Lyapunov stability for a generalized Hénon-Heiles system in a rotating reference frame

DOI10.1016/j.amc.2014.12.072zbMath1338.37068OpenAlexW2028702652MaRDI QIDQ298813

Patricia Yanguas, Victor Lanchares, J. Pablo Salas, Manuel Iñarrea, Ana I. Pascual, Jesús F. Palacián

Publication date: 21 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.12.072

zbMATH Keywords

Lyapunov stabilityresonancesgeneralized Hénon-Heiles system

Mathematics Subject Classification ID

Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (5)

Coriolis coupling in a Hénon-Heiles system ⋮ Effects of a soft-core Coulomb potential on the dynamics of a hydrogen atom near a metal surface ⋮ Reeb's theorem and periodic orbits for a rotating Hénon-Heiles potential ⋮ A new method of dynamical stability, i.e. fractional generalized Hamiltonian method, and its applications ⋮ Dynamics and periodic solutions in cubic polynomial Hamiltonian systems

Cites Work

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• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
• Lectures on celestial mechanics. Transl. from the German by C. I. Kalme.
• Two important numbers in the Hénon-Heiles dynamics
• On the stability of equilibria in two-degrees-of- freedom Hamiltonian systems under resonances
• TO ESCAPE OR NOT TO ESCAPE, THAT IS THE QUESTION — PERTURBING THE HÉNON–HEILES HAMILTONIAN
• Chaos around a Hénon-Heiles-Inspired Exact Perturbation of a Black Hole
• Stability of equilibria and fixed points of conservative systems
• On the Stability of Periodic Orbits for Nonlinear Oscillator Systems in Regions Exhibiting Stochastic Behavior
• Perturbed ion traps: A generalization of the three-dimensional Hénon–Heiles problem

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