Bi-quasi-Hamiltonian systems

DOI10.1063/1.1462856zbMath1059.37038OpenAlexW1973300788MaRDI QIDQ4832613

Mike Crampin, Willy Sarlet

Publication date: 14 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1462856

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (7)

Quasi-Hamiltonian structure and Hojman construction ⋮ Algebraic integrability conditions for Killing tensors on constant sectional curvature manifolds ⋮ Quasi-bi-Hamiltonian structures, complex functions and superintegrability: the Tremblay–Turbiner–Winternitz (TTW) and the Post–Winternitz (PW) systems ⋮ Quasi-bi-Hamiltonian structures of the 2-dimensional Kepler problem ⋮ Non-Hamiltonian systems separable by Hamilton-Jacobi method ⋮ Quasi-bi-Hamiltonian structures and superintegrability: study of a Kepler-related family of systems endowed with generalized Runge-Lenz integrals of motion ⋮ Projective dynamics and first integrals

Cites Work

• Lectures on the geometry of Poisson manifolds
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