Name
Abstract | ||
|---|---|---|
We study a nonlocal diffusion equation approximating the dynamics of coupled phase oscillators on large graphs. Under appropriate assumptions, the model has a family of steady state solutions called twisted states. We prove a sufficient condition for stability of twisted states with respect to perturbations in the Sobolev and BV spaces. As an application, we study the stability of twisted states in the Kuramoto model on small-world graphs. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1137/16M1059175 | SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS |
Keywords | Field | DocType |
Kuramoto model,twisted states,nonlinear stability | Graph,Oscillation,Control theory,Mathematical analysis,Sobolev space,Continuum (design consultancy),Kuramoto model,Steady state,Diffusion equation,Perturbation (astronomy),Mathematics | Journal |
Volume | Issue | ISSN |
16 | 1 | 1536-0040 |
Citations | PageRank | References |
1 | 0.37 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Georgi S. Medvedev | 1 | 90 | 14.52 |
| J. Douglas Wright | 2 | 4 | 2.42 |