Fourier feature extraction combined with unsupervised clustering on total variations of amplitude, phase, and frequency classifies chimera state types in Rayleigh oscillator networks.
Coexistence of coherence and incoherence in nonlocally coupled phase oscil- lators.arXiv preprint cond-mat/0210694
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abstract
The phase oscillator model with global coupling is extended to the case of finite-range nonlocal coupling. Under suitable conditions, peculiar patterns emerge in which a quasi-continuous array of identical oscillators separates sharply into two domains, one composed of mutually synchronized oscillators with unique frequency and the other composed of desynchronized oscillators with distributed frequencies. We apply a theory similar to the one which successfully explained the onset of collective synchronization in globally coupled phase oscillators with frequency distribution. A space-dependent order parameter is thus introduced, and an exact functional self-consistency equation is derived for this quantity. Its numerical solution is confirmed to reproduce the simulation results accurately.
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A mechanochemical model of 1D active solids coupled to Hopf oscillators reveals symmetry-protected phases and a compression-driven oscillation death transition classifiable by group theory.
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Classification of Chimera States via Fourier Analysis and Unsupervised Learning
Fourier feature extraction combined with unsupervised clustering on total variations of amplitude, phase, and frequency classifies chimera state types in Rayleigh oscillator networks.
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Symmetry-protected phases in a 1D active solid with mechanochemical feedback
A mechanochemical model of 1D active solids coupled to Hopf oscillators reveals symmetry-protected phases and a compression-driven oscillation death transition classifiable by group theory.