Phase chimera states: frozen patterns of disorder
arXiv:2308.06190 · doi:10.1063/5.0275286
Abstract
Coupled oscillators can serve as a testbed for larger questions of pattern formation across many areas of science and engineering. Much effort has been dedicated to the Kuramoto model and phase oscillators, but less has focused on oscillators with variable amplitudes. Here we examine the simplest such oscillators -- Stuart-Landau oscillators -- and attempt to elucidate some puzzling dynamics observed in simulation by us and others. We demonstrate the existence and stability of a previously unreported state which we call a ``phase chimera state.'' Remarkably, in this state, the amplitudes of all oscillators are identical, but one subset of oscillators phase-locks while another subset remains incoherent in phase. We also show that this state can take the form of a ``multitailed phase chimera state'' where a single phase-synchronous cluster of oscillators coexists with multiple groups of phase-incoherent oscillators.
arXiv comment5 pages of main text, 4 pages supplemental material, 5 figures in the main text, 1 figure in the supplemental material
References in corpus (15)
- 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: The Existence Criteria Revisited
- Laser Chimeras as a paradigm for multi-stable patterns in complex systems
- Weak chimeras in minimal networks of coupled phase oscillators
- Predicting the spatiotemporal diversity of seizure propagation and termination in human focal epilepsy
- Cognitive chimera states in human brain networks
- Clustering as a prerequisite for chimera states in globally coupled systems
- Chimera patterns in two-dimensional networks of coupled neurons
- The smallest chimera states
- A Tweezer for Chimeras in Small Networks
- Cascades of Multi-headed Chimera States for Coupled Phase Oscillators
- Symmetries of Chimera States
- Phase chimera states on non-local hyperrings