Mathematics of Complexity and Dynamical Systems

2011 Edition
| Editors: Robert A. Meyers (Editor-in-Chief)

Perturbation Analysis of Parametric Resonance

  • Ferdinand Verhulst
Reference work entry

Article Outline


Definition of the Subject


Perturbation Techniques

Parametric Excitation of Linear Systems

Nonlinear Parametric Excitation


Future Directions




Periodic Solution Normal Form Trivial Solution Parametric Resonance Parametric Excitation 
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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A number of improvements and clarifications were suggested by the editor, Giuseppe Gaeta. Additional references were obtained from Henk Broer and Fadi Dohnal.


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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • Ferdinand Verhulst
    • 1
  1. 1.Mathematisch InstituutUniversity of UtrechtUtrechtThe Netherlands