Multiple homoclinic solutions for singular differential equations
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Publication:975297
DOI10.1016/j.anihpc.2010.01.005zbMath1217.34075OpenAlexW1996946574MaRDI QIDQ975297
Guangping Luo, Chang Rong Zhu, Kunquan Lan
Publication date: 9 June 2010
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.anihpc.2010.01.005
Bifurcation theory for ordinary differential equations (34C23) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Cites Work
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- Heteroclinic orbits in systems with slowly varying coefficients
- Exponential dichotomies, heteroclinic orbits, and Melnikov functions
- Linearly independent homoclinic bifurcations parameterized by a small function
- Center manifolds and contractions on a scale of Banach spaces
- An example of bifurcation to homoclinic orbits
- Bifurcation of degenerate homoclinics
- Chaos in the Duffing equation
- Singular perturbations, transversality, and Sil'nikov saddle-focus homoclinic orbits
- Transversal bounded solutions in systems with normal slow variables
- Exponential dichotomies and transversal homoclinic points
- Homoclinic solutions for autonomous ordinary differential equations with nonautonomous perturbations
- Bifurcation from a homoclinic orbit in parabolic differential equations
- Homoclinic Solutions for Autonomous Dynamical Systems in Arbitrary Dimension
- Homoclinic Solutions and Chaos in Ordinary Differential Equations with Singular Perturbations
- Homoclinic points near degenerate homoclinics
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