"Verification of Bifurcation Diagrams for Polynomial-Like Equations" by Philip Korman

Selected Works of Yi Li

Article

Verification of Bifurcation Diagrams for Polynomial-Like Equations

Journal of Computational and Applied Mathematics

Philip Korman
Yi Li, Wright State University - Main Campus
Tiancheng Ouyang

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Document Type

Article

Publication Date

3-1-2008

Disciplines

Applied Mathematics,
Applied Statistics,
Mathematics,
Physical Sciences and Mathematics and
Statistics and Probability

Abstract

The results of our recent paper [P. Korman, Y. Li, T. Ouyang, Computing the location and the direction of bifurcation, Math. Res. Lett. 12 (2005) 933–944] appear to be sufficient to justify computer-generated bifurcation diagram for any autonomous two-point Dirichlet problem. Here we apply our results to polynomial-like nonlinearities.

DOI

dx.doi.org/10.1016/j.cam.2006.11.031

Citation Information

Philip Korman, Yi Li and Tiancheng Ouyang. "Verification of Bifurcation Diagrams for Polynomial-Like Equations" Journal of Computational and Applied Mathematics Vol. 212 (2008) p. 187 - 193 ISSN: 0377-0427
Available at: http://works.bepress.com/yi_li/46/