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Perturbation Theory and Normal Forms

  • Kenneth R. Meyer
  • Glen R. Hall
Part of the Applied Mathematical Sciences book series (AMS, volume 90)

Abstract

Perturbation theory is one of the few ways that one can bridge the gap between the behavior of a real nonlinear system and its linear approximation. Because the theory of linear systems is so much simpler, investigators are tempted to fit the problem at hand to a linear model without proper justification. Such a linear model may lead to quantitative as well as qualitative errors. On the other hand, so little is known about the general behavior of a nonlinear system that some sort of approximation has to be made.

Keywords

Normal Form Hamiltonian System Homogeneous Polynomial Remainder Function Symplectic Transformation 
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 1992

Authors and Affiliations

  • Kenneth R. Meyer
    • 1
  • Glen R. Hall
    • 2
  1. 1.Department of Mathematical SciencesUniversity of CincinnatiCincinnatiUSA
  2. 2.Mathematics DepartmentBoston UniversityBostonUSA

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