Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/575

 Title: On the KAM - Theory Conditions for the Kirchhoff Top Authors: Christov, Ognyan Keywords: KAM-TheoryKirchhoff TopAbelian Integrals Issue Date: 1997 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 23, No 2, (1997), 113p-124p Abstract: In this paper the classical Kirchhoff case of motion of a rigid body in an infinite ideal fluid is considered. Then for the corresponding Hamiltonian system on the zero integral level, the KAM theory conditions are checked. In contrast to the known similar results, there exists a curve in the bifurcation diagram along which the Kolmogorov’s condition vanishes for certain values of the parameters. Description: * Partially supported by Grant MM523/95 with Ministry of Science and Technologies. URI: http://hdl.handle.net/10525/575 ISSN: 1310-6600 Appears in Collections: Volume 23 Number 2

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