Sixth Mississippi State Conference on Differential Equations and Computational Simulations.
Electron. J. Diff. Eqns., Conference 15 (2007), pp. 153-158.

On the direction of pitchfork bifurcation

Xiaojie Hou, Philip Korman, Yi Li

Abstract:
We present an algorithm for computing the direction of pitchfork bifurcation for two-point boundary value problems. The formula is rather involved, but its computational evaluation is quite feasible. As an application, we obtain a multiplicity result.

Published February 28, 2007.
Math Subject Classifications: 34B15
Key Words: Pitchfork bifurcation, multiplicity of solutions.

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Xiaojie Hou
Department of Mathematical Sciences
University of Cincinnati
Cincinnati, OH 45221-0025, USA
email: houx@email.uc.edu
Philip Korman
Department of Mathematical Sciences
University of Cincinnati
Cincinnati, OH 45221-0025, USA
email: kormanp@math.uc.edu
Yi Li
Department of Mathematics
Hunan Normal University
Changsha 410081, Hunan, China.
University of Iowa, Iowa City Iowa 52242, USA.
email: yi-li@uiowa.edu

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