\(C^r\)-inclination theorems for singularly perturbed equations

DOI10.1006/jdeq.1998.3577zbMath1126.34348OpenAlexW2112928012MaRDI QIDQ1293263

Pavol Brunovský

Publication date: 28 June 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3577

Mathematics Subject Classification ID

Singular perturbations for ordinary differential equations (34E15)

Related Items (11)

Viscous singular shock profiles for a system of conservation laws modeling two-phase flow ⋮ Existence of Dafermos profiles for singular shocks ⋮ Bifurcation to instability through the lens of the Maslov index ⋮ Planar radial spots in a three-component FitzHugh-Nagumo system ⋮ Exchange lemmas 1: Deng's Lemma ⋮ Exchange lemmas 2: General exchange Lemma ⋮ Geometric singular perturbation theory with real noise ⋮ Eigenvalues of self-similar solutions of the Dafermos regularization of a system of conservation laws via geometric singular perturbation theory ⋮ On bifurcation delay: an alternative approach using geometric singular perturbation theory ⋮ Introduction to the Geometric Theory of ODEs with Applications to Chemical Processes ⋮ Singular perturbation of \(N\)-front travelling waves in the FitzHugh-Nagumo equations

Cites Work

• Fast and slow waves in the FitzHugh-Nagumo equation
• Transversal heteroclinic and homoclinic orbits in singular perturbation problems
• Geometric singular perturbation theory for ordinary differential equations
• \(S\)-shaped bifurcation of a singularly perturbed boundary value problem
• Tracking invariant manifolds with differential forms in singularly perturbed systems
• Homoclinic Bifurcations with Nonhyperbolic Equilibria
• Tracking Invariant Manifolds up to Exponentially Small Errors
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