Hamiltonian oscillators in \(1\)-\(1\)-\(1\) resonance: Normalization and integrability
From MaRDI portal
Publication:1974564
DOI10.1007/s003329910007zbMath0974.34034OpenAlexW2135331293MaRDI QIDQ1974564
Patricia Yanguas, Jesús F. Palacián, Sebastián Ferrer
Publication date: 7 May 2000
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s003329910007
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)
Related Items
Singular reduction of resonant Hamiltonians, Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance, Bifurcations of the Hamiltonian fourfold 1:1 resonance with toroidal symmetry, Poisson and symplectic reductions of 4–DOF isotropic oscillators. The van der Waals system as benchmark, Periodic Solutions and KAM Tori in a Triaxial Potential, A Lagrangian fibration of the isotropic 3-dimensional harmonic oscillator with monodromy, Hamiltonian fourfold \(1:1\) resonance with two rotational symmetries, On detuned 1:1:3 Hamiltonian resonance with cases of symmetric cubic and quartic potentials, Perturbed ion traps: A generalization of the three-dimensional Hénon–Heiles problem, On the detuned 2:4 resonance, All relative equilibria of Hamiltonian in detuned 1:2:3 resonance, Equivariant N-Dof Hamiltonians Via Generalized Normal Forms, Periodic solutions, KAM tori and bifurcations in a cosmology-inspired potential, Algebraic methods for determining Hamiltonian Hopf bifurcations in three-degree-of-freedom systems, On perturbed oscillators in 1-1-1 resonance: The case of axially symmetric cubic potentials, Oscillators in resonance \(p\):\(q\):\(r\)
