Transverse bounded solutions to saddle-centers in periodically perturbed ordinary differential equations
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Publication:880296
DOI10.1016/j.na.2006.05.008zbMath1120.34031OpenAlexW1997514569MaRDI QIDQ880296
Joseph Gruendler, Michal Fečkan
Publication date: 15 May 2007
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2006.05.008
Averaging method for ordinary differential equations (34C29) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
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Cites Work
- Exponential dichotomies, heteroclinic orbits, and Melnikov functions
- Global bifurcations and chaos. Analytical methods
- Dichotomies in stability theory
- Periodic motions
- The existence of chaos for ordinary differential equations with a center manifold
- The existence of transverse homoclinic solutions for higher order equations
- Exponential dichotomies and transversal homoclinic points
- Homoclinic solutions for autonomous ordinary differential equations with nonautonomous perturbations
- Homoclinic saddle-node bifurcations in singularly perturbed systems
- Homoclinic Solutions for Autonomous Dynamical Systems in Arbitrary Dimension
- Differentiable dynamical systems
- On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
- Averaging methods in nonlinear dynamical systems
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