Bifurcation from degenerate homoclinics in periodically forced systems

DOI10.3934/DCDS.1999.5.359zbMath0980.34042OpenAlexW1982764263MaRDI QIDQ1576825

Michal Fečkan

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.1999.5.359

zbMATH Keywords

bifurcationhomoclinic solutionsperiodic perturbationsdegenerate homoclinic solution

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (7)

Homoclinic finger-rings in \(\mathbb{R}^N\) ⋮ Computation of bifurcation manifolds of linearly independent homoclinic orbits ⋮ Saddle-node bifurcations of multiple homoclinic solutions in odes ⋮ The transversal homoclinic solutions and chaos for stochastic ordinary differential equations ⋮ TRANSVERSE HOMOCLINIC ORBIT BIFURCATED FROM A HOMOCLINIC MANIFOLD BY THE HIGHER ORDER MELNIKOV INTEGRALS ⋮ Multiple chaos arising from single-parametric perturbation of a degenerate homoclinic orbit ⋮ Multiple transverse homoclinic solutions near a degenerate homoclinic orbit

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