Separation of variables for the generalized Henon–Heiles system and system with quartic potential

DOI10.1088/1751-8113/44/25/255202zbMath1293.37028arXiv1012.0468OpenAlexW3106059791MaRDI QIDQ3015358

Yu. A. Grigor'ev, Andreĭ Vladimirovich Tsyganov

Publication date: 12 July 2011

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

Full work available at URL: https://arxiv.org/abs/1012.0468

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items

Two integrable systems with integrals of motion of degree four ⋮ Killing tensors with nonvanishing Haantjes torsion and integrable systems ⋮ Two-dimensional integrable systems with position-dependent mass via complex holomorphic functions ⋮ On bi-Integrable Natural Hamiltonian Systems on Riemannian Manifolds ⋮ On one integrable system with a cubic first integral ⋮ Simultaneous separation for the Neumann and Chaplygin systems ⋮ Hamiltonization and separation of variables for a Chaplygin ball on a rotating plane