Abstract
Center manifold theory [6] is a method which uses power series expansions in the neighborhood of an equilibrium point in order to reduce the dimension of a system of ordinary differential equations. The method involves restricting attention to an invariant subspace (the center manifold) which contains all of the essential behavior of the system in the neighborhood of the equilibrium point as t → ∞.
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© 1987 Springer Science+Business Media New York
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Rand, R.H., Armbruster, D. (1987). Center Manifolds. 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_2
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DOI: https://doi.org/10.1007/978-1-4612-1060-3_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96589-5
Online ISBN: 978-1-4612-1060-3
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