Perturbation Theory and Normal Forms
Perturbation theory is one of the few ways that one can bridge the gap between the behavior of a real nonlinear system and its linear approximation. Because the theory of linear systems is so much simpler, investigators are tempted to fit the problem at hand to a linear model without proper justification. Such a linear model may lead to quantitative as well as qualitative errors. On the other hand, so little is known about the general behavior of a nonlinear system that some sort of approximation has to be made.
KeywordsNormal Form Hamiltonian System Homogeneous Polynomial Remainder Function Symplectic Transformation
Unable to display preview. Download preview PDF.