The nonabelian Liouville-Arnold integrability by quadratures problem: a symplectic approach

Abstract

A symplectic theory approach is devised for solving the problem of algebraic-analytical construction of integral submanifold imbeddings for integrable (via the nonabelian Liouville-Arnold theorem) Hamiltonian systems on canonically symplectic phase spaces.

References in corpus (2)

• Quasi-point separation of variables for the Henon-Heiles system and a system with quartic potential
• The integrability of Lie-invariant geometric objects generated by ideals in the Grassmann algebra

Cited by in corpus (2)

• Geometry of Lie integrability by quadratures
• Lie integrability by quadratures for symplectic, cosymplectic, contact and cocontact Hamiltonian systems