94-307 Cicogna G., Gaeta G.
Approximate symmetries in dynamical systems (53K, TeX) Oct 7, 94
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Abstract. The knowledge of exact symmetries of a differential problem allows to reduce it, and sometimes to completely solve it; it also allows to obtain exact solutions. If we are looking for approximate rather than exact solutions, then approximate symmetries are as good as exact ones; moreover, they can be determined perturbatively. In this paper we introduce and study approximate symmetries, together with some applications to the determination of approximate solutions of dynamical systems.

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