Title :
Function Projective Synchronization of Chaotic Fractional Order Systems with Different Dimensions
Author :
Wang, Sha ; Yu, Yongguang
Author_Institution :
Dept. of Math., Beijing Jiaotong Univ., Beijing, China
Abstract :
The function projective synchronization of different dimensional fractional order chaotic systems is investigated in this letter. According to the stability theorem of linear fractional order systems, a nonlinear controller to realize the synchronization is obtained. The function projective synchronization between the fractional order chaotic and hyperchaotic Rossler systems is successfully achieved to show the feasibility of the proposed method.
Keywords :
linear systems; nonlinear control systems; reduced order systems; stability; synchronisation; chaotic fractional order system; function projective synchronization; hyperchaotic Rossler system; linear fractional order system; nonlinear controller; stability theorem; Chaotic communication; Matrices; Polynomials; Symmetric matrices; Synchronization; Vectors; Chaos; Different dimensions; Fractional order systems; Function projective synchronization; Hyperchaos;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2011 Fourth International Workshop on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4577-1798-7
DOI :
10.1109/IWCFTA.2011.24