Equivariant dynamical systems
Author:
Abstract
The basic properties of vector fields and diffeomorphisms invariant under the action of a compact Lie group are presented. A Kupka-Smale density theorem for equivariant dynamical systems and an existence theorem for equivariant Morse-Smale systems on an arbitrary compact G-manifold are proved.
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Link
http://www.ams.org/tran/1980-259-01/S0002-9947-1980-0561832-4/S0002-9947-1980-0561832-4.pdf
Reference28 articles.
1. R. Abraham and J. Marsden, Foundations of mechanics, Benjamin, New York, 1971.
2. General position of equivariant maps;Bierstone, Edward;Trans. Amer. Math. Soc.,1977
3. Generic equivariant maps;Bierstone, Edward,1977
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