Modified generalized projective synchronization of fractional-order chaotic Lü systems

Advances in Difference Equations

Jian Liu¹  Chunhua Yuan²  Shutang Liu⁴ 

[1] School of Control Science and Engineering, Shandong University, Ji’School of Mathematical Sciences, University of Ji’nan, Ji’nan, P.R. China

关键词: fractional-order system;    chaotic system;    Lyapunov exponent;    modified generalized projective synchronization;   

DOI  :  10.1186/1687-1847-2013-374

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper addresses new modified generalized projective synchronization (MGPS) of fractional-order chaotic systems based on the stability theory of fractional-order systems, where the drive and response systems could be asymptotically synchronized up to a desired transformation matrix, not a diagonal matrix. MGPS between the hyperchaotic Lorenz system and the Lü system of the base order 0.95 is implemented as an example. Numerical simulations show the effectiveness and feasibility of the method. PACS Codes:05.45.

【 授权许可】

CC BY