Normal forms for Hamiltonian systems in some nilpotent cases
From MaRDI portal
Publication:2093115
DOI10.1134/S1560354722050033OpenAlexW4300863253MaRDI QIDQ2093115
Dieter S. Schmidt, Kenneth R. Meyer
Publication date: 4 November 2022
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1560354722050033
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) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)
Cites Work
- Unnamed Item
- Unnamed Item
- On stability at the Hamiltonian Hopf bifurcation
- A simple global characterization for normal forms of singular vector fields
- On resonant non linearly coupled oscillators with two equal frequencies
- On resonant classical Hamiltonians with two equal frequencies
- Versal normal form of the Hamiltonian function of the restricted problem of three bodies near \({\mathcal L}_ 4\)
- Reduction of Polynomial Planar Hamiltonians with Quadratic Unperturbed Part
- Morse Theory. (AM-51)
- Versal deformations of linear Hamiltonian systems
- Canonical forms for symplectic and Hamiltonian matrices
- Canonical transformations depending on a small parameter
- Periodic orbits near ?4 for mass ratios near the critical mass ratio of routh
- ON MATRICES DEPENDING ON PARAMETERS
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
This page was built for publication: Normal forms for Hamiltonian systems in some nilpotent cases