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Transversal periodic-to-periodic homoclinic orbits in singularly perturbed systems

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Publication:1956537
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DOI10.3934/DCDSB.2010.14.367zbMath1208.34056OpenAlexW2002931758MaRDI QIDQ1956537

Flaviano Battelli, Kenneth James Palmer

Publication date: 22 September 2010

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2010.14.367


zbMATH Keywords

singular perturbationinvariant manifoldsMelnikov functionhomoclinic bifurcationSil'nikov orbits


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)


Related Items (1)

Inflated deterministic chaos and Smale's horseshoe







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