Harmonic Balance Method for Chaotic Dynamics in Fractional-Order Rössler Toroidal System
This paper deals with the problem of determining the conditions under which fractional order Rössler toroidal system can give rise to chaotic behavior. Based on the harmonic balance method, four detailed steps are presented for predicting the existence and the location of chaotic motions. Numerical...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/593856 |
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| _version_ | 1832552668647653376 |
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| author | Huijian Zhu |
| author_facet | Huijian Zhu |
| author_sort | Huijian Zhu |
| collection | DOAJ |
| description | This paper deals with the problem of determining the conditions under which fractional order Rössler toroidal system can give rise to chaotic behavior. Based on the harmonic balance method, four detailed steps are presented for predicting the existence and the location of chaotic motions. Numerical simulations are performed to verify the theoretical analysis by straightforward computations. |
| format | Article |
| id | doaj-art-c7452df4c5634f338e129a08cfd1b67e |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-c7452df4c5634f338e129a08cfd1b67e2025-02-03T05:58:13ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/593856593856Harmonic Balance Method for Chaotic Dynamics in Fractional-Order Rössler Toroidal SystemHuijian Zhu0School of Sciences, South China University of Technology, Guangzhou 510640, ChinaThis paper deals with the problem of determining the conditions under which fractional order Rössler toroidal system can give rise to chaotic behavior. Based on the harmonic balance method, four detailed steps are presented for predicting the existence and the location of chaotic motions. Numerical simulations are performed to verify the theoretical analysis by straightforward computations.http://dx.doi.org/10.1155/2013/593856 |
| spellingShingle | Huijian Zhu Harmonic Balance Method for Chaotic Dynamics in Fractional-Order Rössler Toroidal System Discrete Dynamics in Nature and Society |
| title | Harmonic Balance Method for Chaotic Dynamics in Fractional-Order Rössler Toroidal System |
| title_full | Harmonic Balance Method for Chaotic Dynamics in Fractional-Order Rössler Toroidal System |
| title_fullStr | Harmonic Balance Method for Chaotic Dynamics in Fractional-Order Rössler Toroidal System |
| title_full_unstemmed | Harmonic Balance Method for Chaotic Dynamics in Fractional-Order Rössler Toroidal System |
| title_short | Harmonic Balance Method for Chaotic Dynamics in Fractional-Order Rössler Toroidal System |
| title_sort | harmonic balance method for chaotic dynamics in fractional order rossler toroidal system |
| url | http://dx.doi.org/10.1155/2013/593856 |
| work_keys_str_mv | AT huijianzhu harmonicbalancemethodforchaoticdynamicsinfractionalorderrosslertoroidalsystem |