Normal form of real differential equations |
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Authors: | A D Bryuno |
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Institution: | 1. Institute of Applied Mathematics, Academy of Sciences of the USSR, USSR
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Abstract: | In a neighborhood of a fixed point we consider an autonomous analytic system of ordinary differential equations. We establish the existence of a normalizing transformation for which the normal form retains the properties of the original system such as reality and invariance with respect to a linear change of variables. For real systems we consider the problem of existence of an analytic transformation into normal form and the problem of existence of a finitely smooth transformation into a linear system. |
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