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Singular perturbations, transversality, and Sil'nikov saddle-focus homoclinic orbits

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Publication:1425224
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DOI10.1023/B:JODY.0000009741.47178.6fzbMath1040.34065OpenAlexW1967232115MaRDI QIDQ1425224

Kenneth James Palmer, Flaviano Battelli

Publication date: 15 March 2004

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

Full work available at URL: https://doi.org/10.1023/b:jody.0000009741.47178.6f


zbMATH Keywords

singular perturbationstransversalitycentre manifoldhomoclinic


Mathematics Subject Classification ID

Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)


Related Items (4)

Regularization of discontinuous vector fields on \({\mathbb{R}^3}\) via singular perturbation ⋮ An example of chaotic dynamics in 3D systems via stretching along paths ⋮ Multiple homoclinic solutions for singular differential equations ⋮ On step-like contrast structure of singularly perturbed systems




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