Families of Two-dimensional Vector Fields

Part of the Modern Birkhäuser Classics book series (MBC)


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.


Periodic Orbit Singular Point Phase Portrait Bifurcation Theory Polynomial Vector 
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Copyright information

© Springer Basel 1998

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of BourgogneDijon CedexFrance

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