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Zero-Hopf bifurcation in the generalized stretch-twist-fold flow
Other Title(s)
تشعب هوبف الصفري في امتداد-التواء-التدفق المطوي المعمم
Joint Authors
Husayn, Niyazi Hadi
Amin, Azad Ibrahim
Source
Sultan Qaboos University Journal for Science
Issue
Vol. 24, Issue 2 (31 Dec. 2019), pp.122-128, 7 p.
Publisher
Sultan Qaboos University College of Science
Publication Date
2019-12-31
Country of Publication
Oman
No. of Pages
7
Main Subjects
Abstract EN
A zero-Hopf equilibrium in a three-dimensional system is an isolated equilibrium point which has a zero eigenvalue and a simple pair of purely imaginary eigenvalues.
In general, for such an equilibrium, there is no theory for finding when some periodic solutions are bifurcated by perturbing the parameters of the system.
In this work, we describe the values of the parameters for which a zero-Hopf equilibrium occurs at the equilibrium points in the generalized stretch-twist-fold flow.
Thus, only one condition for parameters of the generalized stretch-twist-fold flow introduced in a system (Eq.
1) is found for which the equilibrium point is a zero-Hopf equilibrium.
For this condition, we use the averaging method to provide the existence of a periodic solution, which bifurcates from the zero-Hopf equilibrium point.
The main result in this paper is Theorem 1, which gives a periodic solution of the generalized stretch-twist-fold flow.
American Psychological Association (APA)
Husayn, Niyazi Hadi& Amin, Azad Ibrahim. 2019. Zero-Hopf bifurcation in the generalized stretch-twist-fold flow. Sultan Qaboos University Journal for Science،Vol. 24, no. 2, pp.122-128.
https://search.emarefa.net/detail/BIM-956477
Modern Language Association (MLA)
Husayn, Niyazi Hadi& Amin, Azad Ibrahim. Zero-Hopf bifurcation in the generalized stretch-twist-fold flow. Sultan Qaboos University Journal for Science Vol. 24, no. 2 (2019), pp.122-128.
https://search.emarefa.net/detail/BIM-956477
American Medical Association (AMA)
Husayn, Niyazi Hadi& Amin, Azad Ibrahim. Zero-Hopf bifurcation in the generalized stretch-twist-fold flow. Sultan Qaboos University Journal for Science. 2019. Vol. 24, no. 2, pp.122-128.
https://search.emarefa.net/detail/BIM-956477
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 127-128
Record ID
BIM-956477