On resonant classical Hamiltonians with n frequencies
From MaRDI portal
Publication:923189
DOI10.1016/0022-0396(90)90057-VzbMath0711.34059OpenAlexW2049536546MaRDI QIDQ923189
Publication date: 1990
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(90)90057-v
Related Items
An invariant manifold approach to nonlinear normal modes of oscillation ⋮ Normal forms for three-dimensional parametric instabilities in ideal hydrodynamics ⋮ Geometry and chaos near resonant equilibria of 3-DOF Hamiltonian systems ⋮ Singular reduction of resonant Hamiltonians ⋮ Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance ⋮ Reduction theory and the Lagrange–Routh equations ⋮ Coherent State Maps for Kummer Shapes ⋮ Point vortices on a sphere: Stability of relative equilibria ⋮ The 1:2 resonance with \(O(2)\) symmetry and its applications in hydrodynamics ⋮ Geometric phases, reduction and Lie-Poisson structure for the resonant three-wave interaction. ⋮ Equivariant N-Dof Hamiltonians Via Generalized Normal Forms ⋮ Branches of stable three-tori using Hamiltonian methods in hopf bifurcation on a rhombic lattice ⋮ On perturbed oscillators in 1-1-1 resonance: The case of axially symmetric cubic potentials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reduction of the semisimple \(1:1\) resonance
- On the three-dimensional lunar problem and other perturbation problems of the Kepler problem
- On averaging, reduction, and symmetry in Hamiltonian systems
- On resonant non linearly coupled oscillators with two equal frequencies
- On resonant classical Hamiltonians with two equal frequencies
- A unifying theory in determining periodic families for Hamiltonian systems at resonance
- Convergent series expansions for quasi-periodic motions
- On the applicability of the third integral of motion
- Non-integrability of the 1:1:2–resonance
- Bifurcations in the slow-fluctuation technique
- Integration of near-resonant systems in slow-fluctuation approximation
- Stability of constant-amplitude motions in slow-fluctuation approximation
- Root parities and phase behavior in the slow-fluctuation technique
- Averaging methods in nonlinear dynamical systems
This page was built for publication: On resonant classical Hamiltonians with n frequencies