Methods of Averaging

  • Frank C. Hoppensteadt
Part of the Applied Mathematical Sciences book series (AMS, volume 94)


Regular perturbation methods are based on Taylor’s formula and on implicit function theorems. However, there are many problems to which Taylor’s formula cannot be applied directly, in which case perturbation methods based on multiple time or space scales can often be used, sometimes even for chaotic systems.


Rotation Number Rotation Vector Invariant Torus Small Divisor Quasiperiodic Solution 
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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Frank C. Hoppensteadt
    • 1
  1. 1.College of Natural SciencesMichigan State UniversityEast LansingUSA

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