Title :
An example of indeterminacy in classical dynamics
Author :
Bhat, Sanjay P. ; Bernstein, Dennis S.
Author_Institution :
Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA
Abstract :
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 non-unique solutions and is due to a failure of the Lipschitz condition at the corresponding points in the phase space of the equation of motion
Keywords :
classical mechanics; dynamics; Lipschitz condition; classical dynamics; equation of motion; gravity; indeterminacy; initial conditions; nonsmooth constraint; particle; phase space; Aerodynamics; Equations; Gravity; Mechanical energy; Mechanical systems; Mechanical variables measurement; Motion measurement; Physics; Position measurement; Potential well;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.612112
