The Hénon and Heiles Problem in Three Dimensions.

DOI10.1142/S0218127498000954zbMath0989.37045OpenAlexW3113193629MaRDI QIDQ4936215

Martin Lara, A. Viartola, Jesús F. Palacián, Sebastián Ferrer, Juan Félix San-Juan

Publication date: 24 January 2000

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127498000954

zbMATH Keywords

relative equilibriaisotropic harmonic oscillatorscusp bifurcationscentre-saddle bifurcationHénon and Heilessystem

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85)

Related Items

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 ⋮ Hamiltonian fourfold \(1:1\) resonance with two rotational symmetries ⋮ The Hénon and Heiles Problem in Three Dimensions. ⋮ 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 \(p\):\(q\):\(r\)

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