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The Hopf bifurcation theorem in three dimensions
Published online by Cambridge University Press: 24 October 2008
Abstract
The Hopf bifurcation theorem describes the creation of a limit cycle from an isolated singular point of a system of first-order differential equations depending on a parameter. This paper describes a method for determining explicitly a range of values of the parameter throughout which the Hopf configuration continues to exist; only the three-dimensional case is described in this paper, but the method can be generalized.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 82 , Issue 3 , November 1977 , pp. 469 - 483
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- Copyright © Cambridge Philosophical Society 1977
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