Quasi-bi-Hamiltonian systems: why the Pfaffian case?

DOI10.1016/j.physleta.2006.07.019zbMath1236.37032OpenAlexW2037294871MaRDI QIDQ942590

Hassan Boualem, Robert Brouzet, Joseph Rakotondralambo

Publication date: 5 September 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.07.019

zbMATH Keywords

bi-Hamiltonian systemsquasi-bi-Hamiltonian systems

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items

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, Quasi-bi-Hamiltonian structures and superintegrability: study of a Kepler-related family of systems endowed with generalized Runge-Lenz integrals of motion

Cites Work

• Separation of variables for bi-Hamiltonian systems
• On a class of dynamical systems both quasi-bi-Hamiltonian and bi-Hamiltonian.
• Bihamiltonian structures and Stäckel separability
• A simple model of the integrable Hamiltonian equation
• Quasi-bi-Hamiltonian systems and separability
• Non-Pfaffian quasi-bi-Hamiltonian systems with two degrees of freedom
• On separability of bi-Hamiltonian chain with degenerated Poisson structures
• Two degrees of freedom quasi-bi-Hamiltonian systems