Stability of Twisted States in the Continuum Kuramoto Model

DOI10.1137/16M1059175zbMath1377.35253arXiv1606.07857MaRDI QIDQ2960080

J. Douglas Wright, Georgi S. Medvedev

Publication date: 7 February 2017

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07857

zbMATH Keywords

nonlinear stabilityKuramoto modeltwisted states

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Neural biology (92C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Integro-partial differential equations (35R09)

Related Items (6)

Sparse Monte Carlo Method for Nonlocal Diffusion Problems ⋮ The mathematics behind chimera states ⋮ Phase Oscillator Networks with Nonlocal Higher-Order Interactions: Twisted States, Stability, and Bifurcations ⋮ Topological States in the Kuramoto Model ⋮ The Kuramoto model on power law graphs: synchronization and contrast states ⋮ Bifurcations in the Kuramoto model on graphs

Cites Work

• Unnamed Item
• Stability of twisted states in the Kuramoto model on Cayley and random graphs
• Geometric theory of semilinear parabolic equations
• Renormalization group analysis of the small-world network model
• Small-world networks of Kuramoto oscillators
• The nonlinear heat equation on \(W\)-random graphs
• The Nonlinear Heat Equation on Dense Graphs and Graph Limits
• The size of the sync basin
• An Introduction to Partial Differential Equations
• Collective dynamics of ‘small-world’ networks

This page was built for publication: Stability of Twisted States in the Continuum Kuramoto Model