Normal form of real differential equations

  • A. D. Bryuno
Article
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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.

Keywords

Differential Equation Linear System Ordinary Differential Equation Normal Form Real System 
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Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • A. D. Bryuno
    • 1
  1. 1.Institute of Applied MathematicsAcademy of Sciences of the USSRUSSR

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