A note on the Hénon–Heiles problem

DOI10.1063/1.524330zbMath0457.70024OpenAlexW1980778429MaRDI QIDQ3907150

Peter G. L. Leach

Publication date: 1980

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524330

zbMATH Keywords

Hamiltonians of Henon-Heiles typethird degree anharmonicitytime-independent invariant series

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Galactic and stellar dynamics (85A05) Hamiltonian and Lagrangian mechanics (70H99)

Related Items

Invariants for the time-dependent harmonic oscillator ⋮ Quadratic Hamiltonians: The four classes of quadratic invariants, their interrelations and symmetries

Cites Work

• Higher symmetry of certain classical quadratic Hamiltonians
• On the asymptotic approximations of the solutions of a system of two non-linearly coupled harmonic oscillators
• Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic
• A Class of Triple-Diagonal Matrices for Test Purposes
• The Fundamental Theorem on Quadratic First Integrals