Canonical Perturbation Theory
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.
KeywordsPerturbation Theory Periodic Solution Primary Resonance Asymptotic Series Adiabatic Invariant
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