Local behavior near quasi-periodic solutions of conformally symplectic systems
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Publication:376308
DOI10.1007/s10884-013-9319-0zbMath1274.70040OpenAlexW2090549233MaRDI QIDQ376308
Rafael de la Llave, Alessandra Celletti, Renato C. Calleja
Publication date: 4 November 2013
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-013-9319-0
Stability for nonlinear problems in mechanics (70K20) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Stability of manifolds of solutions to ordinary differential equations (34D35)
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Cites Work
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- Some properties of locally conformal symplectic structures
- Computation of whiskered invariant tori and their associated manifolds: new fast algorithms
- Globally and locally attractive solutions for quasi-periodically forced systems
- Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation
- Cohomology equations near hyperbolic points and geometric versions of Sternberg linearization theorem
- Isochrons and phaseless sets
- Patterns of phase compromise in biological cycles
- A KAM theory for conformally symplectic systems: efficient algorithms and their validation
- Neighborhoods of hyperbolic sets
- Computation of Limit Cycles and Their Isochrons: Fast Algorithms and Their Convergence
- Quasi-periodic motions in strongly dissipative forced systems
- Local Contractions and a Theorem of Poincare
- A Computational and Geometric Approach to Phase Resetting Curves and Surfaces
- Quasiperiodic motions in dynamical systems: Review of a renormalization group approach
- Fast Algorithms for Manipulating Formal Power Series
- On the Volume Elements on a Manifold
