Numerical computation of symmetry-breaking bifurcation points-Reference-Cited by-同舟云学术

Numerical computation of symmetry-breaking bifurcation points

Published:1993-07 Issue:1 Volume:35 Page:103-113
ISSN:0334-2700
Container-title:The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
language:en
Short-container-title:J. Aust. Math. Soc. Series B, Appl. Math

Author:

Attili B. S.

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

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