Stability Analysis of Distributed Order Fractional Chen System
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...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/645080 |
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| author | H. Aminikhah A. Refahi Sheikhani H. Rezazadeh |
| author_facet | H. Aminikhah A. Refahi Sheikhani H. Rezazadeh |
| author_sort | H. Aminikhah |
| collection | DOAJ |
| description | 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 found
that chaos exists in the double fractional order Chen system. Numerical solutions are used to verify the analytical results. |
| format | Article |
| id | doaj-art-8dfba33e089e492eafa056f73db3c396 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-8dfba33e089e492eafa056f73db3c3962025-02-03T05:46:29ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/645080645080Stability Analysis of Distributed Order Fractional Chen SystemH. Aminikhah0A. Refahi Sheikhani1H. Rezazadeh2Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, IranDepartment of Applied Mathematics, Faculty of Mathematical Sciences, Islamic Azad University, Lahijan Branch, P.O. Box 1616, Lahijan, IranDepartment of Applied Mathematics, School of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, IranWe 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 found that chaos exists in the double fractional order Chen system. Numerical solutions are used to verify the analytical results.http://dx.doi.org/10.1155/2013/645080 |
| spellingShingle | H. Aminikhah A. Refahi Sheikhani H. Rezazadeh Stability Analysis of Distributed Order Fractional Chen System The Scientific World Journal |
| title | Stability Analysis of Distributed Order Fractional Chen System |
| title_full | Stability Analysis of Distributed Order Fractional Chen System |
| title_fullStr | Stability Analysis of Distributed Order Fractional Chen System |
| title_full_unstemmed | Stability Analysis of Distributed Order Fractional Chen System |
| title_short | Stability Analysis of Distributed Order Fractional Chen System |
| title_sort | stability analysis of distributed order fractional chen system |
| url | http://dx.doi.org/10.1155/2013/645080 |
| work_keys_str_mv | AT haminikhah stabilityanalysisofdistributedorderfractionalchensystem AT arefahisheikhani stabilityanalysisofdistributedorderfractionalchensystem AT hrezazadeh stabilityanalysisofdistributedorderfractionalchensystem |