Rigid body dynamics on the Poisson torus

被引：0
|
作者：
Richter, Peter H. [1 ]
机构：
[1] Univ Bremen, Inst Theoret Phys, D-28359 Bremen, Germany
来源：
LET'S FACE CHAOS THROUGH NONLINEAR DYNAMICS | 2008年 / 1076卷
关键词：
rigid bodies; Cardan suspension; Poisson torus; phase space structure; bifurcations; Poincare section;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The theory of rigid body motion with emphasis on the modifications introduced by a Cardan suspension is outlined. The configuration space is no longer SO(3) but a 3-torus; the equivalent of the Poisson sphere, after separation of an angular variable, is a Poisson torus. Iso-energy surfaces and their bifurcations are discussed, A universal Poincare section method is proposed.
引用
收藏
页码：175 / 184
页数：10
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