Complex Dynamics of the Fractional-Order Rössler System and Its Tracking Synchronization Control
Numerical analysis of fractional-order chaotic systems is a hot topic of recent years. The fractional-order Rössler system is solved by a fast discrete iteration which is obtained from the Adomian decomposition method (ADM) and it is implemented on the DSP board. Complex dynamics of the fractional-o...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/4019749 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832565448382611456 |
|---|---|
| author | Huihai Wang Shaobo He Kehui Sun |
| author_facet | Huihai Wang Shaobo He Kehui Sun |
| author_sort | Huihai Wang |
| collection | DOAJ |
| description | Numerical analysis of fractional-order chaotic systems is a hot topic of recent years. The fractional-order Rössler system is solved by a fast discrete iteration which is obtained from the Adomian decomposition method (ADM) and it is implemented on the DSP board. Complex dynamics of the fractional-order chaotic system are analyzed by means of Lyapunov exponent spectra, bifurcation diagrams, and phase diagrams. It shows that the system has rich dynamics with system parameters and the derivative order q. Moreover, tracking synchronization controllers are theoretically designed and numerically investigated. The system can track different signals including chaotic signals from the fractional-order master system and constant signals. It lays a foundation for the application of the fractional-order Rössler system. |
| format | Article |
| id | doaj-art-62790d31e6484994b61642db19373259 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-62790d31e6484994b61642db193732592025-02-03T01:07:48ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/40197494019749Complex Dynamics of the Fractional-Order Rössler System and Its Tracking Synchronization ControlHuihai Wang0Shaobo He1Kehui Sun2School of Physics and Electronics, Central South University, Changsha 410083, ChinaSchool of Physics and Electronics, Central South University, Changsha 410083, ChinaSchool of Physics and Electronics, Central South University, Changsha 410083, ChinaNumerical analysis of fractional-order chaotic systems is a hot topic of recent years. The fractional-order Rössler system is solved by a fast discrete iteration which is obtained from the Adomian decomposition method (ADM) and it is implemented on the DSP board. Complex dynamics of the fractional-order chaotic system are analyzed by means of Lyapunov exponent spectra, bifurcation diagrams, and phase diagrams. It shows that the system has rich dynamics with system parameters and the derivative order q. Moreover, tracking synchronization controllers are theoretically designed and numerically investigated. The system can track different signals including chaotic signals from the fractional-order master system and constant signals. It lays a foundation for the application of the fractional-order Rössler system.http://dx.doi.org/10.1155/2018/4019749 |
| spellingShingle | Huihai Wang Shaobo He Kehui Sun Complex Dynamics of the Fractional-Order Rössler System and Its Tracking Synchronization Control Complexity |
| title | Complex Dynamics of the Fractional-Order Rössler System and Its Tracking Synchronization Control |
| title_full | Complex Dynamics of the Fractional-Order Rössler System and Its Tracking Synchronization Control |
| title_fullStr | Complex Dynamics of the Fractional-Order Rössler System and Its Tracking Synchronization Control |
| title_full_unstemmed | Complex Dynamics of the Fractional-Order Rössler System and Its Tracking Synchronization Control |
| title_short | Complex Dynamics of the Fractional-Order Rössler System and Its Tracking Synchronization Control |
| title_sort | complex dynamics of the fractional order rossler system and its tracking synchronization control |
| url | http://dx.doi.org/10.1155/2018/4019749 |
| work_keys_str_mv | AT huihaiwang complexdynamicsofthefractionalorderrosslersystemanditstrackingsynchronizationcontrol AT shaobohe complexdynamicsofthefractionalorderrosslersystemanditstrackingsynchronizationcontrol AT kehuisun complexdynamicsofthefractionalorderrosslersystemanditstrackingsynchronizationcontrol |