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Numerical computation of symmetry-breaking bifurcation points

Published online by Cambridge University Press:  17 February 2009

B. S. Attili
B. S. Attili
Affiliation:
K.F.U.P.M., P.O. Box 1927, Dhahran 31261, Saudi Arabia
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Abstract

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We consider symmetry-breaking bifurcation points which arise in parameter-dependent nonlinear equations of the form f(x, λ) = 0. These types of bifurcation points are connected to pitchfork bifurcation points. A direct method is used to compute such points. Multiple shooting is used to discretise the two-point boundary-value problems to obtain a finite-dimensional problem.

Type
Research Article
Information
The ANZIAM Journal , Volume 35 , Issue 1 , July 1993 , pp. 103 - 113
Copyright
Copyright © Australian Mathematical Society 1993

References

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