• Richard H. Rand
  • Dieter Armbruster
Part of the Applied Mathematical Sciences book series (AMS, volume 65)


Like normal form transformations, averaging uses a near identity coordinate transformation to simplify a given system of ordinary differential equations. In contrast to our treatment of normal forms, where we applied the method to strictly autonomous systems, we shall apply averaging to nonautonomous systems. The coordinate transformations will be chosen so as to transform the nonautonomous system into an autonomous one called the averaged system.


Order Average SUBHARMONIC Resonance Nonautonomous System Duffing Equation Time Dependent Component 
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Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • Richard H. Rand
    • 1
  • Dieter Armbruster
    • 2
  1. 1.Department of Theoretical & Applied MechanicsCornell UniversityIthacaUSA
  2. 2.Institut für Informations-verarbeitungUniversität Tübingen74 Tübingen 1Germany

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