Persistence of multi-dimensional degenerate hyperbolic lower dimensional invariant tori in reversible systems
DOI10.1016/j.jde.2022.11.037OpenAlexW4310117577MaRDI QIDQ2111233
Publication date: 28 December 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.11.037
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) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- On the persistence of quasi-periodic invariant tori for double Hopf bifurcation of vector fields
- On small perturbations of a nonlinear periodic system with degenerate equilibrium
- Construction of response solutions for two classes of quasi-periodically forced four-dimensional nonlinear systems with degenerate equilibrium point under small perturbations
- Invariant m-dimensional tori of reversible systems with phase space of dimension greater than 2m
- A KAM theorem for hyperbolic-type degenerate lower dimensional tori in Hamiltonian systems
- Unfoldings of quasi-periodic tori in reversible systems
- A quasi-periodic Poincaré's theorem
- Degenerate lower dimensional invariant tori in reversible system
- Completely degenerate lower-dimensional invariant tori for Hamiltonian system
- Persistence of hyperbolic tori in Hamiltonian systems
- Persistence of degenerate lower dimensional invariant tori in reversible systems with Bruno non-degeneracy conditions
- Parabolic invariant tori in quasi-periodically forced skew-product maps
- Persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems
- Degenerate lower-dimensional tori in Hamiltonian systems
- Convergent series expansions for quasi-periodic motions
- On the conservation of hyperbolic invariant tori for Hamiltonian systems
- A lecture on the classical KAM theorem
- Reducibility for a class of nonlinear quasi-periodic differential equations with degenerate equilibrium point under small perturbation
- Persistence of lower dimensional tori of general types in Hamiltonian systems
- On the persistence of degenerate lower-dimensional tori in reversible systems
- Degenerate lower-dimensional tori under the Bryuno condition
- On the Number of Solutions to Polynomial Systems of Equations
- Generalized implicit function theorems with applications to some small divisor problems, II
- The iteration-approximation decoupling in the reversible KAM theory
- Response solutions and quasi-periodic degenerate bifurcations for quasi-periodically forced systems
- Completely degenerate responsive tori in Hamiltonian systems
- On lower dimensional invariant tori in reversible systems
- Persistence of degenerate lower dimensional invariant tori with prescribed frequencies in reversible systems
