中国物理B ›› 2007, Vol. 16 ›› Issue (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

邵仕泉, 高心, 刘兴文   

  1. School of Electrical and Information Engineering, Southwest University\\ for Nationalities of China, Chengdu 610041, China
  • 收稿日期:2006-12-27 修回日期:2007-01-24 出版日期:2007-09-20 发布日期:2007-09-20
  • 基金资助:
    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).

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)   

  1. School of Electrical and Information Engineering, Southwest University for Nationalities of China, Chengdu 610041, China
  • Received:2006-12-27 Revised:2007-01-24 Online:2007-09-20 Published:2007-09-20
  • Supported by:
    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).

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摘要： 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.

关键词: fractional order, chaos synchronization, projective synchronization, Rossler system

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.

Key words: fractional order, chaos synchronization, projective synchronization, Rossler system

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Pq (Numerical simulations of chaotic systems)