Stability Analysis of Distributed Order Fractional Chen System
Joint Authors
Rezazadeh, Hadi
Refahi Sheikhani, A. H.
Aminikhah, Hossein
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-28
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We first investigate sufficient and necessary conditions of stability of nonlinear distributed order fractional system and then we generalize the integer-order Chen system into the distributed order fractional domain.
Based on the asymptotic stability theory of nonlinear distributed order fractional systems, the stability of distributed order fractional Chen system is discussed.
In addition, we have foundthat chaos exists in the double fractional order Chen system.
Numerical solutions are used to verify the analytical results.
American Psychological Association (APA)
Aminikhah, Hossein& Refahi Sheikhani, A. H.& Rezazadeh, Hadi. 2013. Stability Analysis of Distributed Order Fractional Chen System. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1033158
Modern Language Association (MLA)
Aminikhah, Hossein…[et al.]. Stability Analysis of Distributed Order Fractional Chen System. The Scientific World Journal No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-1033158
American Medical Association (AMA)
Aminikhah, Hossein& Refahi Sheikhani, A. H.& Rezazadeh, Hadi. Stability Analysis of Distributed Order Fractional Chen System. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1033158
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033158