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Erschienen in:
1990 | OriginalPaper | Buchkapitel
The method of averaging
verfasst von : Ferdinand Verhulst
Erschienen in: Nonlinear Differential Equations and Dynamical Systems
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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In this chapter we shall consider again equations containing a small parameter ε. The approximation method leads generally to asymptotic series as opposed to the convergent series studied in the preceding chapter; see section 9.2 for the basic concepts. This asymptotic character of the approximations is more natural in many problems; also the method turns out to be very powerful, it is not restricted to periodic solutions.