论文信息 - THE COMPUTATION OF SYMMETRY-BREAKING BIFURCATION POINTS* - 字舞流文

THE COMPUTATION OF SYMMETRY-BREAKING BIFURCATION POINTS*

We consider symmetry-breaking simple singular points of a parameter dependent nonlinear equation $g(\lambda ,x) = 0$. Such points are intimately connected to pitchfork bifurcation points, and we sh...

A. Spence | B. Werner

[1] G. Raugel. Finite dimensional approximation of bifurcation problems in presence of symmetries , 1986 .

[2] E. Bohl,et al. On the steady states of finitely many chemical cells , 1985 .

[3] K. A. Cliffe,et al. Numerical calculations of two-cell and single-cell Taylor flows , 1983, Journal of Fluid Mechanics.

[4] B. Schmitt. Sur La Structure De l’equation de Duffing Sans Dissipation , 1982 .

[5] M. Golubitsky,et al. Bifurcation analysis near a double eigenvalue of a model chemical reaction , 1981 .

[6] W. Rheinboldt. Numerical analysis of continuation methods for nonlinear structural problems , 1981 .

[7] F. Brezzi,et al. Finite dimensional approximation of nonlinear problems , 1981 .

[8] G. Moore,et al. The Calculation of Turning Points of Nonlinear Equations , 1980 .

[9] R. Seydel. Numerical computation of branch points in nonlinear equations , 1979 .

[10] D. Sattinger. Transformation groups and bifurcation at multiple eigenvalues , 1973 .

[11] H. Weber. On the numerical approximation of secondary bifurcation problems , 1981 .

[12] G. Moore,et al. The numerical treatment of non-trivial bifurcation points , 1980 .

[13] Martin Golubitsky,et al. A Theory for Imperfect Bifurcation via Singularity Theory. , 1979 .

[14] J. Abbott. An e cient algorithm for the determination of certain bifurcation points , 1978 .

[15] Edward L. Reiss,et al. Multiple Eigenvalues Lead to Secondary Bifurcation , 1975 .