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Families of Two-dimensional Vector Fields

Chapter
Part of the Modern Birkhäuser Classics book series (MBC)

Abstract

In this section we will consider individual vector fields. They can be considered as 0-parameter families. We assume these vector fields to be of class at least C 1. This will be sufficient to ensure the existence and uniqueness of the flow φ(t, x) (t is time, x S, the phase space) and the qualitative properties which we mention below.

Keywords

Periodic Orbit Singular Point Phase Portrait Bifurcation Theory Polynomial Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel 1998

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of BourgogneDijon CedexFrance

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