Stability Diagram, Hysteresis, and Critical Time Delay and Frequency for the Kuramoto Model with Heterogeneous Interaction Delays

DOI10.1142/S0218127418300148zbMath1392.34084arXiv1707.02249MaRDI QIDQ4566426

P. S. Skardal

Publication date: 15 June 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02249

zbMATH Keywords

hysteresistime delaycoupled oscillatorssynchronization

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Bifurcation theory of functional-differential equations (34K18) Monotone systems involving ordinary differential equations (34C12)

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Synchronization of Kuramoto oscillators with the distributed time-delays and inertia effect ⋮ Exact dynamics of phase transitions in oscillator populations with nonlinear coupling ⋮ Data-driven stochastic modeling of coarse-grained dynamics with finite-size effects using Langevin regression

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