Advertisement

Canonical Perturbation Theory

  • A. J. Lichtenberg
  • M. A. Lieberman
Part of the Applied Mathematical Sciences book series (AMS, volume 38)

Abstract

A basic method of solving nonlinear dynamical problems is by perturbation from known, integrable solutions. Given these, we seek “the integrable solutions” to a “nearby” system by expanding in the small parameter ϵ by which the two systems differ. For example, if the nearby system is slightly nonlinear, then the linearized motion may be obtained directly, and the nonlinear perturbation found as a series solution.

Keywords

Perturbation Theory Periodic Solution Primary Resonance Asymptotic Series Adiabatic Invariant 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • A. J. Lichtenberg
    • 1
  • M. A. Lieberman
    • 1
  1. 1.Department of Electrical Engineering and Computer SciencesUniversity of CaliforniaBerkeleyUSA

Personalised recommendations