Extension of the domain of applicability of the integral stability criterion (extremum property) in synchronization problems

The method of direct separation of motions is used to justify an extended formulation of the integral stability criterion which enables both “simple” and “non-simple” cases of problems of the synchronization of objects with almost uniform rotations to be considered. It is shown, by means of examples...

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Bibliographic Details
Published in:Journal of applied mathematics and mechanics 2004, Vol.68 (6), p.839-846
Main Authors: Blekhman, I.I., Yaroshevich, N.P.
Format: Article
Language:English
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Summary:The method of direct separation of motions is used to justify an extended formulation of the integral stability criterion which enables both “simple” and “non-simple” cases of problems of the synchronization of objects with almost uniform rotations to be considered. It is shown, by means of examples, that the results found previously by Poincaré's small parameter method and by direct separation of motions, which require laborious computations, can be obtained much more simply by using an extended formulation of the integral stability criterion.
ISSN:0021-8928
0021-8928
DOI:10.1016/j.jappmathmech.2004.11.005