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On the motion of a heavy rigid body in an ideal fluid with circulation | | A. V. Borisov
; I. S. Mamaev
; | | Date: |
25 Mar 2005 | | Subject: | Exactly Solvable and Integrable Systems; Chaotic Dynamics | nlin.SI nlin.CD | | Abstract: | Chaplygin’s equations describing the planar motion of a rigid body in an unbounded volume of an ideal fluid involved in a circular flow around the body are considered. Hamiltonian structures, new integrable cases, and partial solutions are revealed, and their stability is examined. The problems of non-integrability of the equations of motion because of a chaotic behavior of the system are discussed. | | Source: | arXiv, nlin.SI/0503056 | | Services: | Forum | Review | PDF | Favorites | |
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