Hopf Birurcation of Lorenz-like System about Parameter h

Gaoxiang Yang

Modern Applied Science, 2010, vol. 4, issue 1, 91

Abstract: The article mainly researched the Hopf bifurcation of Lorenz-like system about the coefficient of the quadratic term. When the quadratic term changes, the solution to the Lorenz-like system will become the local periodic solution. Further the stability of this periodic solution and the bifurcation direction of this periodic solution were discussed, and found when the quadratic term comes through a threshold , the direction of hopf bifurcation and stability were given, and the result as follows. If , when , the direction of bifurcation is , when , the direction of bifurcation is ; (b) if , we have the contrary result. That is when , the direction of bifurcation is ; when , the direction of bifurcation is . If , the bifurcation solution is asymptotically stable; if , the bifurcation solution is not asymptotically stable. Finally employing the matlab compute the numerical periodic solution, the results fit the theory well.

Date: 2010
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://ccsenet.org/journal/index.php/mas/article/download/4840/4089 (application/pdf)
https://ccsenet.org/journal/index.php/mas/article/view/4840 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ibn:masjnl:v:4:y:2010:i:1:p:91

Access Statistics for this article

More articles in Modern Applied Science from Canadian Center of Science and Education Contact information at EDIRC.
Bibliographic data for series maintained by Canadian Center of Science and Education ().