Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order
This paper mainly investigates a novel inverse projective synchronization between two different fractional-order hyperchaotic systems, that is, the fractional-order hyperchaotic Lorenz system and the fractional-order hyperchaotic Chen system. By using the stability theory of fractional-order differe...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/762807 |
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| _version_ | 1832552437931573248 |
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| author | Yi Chai Liping Chen Ranchao Wu |
| author_facet | Yi Chai Liping Chen Ranchao Wu |
| author_sort | Yi Chai |
| collection | DOAJ |
| description | This paper mainly investigates a novel inverse projective synchronization between two different fractional-order hyperchaotic systems, that is, the fractional-order hyperchaotic Lorenz system and the fractional-order hyperchaotic Chen system. By using the stability theory of fractional-order differential equations and Lyapunov equations for fractional-order systems, two kinds of suitable controllers for achieving inverse projective synchronization are designed, in which the generalized synchronization, antisynchronization, and projective synchronization of fractional-order hyperchaotic Lorenz system and fractional-order hyperchaotic Chen system are also successfully achieved, respectively. Finally, simulations are presented to demonstrate the validity and feasibility of the proposed method. |
| format | Article |
| id | doaj-art-694faa83c5ae4ef683dca7769cd6601e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-694faa83c5ae4ef683dca7769cd6601e2025-02-03T05:58:36ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/762807762807Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional OrderYi Chai0Liping Chen1Ranchao Wu2State Key Laboratory of Power Transmission Equipment & System Security and New Technology, Chongqing University, Chongqing 400030, ChinaState Key Laboratory of Power Transmission Equipment & System Security and New Technology, Chongqing University, Chongqing 400030, ChinaSchool of Mathematics, Anhui University, Hefei 230039, ChinaThis paper mainly investigates a novel inverse projective synchronization between two different fractional-order hyperchaotic systems, that is, the fractional-order hyperchaotic Lorenz system and the fractional-order hyperchaotic Chen system. By using the stability theory of fractional-order differential equations and Lyapunov equations for fractional-order systems, two kinds of suitable controllers for achieving inverse projective synchronization are designed, in which the generalized synchronization, antisynchronization, and projective synchronization of fractional-order hyperchaotic Lorenz system and fractional-order hyperchaotic Chen system are also successfully achieved, respectively. Finally, simulations are presented to demonstrate the validity and feasibility of the proposed method.http://dx.doi.org/10.1155/2012/762807 |
| spellingShingle | Yi Chai Liping Chen Ranchao Wu Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order Journal of Applied Mathematics |
| title | Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order |
| title_full | Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order |
| title_fullStr | Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order |
| title_full_unstemmed | Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order |
| title_short | Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order |
| title_sort | inverse projective synchronization between two different hyperchaotic systems with fractional order |
| url | http://dx.doi.org/10.1155/2012/762807 |
| work_keys_str_mv | AT yichai inverseprojectivesynchronizationbetweentwodifferenthyperchaoticsystemswithfractionalorder AT lipingchen inverseprojectivesynchronizationbetweentwodifferenthyperchaoticsystemswithfractionalorder AT ranchaowu inverseprojectivesynchronizationbetweentwodifferenthyperchaoticsystemswithfractionalorder |