Transverse intersection of invariant manifolds in singular systems.

DOI10.1006/jdeq.2000.3988zbMath1198.37028OpenAlexW2002429662MaRDI QIDQ5958944

Kenneth James Palmer, Flaviano Battelli

Publication date: 18 June 2002

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

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3988

Mathematics Subject Classification ID

Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

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Cites Work

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• Heteroclinic orbits in systems with slowly varying coefficients
• Transversal heteroclinic and homoclinic orbits in singular perturbation problems
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• Heteroclinic connections in singularly perturbed systems
• Transversal heteroclinic points and Cherry's example of a nonintegrable Hamiltonian system
• Geometric singular perturbation theory for ordinary differential equations
• Chaos in the Duffing equation
• Dichotomies in stability theory
• Heteroclinic orbits in singular systems: A unifying approach
• Asymptotic solutions of analytic Hamiltonian systems
• Invariant manifolds in singular perturbation problems for ordinary differential equations

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