Abstract
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.
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Meyer, K.R., Offin, D.C. (2017). Normal Forms. In: Introduction to Hamiltonian Dynamical Systems and the N-Body Problem. Applied Mathematical Sciences, vol 90. Springer, Cham. https://doi.org/10.1007/978-3-319-53691-0_10
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DOI: https://doi.org/10.1007/978-3-319-53691-0_10
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