Algorithms for verifying conditions under which Hopf bifurcation occurs in systems of ordinary differential equations

Original Articles

Algorithms for verifying conditions under which Hopf bifurcation occurs in systems of ordinary differential equations

Published in: Quaestiones Mathematicae
Volume 13 , issue 1 , 1990 , pages: 17–29
DOI: 10.1080/16073606.1990.9632202
Author(s): J.H. Swart Department of Mathematics and Applied Mathematics, South Africa
Keywords: 35B32
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Abstract

Necessary and sufficient conditions that a system of ordinary differential equations satisfy the conditions of the Hopf bifurcation theorem are obtained and algorithm are provided by which these conditions may readily be verified.
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