The Hojman Construction and Hamiltonization of Nonholonomic Systems

Symmetry Integrability and Geometry-Methods and Applications

article

Ivan A. Bizyaev¹  Alexey V. Borisov²  Ivan S. Mamaev¹ 

[1] Udmurt State University;St. Petersburg State University

关键词: Hamiltonization;    Poisson bracket;    Casimir functions;    invariant measure;    nonholonomic hinge;    Suslov problem;    Chaplygin sleigh;   

DOI  :  10.3842/SIGMA.2016.012

来源: National Academy of Science of Ukraine

【 摘 要 】

In this paper, using the Hojman construction, we give examples of various Poisson brackets which differ from those which are usually analyzed in Hamiltonian mechanics. They possess a nonmaximal rank, and in the general case an invariant measure and Casimir functions can be globally absent for them.

【 授权许可】

Unknown