
• Scaling law of transient lifetime of chimera states under dimension-augmenting perturbations
• Chimeras with uniformly distributed heterogeneity: two coupled populations
• Chimera dynamics in nonlocally coupled moving phase oscillators