Explicit integration of a generic Hénon-Heiles system with quartic potential

DOI10.1080/14029251.2017.1341697zbMath1420.37042OpenAlexW2710520833MaRDI QIDQ5231074

Nicola Sottocornola

Publication date: 29 August 2019

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

Full work available at URL: https://doi.org/10.1080/14029251.2017.1341697

zbMATH Keywords

integrable systemsHénon-Heiles systemsseparation of coordinates

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (5)

The physics and applications of strongly coupled Coulomb systems (plasmas) levitated in electrodynamic traps ⋮ Direct construction of a bi-Hamiltonian structure for cubic Hénon-Heiles systems ⋮ An application of the Kowalewski conditions ⋮ Separation coordinates in Hénon-Heiles systems ⋮ Classical and quantum integrability of the three-dimensional generalized trapped ion Hamiltonian

Cites Work

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• Generalized separability for a Hamiltonian with nonseparable quartic potential
• Integrable quartic potentials and coupled KdV equations
• Separation coordinates in Hénon-Heiles systems
• The Kowalevski's top and the method of syzygies.
• A generalized Henon–Heiles system and related integrable Newton equations
• Integrability of One Particle in a Perturbed Central Quartic Potential
• Integration of a generalized Hénon–Heiles Hamiltonian
• Explicit integration of the Hénon-Heiles Hamiltonians 1

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