Abstract
The method of averaging* provides an algorithm for preparing a bifurcation problem, that is, putting it into a normal form. Once this is done, one may more readily determine certain qualitative features of the bifurcation, by means of the implicit function theorem (or contraction mapping principle) and the center manifold theorem.
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© 1976 Springer-Verlag New York Inc.
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Chow, S., Mallet-Paret, J. (1976). Hopf Bifurcation and the Method of Averaging. In: The Hopf Bifurcation and Its Applications. Applied Mathematical Sciences, vol 19. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6374-6_12
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DOI: https://doi.org/10.1007/978-1-4612-6374-6_12
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90200-5
Online ISBN: 978-1-4612-6374-6
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