A cohomological obstruction for global quasi-bi-Hamiltonian fields

DOI10.1016/j.physleta.2011.01.013zbMath1242.70032OpenAlexW2088260906MaRDI QIDQ432856

Joseph Rakotondralambo

Publication date: 4 July 2012

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.01.013

zbMATH Keywords

bi-Hamiltonian systemsquasi-bi-Hamiltonian systemsintegrable 1-forms

Mathematics Subject Classification ID

Hamilton's equations (70H05) Exterior differential systems (Cartan theory) (58A15) de Rham cohomology and algebraic geometry (14F40)

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

Cites Work

• On a class of dynamical systems both quasi-bi-Hamiltonian and bi-Hamiltonian.
• A simple model of the integrable Hamiltonian equation
• Quasi-bi-Hamiltonian systems and separability
• Two degrees of freedom quasi-bi-Hamiltonian systems