Example of indeterminacy in classical dynamics

被引：6
|
作者：
Bhat, SP
Bernstein, DS
机构：
[1] Department of Aerospace Engineering, University of Michigan, Ann Arbor
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 1997年 / 36卷 / 02期
关键词：
Phase Portrait; Finite Time; Unstable Manifold; Heteroclinic Orbit; Finite Amount;
D O I：
10.1007/BF02435747
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The case of a particle moving along a nonsmooth constraint under the action of uniform gravity is presented as an example of indeterminacy in a classical situation. The indeterminacy arises from certain initial conditions having nonunique solutions and is due to the failure of the Lipschitz condition at the corresponding points in the phase space of the equation of motion.
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页码：545 / 550
页数：6
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