Example of indeterminacy in classical dynamics

被引:0
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作者
Sanjay P. Bhat
Dennis S. Bernstein
机构
[1] University of Michigan,Department of Aerospace Engineering
关键词
Phase Portrait; Finite Time; Unstable Manifold; Heteroclinic Orbit; Finite Amount;
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摘要
The case of a particle moving along a nonsmooth constraint under the action of uniform gravity is presented as an example of indeterminancy 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:5
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