NOTE ON THE UNFOLDING OF DEGENERATE HOPF-BIFURCATION GERMS

• Type: Article in International Scientific Journal
• Date: 1985

Authors

LABOURIAU, IS (Author) FCUP

Journal

Title: Journal of Differential Equations

Vol. 57

Pages: 436-439

ISSN: 0022-0396

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 0 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-001-WDS

DOI: 10.1016/0022-0396(85)90064-6

Abstract (EN): In an article published in this journal (J. Differential Equations 41 (1981), 375-415) M. Golubitsky and W. F. Langford provide a classification by codimension of local Hopf bifurcation problems which do not satisfy the classical nondegeneracy conditions. They describe all the stable perturbations of a oneparameter family of codimension 3 problems. The stable bifurcation diagrams for this family are presented in Fig. (4.6) of the above article, where one of the cases is indicated as N.A.-not applicable. It is shown here that this case is applicable, and the missing bifurcation diagram is provided. © 1985.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 4