• Jan A. Sanders
  • Ferdinand Verhulst
Part of the Applied Mathematical Sciences book series (AMS, volume 59)


Solutions of differential equations can be attracting to a particular solution and this phenomenon may assume many different forms. Suppose for instance we consider an initial value problem in R n of the form
$$\dot x = Ax + \in f\left( {t,x} \right),x\left( 0 \right) = {x_0}$$


Periodic Solution Negative Real Part High Order Approximation Average Vector Field Average Theorem 
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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • Jan A. Sanders
    • 1
  • Ferdinand Verhulst
    • 2
  1. 1.Department of Mathematics and Computer ScienceFree UniversityAmsterdamThe Netherlands
  2. 2.Mathematical InstituteState University of UtrechtUtrechtThe Netherlands

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