Geometrical Aspects of the Hamiltonization Problem of Dynamical Systems

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Avendaño-Camacho, Misael, García-Mendoza, Claudio César, Ruíz-Pantaleón, José Crispín, Velasco-Barreras, Eduardo
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211630
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Geometrical Aspects of the Hamiltonization Problem of Dynamical Systems. Misael Avendaño-Camacho, Claudio César García-Mendoza, José Crispín Ruíz-Pantaleón and Eduardo Velasco-Barreras. SIGMA 18 (2022), 038, 29 pages

Some positive answers to the problem of endowing a dynamical system with a Hamiltonian formulation are presented within the class of Poisson structures in a geometric framework. We address this problem on orientable manifolds and by using decomposable Poisson structures. In the first case, the exist...