Attraction

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

Abstract

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
$$\dot x = Ax + \in f\left( {t,x} \right),x\left( 0 \right) = {x_0}$$

Keywords

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