01-18 Giuseppe Gaeta
Poincare' normal forms and simple compact Lie groups (52K, LaTeX) Jan 11, 01
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We classify the possible behaviour of Poincar\'e-Dulac normal forms for dynamical systems in $R^n$ with nonvanishing linear part and which are equivariant under (the fundamental representation of) all the simple compact Lie algebras and thus the corresponding simple compact Lie groups. The ``renormalized forms'' of these systems is also discussed; in this way we are able to simplify the classification and moreover to analyze systems with zero linear part. We also briefly discuss the convergence of the normalizing transformations. [This is an updated version of preprint MP-ARC 99-317]

Files: 01-18.src( 01-18.keywords , Clg2.tex )