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Perturbation Theory

  • Bruno Cordani
Chapter
Part of the Progress in Mathematical Physics book series (PMP, volume 64)

Abstract

Given the Hamiltonian H 0 of a completely integrable system, the perturbed problem is described by the Hamiltonian H = H 0 + εHp, where Hp is a function whose numerical value is of the same order of H 0, and ε << 1. The perturbed problem thus differs slightly from the unperturbed one, but unfortunately the same is not true for the solution: a small perturbation can give rise to secular effects, i.e., to a slow but progressive wandering from the unperturbed, and known for infinite time, solution.

Keywords

Unstable Manifold Canonical Transformation Frequency Vector Homological Equation Homoclinic Point 
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 2013

Authors and Affiliations

  1. 1.MilanoItaly

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