The Hénon and Heiles Problem in Three Dimensions.
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Publication:4936216
DOI10.1142/S0218127498000942zbMath0933.37060MaRDI QIDQ4936216
Martin Lara, A. Viartola, Juan Félix San-Juan, Sebastián Ferrer, Jesús F. Palacián
Publication date: 24 January 2000
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
relative equilibriaperiodic orbitsPoincaré surfacessymmetry of the HamiltonianHamiltonian with two degrees of freedom
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Periodic orbits of perturbed non-axially symmetric potentials in \(1:1:1\) and \(1:1:2\) resonances, Escapes in Hamiltonian systems with multiple exit channels. II, Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance, Bifurcations of the Hamiltonian fourfold 1:1 resonance with toroidal symmetry, On the integrability of twofold 1 : 2 Hamiltonian resonance, Hamiltonian fourfold \(1:1\) resonance with two rotational symmetries, The Hénon and Heiles Problem in Three Dimensions., Extended Lissajous variables for oscillators in resonance., The reversible umbilic bifurcation, On perturbed oscillators in 1-1-1 resonance: The case of axially symmetric cubic potentials, Escapes in Hamiltonian systems with multiple exit channels. I, Oscillators in resonance \(p\):\(q\):\(r\)
Cites Work
- On averaging, reduction, and symmetry in Hamiltonian systems
- The Lissajous transformation. I: Basics
- On numerical continuation of families of periodic orbits in a parametric potential
- Numerical continuation of families of frozen orbits in the zonal problem of artificial satellite theory
- On the Hénon and Heiles system in three dimensions: the role of the axial symmetry.
- Motion in the core of a triaxial potential
- The elimination of the parallax in satellite theory
- The Hénon and Heiles Problem in Three Dimensions.
- Three-Dimensional Isotropic Harmonic Oscillator and SU3
- Regularization of kepler's problem and the averaging method on a manifold
