Poincaré index and periodic solutions of perturbed autonomous systems
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Publication:3057477
DOI10.1090/S0077-1554-09-00176-9zbMath1220.34062arXiv0710.0006MaRDI QIDQ3057477
Publication date: 24 November 2010
Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0710.0006
Periodic solutions to ordinary differential equations (34C25) Degree theory for nonlinear operators (47H11) Perturbations of ordinary differential equations (34D10)
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Cites Work
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- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- On nonconservative periodic systems close to two-dimensional Hamiltonian
- On the number of critical points of the period
- The number of periodic solutions of 2-dimensional periodic systems
- Remark on the number of critical points of the period
- Averaging methods for finding periodic orbits via Brouwer degree.
- A continuation theorem for periodic boundary value problems with oscillatory nonlinearities
- Periodic solutions for planar autonomous systems with nonsmooth periodic perturbations
- On the monotonicity of the period function of a quadratic system
- Some applications of Hausdorff dimension inequalities for ordinary differential equations
- Bifurcation of Critical Periods for Plane Vector Fields
- Small parameter perturbations of nonlinear periodic systems
- Periodic solutions for a class of singulary perturbated systems
- Topologie et équations fonctionnelles
- Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
- A continuation principle for a class of periodically perturbed autonomoussystems
- The Melnikov Theory for Subharmonics and Their Bifurcations in Forced Oscillations
- Degenerate resonances in Hamiltonian systems with 3/2 degrees of freedom
- On the continuation of periodic orbits