Introduction to perturbation theory

  • V. I. Arnold
Part of the Graduate Texts in Mathematics book series (GTM, volume 60)


Perturbation theory consists of a very useful collection of methods for finding approximate solutions of “perturbed” problems which are close to completely solvable “non-perturbed” problems. These methods can be easily justified if we are investigating motion over a small interval of time. Relatively little is known about how far we can trust the conclusions of perturbation theory in investigating motion over large or infinite intervals of time.


Perturbation Theory Action Variable Hamiltonian Function Canonical Transformation Phase Trajectory 


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Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • V. I. Arnold
    • 1
  1. 1.Department of MathematicsUniversity of MoscowMoscowUSSR

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