Bifurcation sets of the motion of a heavy rigid body around a fixed point in Goryatchev-Tchaplygin case

被引：0

作者：

Ouzzani-TH, A ^{[1
]}

Dekkaki, S ^{[1
]}

Kharbach, J ^{[1
]}

Ouzzani-Jamil, M ^{[1
]}

机构：

[1] Fac Sci, Lab Phys Solide, Dhar Mehraz Fes, Morocco

来源：

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS | 2000年 / 115卷 / 10期

关键词：

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the topology of Hamiltonian flows is described on the real phase space for the Goryatchev-Tchaplygin top. By making use of Fomenko's theory of surgery on Liouville tori, we give a complete description of the generic bifurcations of the common level sets of the first integrals. We give also a numerical investigation of these bifurcations. Explicit periodic solutions for singular common-level sets of the first integrals were determined.

引用

页码：1175 / 1193

页数：19

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