A connection between the Henon-Heiles system and the Garnier system

DOI10.1007/BF01017070zbMath0850.35104MaRDI QIDQ1918862

Giorgio Tondo

Publication date: 3 September 1996

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

zbMATH Keywords

stationary flowsGarnier systemHenon-Heiles systemrestricted flowsGelfand-Dickey polynomialsKdV Poisson pencilreductions of soliton equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

The diagonal two-point correlations of the Ising model on the anisotropic triangular lattice and Garnier systems

Cites Work

• The Hénon-Heiles system revisited
• How to construct finite-dimensional bi-Hamiltonian systems from soliton equations: Jacobi integrable potentials
• Integrability of One Particle in a Perturbed Central Quartic Potential
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