Abstract
Like normal form transformations, averaging uses a near identity coordinate transformation to simplify a given system of ordinary differential equations. In contrast to our treatment of normal forms, where we applied the method to strictly autonomous systems, we shall apply averaging to nonautonomous systems. The coordinate transformations will be chosen so as to transform the nonautonomous system into an autonomous one called the averaged system.
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© 1987 Springer Science+Business Media New York
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Rand, R.H., Armbruster, D. (1987). Averaging. In: Perturbation Methods, Bifurcation Theory and Computer Algebra. Applied Mathematical Sciences, vol 65. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1060-3_5
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DOI: https://doi.org/10.1007/978-1-4612-1060-3_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96589-5
Online ISBN: 978-1-4612-1060-3
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