An Iterative Method for the Approximation of Fibers in Slow-Fast Systems

DOI10.1137/120889666zbMath1301.34076arXiv1208.6420OpenAlexW2148714838WikidataQ59897808 ScholiaQ59897808MaRDI QIDQ2876697

Morten Brøns, Jens Starke, K. Uldall Kristiansen

Publication date: 19 August 2014

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

Full work available at URL: https://arxiv.org/abs/1208.6420

zbMATH Keywords

slow-fast systemssingular perturbation theoryreduction methods

Mathematics Subject Classification ID

Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13) Approximation methods and numerical treatment of dynamical systems (37M99)

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An Invariant-Manifold Approach to Lumping ⋮ Convergence of Equation-Free Methods in the Case of Finite Time Scale Separation with Application to Deterministic and Stochastic Systems ⋮ Global linearization and fiber bundle structure of invariant manifolds ⋮ Analysis of the approximate slow invariant manifold method for reactive flow equations ⋮ Computation of Saddle-Type Slow Manifolds Using Iterative Methods ⋮ A numerical method for the approximation of stable and unstable manifolds of microscopic simulators

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