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Chinese Physics, 2007, Vol. 16(9): 2612-2615    DOI: 10.1088/1009-1963/16/9/019
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Projective synchronization in coupled fractional order chaotic Rossler system and its control

Shao Shi-Quan(邵仕泉), Gao Xin(高心), and Liu Xing-Wen(刘兴文)
School of Electrical and Information Engineering, Southwest University for Nationalities of China, Chengdu 610041, China
Abstract  This paper proposes a method to achieve projective synchronization of the fractional order chaotic Rossler system. First, construct the fractional order Rossler system's corresponding approximate integer order system, then a control method based on a partially linear decomposition and negative feedback of state errors is utilized on the new integer order system. Mathematic analyses prove the feasibility and the numerical simulations show the effectiveness of the proposed method.
Keywords:  fractional order      chaos synchronization      projective synchronization      Rossler system  
Received:  27 December 2006      Revised:  24 January 2007      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Pq (Numerical simulations of chaotic systems)  
Fund: Project supported by the Key Youth Project of Southwest University for Nationalities of China and the Natural Science Foundation of the State Nationalities Affairs Commission of China (Grant Nos~05XN07 and 07XN05).

Cite this article: 

Shao Shi-Quan(邵仕泉), Gao Xin(高心), and Liu Xing-Wen(刘兴文) Projective synchronization in coupled fractional order chaotic Rossler system and its control 2007 Chinese Physics 16 2612

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