On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs
DOI10.1080/00207160.2021.1952997zbMath1493.37092arXiv2102.07167OpenAlexW3133464843MaRDI QIDQ5033356
Mechthild Thalhammer, Christian Kuehn, Tobias Böhle
Publication date: 22 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.07167
numerical integrationdynamical systemsdifferential equationsgeometric integrationnetwork dynamicsKuramoto modelKuramoto model on graphs
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Simulation of dynamical systems (37M05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Dynamical systems involving maps of trees and graphs (37E25)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Stability and bifurcation for the Kuramoto model
- Emergence of phase-locked states for the Kuramoto model in a large coupling regime
- Synchronization in complex networks of phase oscillators: a survey
- The Kuramoto model in complex networks
- Chemical oscillations, waves, and turbulence
- Dynamical systems on networks. A tutorial
- Runge-Kutta schemes for Hamiltonian systems
- Anti-phase solutions in relaxation oscillators coupled through excitatory interactions
- From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
- Onset of cooperative entrainment in limit-cycle oscillators with uniform all-to-all interactions: Bifurcation of the order function
- Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis
- Landau damping in the Kuramoto model
- A Concise Introduction to Geometric Numerical Integration
- Communities in Networks
- Phase Equations for Relaxation Oscillators
- Community structure in social and biological networks
- Fast unfolding of communities in large networks
- A proof of the Kuramoto conjecture for a bifurcation structure of the infinite-dimensional Kuramoto model
- Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
- Emergent Behavior in Flocks
- Computing Communities in Large Networks Using Random Walks
This page was built for publication: On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs
