Symmetries and Convergence of Normalizing Transformations
نویسندگان
چکیده
منابع مشابه
On the Convergence of Poincar E Birkhoff Normalizing Transformations in the Presence of Symmetries
We discuss the problem of the convergence of the series of coordinates transformations which take a given vector eld (or dynamical system) into Poincar e-Dulac normal form { or, in the case of Hamiltonian problems, into Birkhoo-Gustavson normal form. We show that the presence of linear or nonlinear Lie point-symmetries can guarantee, under suitable assumptions, the convergence of these normaliz...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1994
ISSN: 0022-247X
DOI: 10.1006/jmaa.1994.1163