Zero-hopf bifurcation in the rössler’s second system
Author
Source
ZANCO Journal of Pure and Applied Sciences
Issue
Vol. 29, Issue 5 (31 Oct. 2017), pp.66-75, 10 p.
Publisher
Salahaddin University-Erbil Department of Scientific Publications
Publication Date
2017-10-31
Country of Publication
Iraq
No. of Pages
10
Main Subjects
Natural & Life Sciences (Multidisciplinary)
Abstract EN
This paper is devoted to study the zero-Hopf bifurcation of the Rössler's second system.
We characterize the parameters for which a zero-Hopf equilibrium point takes place at each point.
We prove that there are three oneparameter families exhibiting such equilibria.
The averaging theory of the first order is also applied to prove the existence of one periodic orbit bifurcating from the zero-Hopf equilibrium at the origin.
Here, to visualize this, FireFlies software is used.
American Psychological Association (APA)
Salih, Rizgar H.. 2017. Zero-hopf bifurcation in the rössler’s second system. ZANCO Journal of Pure and Applied Sciences،Vol. 29, no. 5, pp.66-75.
https://search.emarefa.net/detail/BIM-795326
Modern Language Association (MLA)
Salih, Rizgar H.. Zero-hopf bifurcation in the rössler’s second system. ZANCO Journal of Pure and Applied Sciences Vol. 29, no. 5 (2017), pp.66-75.
https://search.emarefa.net/detail/BIM-795326
American Medical Association (AMA)
Salih, Rizgar H.. Zero-hopf bifurcation in the rössler’s second system. ZANCO Journal of Pure and Applied Sciences. 2017. Vol. 29, no. 5, pp.66-75.
https://search.emarefa.net/detail/BIM-795326
Data Type
Journal Articles
Language
English
Record ID
BIM-795326