perturbation

Canonical Perturbation Theories Degenerate Systems and Resonance

  • The Hamilton–Jacobi Theory
    • Canonical Pertubation Equations
    • Hamilton’s Principle
      • Maupertuis’ Least Action Principle
      • Helmholtz Invariant
  • Angle–Action Variables. Separable Systems
  • Classical Perturbation Theories
  • Resonance
  • Lie Mappings
  • Lie Series Perturbation Theory
  • Non-Singular Canonical Variables
  • Lie Series Theory for Resonant Systems
  • Single Resonance near a Singularity
  • Nonlinear Oscillators
  • A – Bohlin Theory
  • B – The Simple Pendulum
  • C – Andoyer Hamiltonian with k = 1
  • D – Andoyer Hamiltonians with k ≥ 2