Lie group symmetries and invariants of the Hénon–Heiles equations

DOI10.1063/1.528706zbMath0705.34002OpenAlexW2022403417WikidataQ115331764 ScholiaQ115331764MaRDI QIDQ3485189

Barbara Abraham-Shrauner

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528706

zbMATH Keywords

Lie group symmetriescoupled nonlinear first-order differential equationsHénon-Heiles equations

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items

On certain types of point symmetries of systems of second-order ordinary differential equations, First integrals and symmetries of time-dependent Hamiltonian systems

Cites Work

• A theory of exact and approximate configurational invariants
• Polynomial constants of motion in flat space
• An alternate approach to finding and using the Lie group of the Vlasov equation
• Lie transformation group solutions of the nonlinear one-dimensional Vlasov equation
• When is a Hamiltonian system separable?
• A further note on the Hénon–Heiles problem
• Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes
• Symmetries of differential equations