AN EQUATION-FREE APPROACH TO COUPLED OSCILLATOR DYNAMICS: THE KURAMOTO MODEL EXAMPLE

DOI10.1142/S021812740601588XzbMath1167.34328arXivnlin/0502016MaRDI QIDQ3598852

Ioannis G. Kevrekidis, Sung Joon Moon

Publication date: 3 February 2009

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

Full work available at URL: https://arxiv.org/abs/nlin/0502016

zbMATH Keywords

coupled oscillatorsequation-freemultiscale computation

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (2)

An equation-free approach to analyzing heterogeneous cell population dynamics ⋮ Periodically-forced finite networks of heterogeneous globally-coupled oscillators: a low-di\-men\-sion\-al approach

Cites Work

• The gap-tooth method in particle simulations
• Telescopic projective methods for parabolic differential equations
• Computing in the past with forward integration
• Patch dynamics with buffers for homogenization problems
• Stabilization of Unstable Procedures: The Recursive Projection Method
• Frequency Plateaus in a Chain of Weakly Coupled Oscillators, I.
• Projective Methods for Stiff Differential Equations: Problems with Gaps in Their Eigenvalue Spectrum
• “Coarse” stability and bifurcation analysis using time-steppers: A reaction-diffusion example
• Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes

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