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 |
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Philip Korman Department of Mathematical Sciences University of Cincinnati Cincinnati, OH 45221-0025, USA email: kormanp@math.uc.edu |
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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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