A general setting for reduction of dynamical systems
- 1 May 1979
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 20 (5) , 856-860
- https://doi.org/10.1063/1.524158
Abstract
The reduction of dynamical systems is discussed in terms of projecting vector fields with respect to foliations of the manifold on which the dynamics take place. Examples of established reduction procedures are presented and are shown to be special cases of the general procedure described in this paper. Instances of other types of analysis of dynamical systems related to our projection procedure are briefly discussed.Keywords
This publication has 5 references indexed in Scilit:
- Reduction of symplectic manifolds with symmetryPublished by Elsevier ,2002
- Symmetries, first integrals and splittability of dynamical systemsLettere al Nuovo Cimento (1971-1985), 1978
- Topology and mechanics. IInventiones Mathematicae, 1970
- Topology and mechanics. IIInventiones Mathematicae, 1970
- Quelques propriétés globales des variétés différentiablesCommentarii Mathematici Helvetici, 1954