On elliptic lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems with small parameters
DOI10.1134/S156035472404004XMaRDI QIDQ6612702
Publication date: 1 October 2024
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
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)
Cites Work
- 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
- Resonant tori of arbitrary codimension for quasi-periodically forced systems
- Oscillator synchronisation under arbitrary quasi-periodic forcing
- On elliptic lower dimensional tori in Hamiltonian systems
- On Melnikov's persistency problem
- Elliptic-type degenerate invariant tori for quasi-periodically forced four-dimensional non-conservative systems
- Persistence of invariant tori on submanifolds in Hamiltonian systems
- KAM-stable Hamiltonians
- Persistence of invariant torus in Hamiltonian systems with two-degree of freedom
- A lecture on the classical KAM theorem
- Response solutions for forced systems with large dissipation and arbitrary frequency vectors
- On the reducibility of two-dimensional linear quasi-periodic systems with small parameter
- Newton's method and periodic solutions of nonlinear wave equations
- Response solutions and quasi-periodic degenerate bifurcations for quasi-periodically forced systems
- Stoker's Problem for Quasi-periodically Forced Reversible Systems with Multidimensional Liouvillean Frequency
- Resonant motions in the presence of degeneracies for quasi-periodically perturbed systems
- PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
- Persistence of lower dimensional degenerate invariant tori with prescribed frequencies in Hamiltonian systems with small parameter
- Response solutions for completely degenerate oscillators under arbitrary quasi-periodic perturbations
Related Items (1)
This page was built for publication: On elliptic lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems with small parameters
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6612702)
