Bifurcations in the Sakaguchi–Kuramoto model
Copyright policy )Bifurcations in the Sakaguchi–Kuramoto model
We analyze the Sakaguchi-Kuramoto model of coupled phase oscillators in a continuum limit given by a frequency dependent version of the Ott-Antonsen system. Based on a self-consistency equation, we provide a detailed analysis of partially synchronized states, their bifurcation from the completely incoherent state and their stability properties. We use this method to analyze the bifurcations for various types of frequency distributions and explain the appearance of non-universal synchronization transitions.
Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol. 1791
- Weierstrass Institute for Applied Analysis and Stochastics Germany
- National Academy of Sciences of Ukraine Ukraine
- Weierstrass Institute Germany
- Institute of Mathematics Ukraine
- Leibniz Association Germany
ddc:510, Bifurcation theory for ordinary differential equations, Ott-Antonsen reduction, article, Synchronization of solutions to ordinary differential equations, Nonlinear oscillations and coupled oscillators for ordinary differential equations, 530, coupled oscillators, 510, synchronization -- coupled oscillators -- Sakaguchi-Kuramoto model -- Ott-Antonsen reduction, Sakaguchi-Kuramoto model, synchronization
ddc:510, Bifurcation theory for ordinary differential equations, Ott-Antonsen reduction, article, Synchronization of solutions to ordinary differential equations, Nonlinear oscillations and coupled oscillators for ordinary differential equations, 530, coupled oscillators, 510, synchronization -- coupled oscillators -- Sakaguchi-Kuramoto model -- Ott-Antonsen reduction, Sakaguchi-Kuramoto model, synchronization
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