Robust universal approach to identify travelling chimeras and synchronized clusters in spiking networks
arXiv:2103.09304 · doi:10.1016/j.chaos.2021.111541
Abstract
We propose a robust universal approach to identify multiple dynamical states, including stationary and travelling chimera states based on an adaptive coherence measure. Our approach allows automatic disambiguation of synchronized clusters, travelling waves, chimera states, and asynchronous regimes. In addition, our method can determine the number of clusters in the case of cluster synchronization. We further couple our approach with a new speed calculation method for travelling chimeras. We validate our approach by an example of a ring network of type II Morris-Lecar neurons with asymmetrical nonlocal inhibitory connections where we identify a rich repertoire of coherent and wave states. We propose that the method is robust for the networks of phase oscillators and extends to a general class of relaxation oscillator networks.
References in corpus (29)
- Chimera States for Coupled Oscillators
- Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
- Chimera States in Mechanical Oscillator Networks
- Solvable model for chimera states of coupled oscillators
- When Nonlocal Coupling Between Oscillators Becomes Stronger: Patched Synchrony or Multi-Chimera States
- Chimera Death: Symmetry Breaking in Dynamical Networks
- Robustness of chimera states for coupled FitzHugh-Nagumo oscillators
- Chimera-like states in an ensemble of globally coupled oscillators
- Observation and characterization of chimera states in coupled dynamical systems with nonlocal coupling
- Chimera states in bursting neurons
- Laser Chimeras as a paradigm for multi-stable patterns in complex systems
- Chimeras in networks with purely local coupling
- A classification scheme for chimera states
- Chimera states: Effects of different coupling topologies
- Chimera states in brain networks: empirical neural vs. modular fractal connectivity
- Instability of synchronized motion in nonlocally coupled neural oscillators
- Collective chaos in pulse-coupled neural networks
- Imperfect traveling chimera states induced by local synaptic gradient coupling
- Chimeras in networks of planar oscillators
- FitzHugh-Nagumo oscillators on complex networks mimic epileptic-seizure-related synchronization phenomena
- Chimera states in time-varying complex networks
- Chimera states in population dynamics: networks with fragmented and hierarchical connectivities
- Delay controls chimera relay synchronization in multiplex networks
- Chimeras in a Network of Three Oscillator Populations with Varying Network Topology
- Chimera states in complex networks: interplay of fractal topology and delay
- New type of chimera structures in a ring of bistable FitzHugh-Nagumo oscillators with nonlocal interaction
- Symmetries of Chimera States
- Chimera states in networks of logistic maps with hierarchical connectivities
- Isotropy of Angular Frequencies and Weak Chimeras With Broken Symmetry