Extending the zero-derivative principle for slow-fast dynamical systems

DOI10.1007/s00033-015-0552-8zbMath1330.34093OpenAlexW855859044WikidataQ61634693 ScholiaQ61634693MaRDI QIDQ894889

N. E. Zubov

Publication date: 24 November 2015

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-015-0552-8

zbMATH Keywords

curvatureghostsslow manifoldsslow-fast dynamicstemplatorFenichel theoryintrinsic low-dimensional manifoldszero-derivative principle

Mathematics Subject Classification ID

Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Approximations and expansions (41A99)

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A New Frame for an Old (Phase) Portrait: Finding Rivers and Other Flow Features in the Plane ⋮ Analysis of the approximate slow invariant manifold method for reactive flow equations ⋮ INVITED: Slow manifold reduction for plasma science ⋮ A geometric analysis of the SIR, SIRS and SIRWS epidemiological models ⋮ Inflection, canards and folded singularities in excitable systems: application to a 3D FitzHugh-Nagumo model ⋮ Slow Invariant Manifolds of Slow–Fast Dynamical Systems ⋮ Local orthogonal rectification: deriving natural coordinates to study flows relative to manifolds ⋮ Stochastic generation and shifts of phantom attractors in the 2D Rulkov model

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