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Homoclinic and multibump solutions for perturbed second order systems using topological degree

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Publication:1576854
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DOI10.3934/DCDS.1999.5.765zbMath0980.34043OpenAlexW2072946904MaRDI QIDQ1576854

Marc Henrard

Publication date: 16 August 2000

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

Full work available at URL: https://doi.org/10.3934/dcds.1999.5.765


zbMATH Keywords

existencechaosPoincaré-Melnikov functionapproximate Bernoulli shift structureshomoclinic and multibump solutionsperturbed second-order systems


Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Complex behavior and chaotic systems of ordinary differential equations (34C28) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)


Related Items (2)

Closed curves in \((\mathbb{R}^{3})\) with prescribed curvature and torsion in perturbative cases. Part 2: Sufficient conditions ⋮ Bifurcation from a periodic orbit in perturbed planar Hamiltonian systems.







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