J Austral Math Soc Ser B 35 pp103--113, 1993.

Numerical computation of symmetry-breaking bifurcation points

B. S. Attili

(Received 14 February 1989; revised 26 February 1991)

Abstract

We consider symmetry-breaking bifurcation points which arise in parameter dependent nonlinear equations of the form f(x, lambda) = 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.

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Author

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

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