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Stability of steady rotations in the nonholonomic Routh problem

Stability of steady rotations in the nonholonomic Routh problem We have discovered a new first integral in the problem of motion of a dynamically symmetric ball, subject to gravity, on the surface of a paraboloid. Using this integral, we have obtained conditions for stability (in the Lyapunov sense) of steady rotations of the ball at the upmost, downmost and saddle point. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Regular and Chaotic Dynamics Springer Journals

Stability of steady rotations in the nonholonomic Routh problem

Regular and Chaotic Dynamics , Volume 13 (4) – Aug 31, 2008

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References (19)

Publisher
Springer Journals
Copyright
Copyright © 2008 by MAIK Nauka
Subject
Mathematics; Dynamical Systems and Ergodic Theory
ISSN
1560-3547
eISSN
1468-4845
DOI
10.1134/S1560354708040011
Publisher site
See Article on Publisher Site

Abstract

We have discovered a new first integral in the problem of motion of a dynamically symmetric ball, subject to gravity, on the surface of a paraboloid. Using this integral, we have obtained conditions for stability (in the Lyapunov sense) of steady rotations of the ball at the upmost, downmost and saddle point.

Journal

Regular and Chaotic DynamicsSpringer Journals

Published: Aug 31, 2008

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