Persistence of the non-twist degenerate lower dimensional invariant torus in reversible systems
DOI10.1007/s12346-024-01108-7MaRDI QIDQ6587037
Publication date: 13 August 2024
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Nearly integrable Hamiltonian systems, KAM theory (70H08) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Construction of response solutions for two classes of quasi-periodically forced four-dimensional nonlinear systems with degenerate equilibrium point under small perturbations
- Invariant tori for nearly integrable Hamiltonian systems with degeneracy
- Invariant tori in non-degenerate nearly integrable Hamiltonian systems
- Completely degenerate lower-dimensional invariant tori for Hamiltonian system
- Persistence of multi-dimensional degenerate hyperbolic lower dimensional invariant tori in reversible systems
- Persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems
- Quasi-periodic solutions for differential equations with an elliptic-type degenerate equilibrium point under small perturbations
- Convergent series expansions for quasi-periodic motions
- A lecture on the classical KAM theorem
- On the persistence of degenerate lower-dimensional tori in reversible systems
- Persistence of the non-twist torus in nearly integrable hamiltonian systems
- On the Number of Solutions to Polynomial Systems of Equations
- Response solutions and quasi-periodic degenerate bifurcations for quasi-periodically forced systems
- Completely degenerate responsive tori in Hamiltonian systems
- Partial preservation of frequencies in KAM theory
- On lower dimensional invariant tori in reversible systems
- Persistence of multiscale degenerate invariant tori for reversible systems with multiscale degenerate equilibrium points
This page was built for publication: Persistence of the non-twist degenerate lower dimensional invariant torus in reversible systems
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6587037)
