On the non-integrability of quartic potentials

DOI10.5802/afst.878zbMath0907.58019OpenAlexW2318131476MaRDI QIDQ1383421

Olivier Vivolo

Publication date: 15 February 1999

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1997_6_6_3_535_0

zbMATH Keywords

Hénon-Heiles systemnon-integrability of Hamiltonian systemsZiglin theorem

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Cites Work

• Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
• Non-integrability of Hénon-Heiles system and a theorem of Ziglin
• Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes
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