Two important numbers in the Hénon-Heiles dynamics

DOI10.1016/S0375-9601(98)00101-7zbMath0949.37039OpenAlexW1987280511WikidataQ121450417 ScholiaQ121450417MaRDI QIDQ1966661

J. C. Bastos de Figueiredo, C. Grotta-Ragazzo, Coraci Pereira Malta

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(98)00101-7

zbMATH Keywords

Hénon-Heiles systemsaddle-center equilibriaplasma systems

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Hamilton's equations (70H05)

Related Items (5)

Lyapunov stability for a generalized Hénon-Heiles system in a rotating reference frame ⋮ On the dimensionality of the phase-space survivors in the Banerjea-Taylor map ⋮ Symbolic dynamics for the Hénon-Heiles Hamiltonian on the critical level ⋮ The general solution of the Hénon-Heiles problem ⋮ Periodic orbits of a generalized Hénon–Heiles system

Cites Work

• Transversality of the invariant manifolds associated to the Lyapunov family of periodic orbits near \(L_ 2\) in the restricted three-body problem
• Stability transitions for periodic orbits in Hamiltonian systems
• Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle- center
• Nonintegrability of some Hamiltonian systems, scattering and analytic continuation
• On the stability of double homoclinic loops
• On the nonintegrability of the Stormer problem
• Irregular dynamics and homoclinic orbits to Hamiltonian saddle centers
• CHAOTIC OSCILLATIONS OF A BUCKLED BEAM

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