Averaging over Spatial Variables: Systems with Slowly Varying Frequency and Passage through Resonance

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


In our analysis of slowly varying systems we have developed up till now a theory for equations in the standard form
$$\dot x = \in f\left( {t,x} \right).$$


Equilibrium Solution Resonance Domain High Order Approximation Perturbation Equation Regular Case 
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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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