Averaging and Perturbation from a Geometric Viewpoint

  • John Guckenheimer
  • Philip Holmes
Part of the Applied Mathematical Sciences book series (AMS, volume 42)


In this chapter we describe some classical methods of analysis which are particularly applicable to problems in nonlinear oscillations. While these methods might be familiar to the reader who has studied nonlinear mechanics and perturbation theory, the present geometrical approach and the stress on obtaining approximations to Poincaré maps will probably be less familiar.


Periodic Orbit Hamiltonian System Phase Portrait Unstable Manifold Homoclinic Orbit 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1983

Authors and Affiliations

  • John Guckenheimer
    • 1
  • Philip Holmes
    • 2
  1. 1.Department of MathematicsCornell UniversityIthacaUSA
  2. 2.Department of Mechanical and Aerospace Engineering and Program in Applied and Computational MathematicsPrinceton UniversityPrincetonUSA

Personalised recommendations