EXISTENCE OF HOPF-BIFURCATION IN A 6-DIMENSIONAL SYSTEM

TitleEXISTENCE OF HOPF-BIFURCATION IN A 6-DIMENSIONAL SYSTEM
Publication TypeJournal Article
Year of Publication2017
AuthorsKUMAR, ANUJ, AGRAWAL, AK
Secondary TitleCommunications in Applied Analysis
Volume21
Issue1
Start Page119
Pagination8
Date Published01/2017
Type of Workscientific: mathematics
ISSN1083-2564
AMS65F99, 93C15
Abstract

In this paper, we discover a set of conditions for the existence of Hopf-bifurcation in a system of 6- dimensional ordinary differential equations. Here, we find these conditions in terms of the coefficients of the characteristic equation of Jacobi matrix corresponding to the equilibrium point. These conditions are also helpful in normal form theory of 6- dimensional system to study the direction of Hopf-bifurcation.
URLhttp://www.acadsol.eu/en/articles/21/1/8.pdf
DOI10.12732/caa.v21i1.8
Short TitleExistence of Hopf-Bifurcation
Alternate JournalCAA
Refereed DesignationRefereed
Full Text

REFERENCES

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