| Title: | Ouannas A, Azar AT, Ziar T and Vaidyanathan S (2017) Fractional Inverse Generalized Chaos Synchronization Between Different Dimensional Systems. Studies in Computational Intelligence, Vol. 688, pp 525-551, Springer-Verlag, Germany |
| Authors: | Not Available |
| Year: | 2017 |
| Keywords: | Not Available |
| Journal: | Studies in Computational Intelligence |
| Volume: | 688 |
| Issue: | Not Available |
| Pages: | 525-551 |
| Publisher: | Springer |
| Local/International: | International |
| Paper Link: | |
| Full paper | Not Available |
| Supplementary materials | Not Available |
| Abstract: |
In this chapter, new control schemes to achieve inverse generalizedsynchronization (IGS) between fractional order chaotic (hyperchaotic) systems with different dimensions are presented. Specifically, given a fractional master system with dimension n and a fractional slave system with dimension m, the proposed approach enables each master system state to be synchronized with a functional relationship of slave system states. The method, based on the fractional Lyapunov approach and stability property of integer-order linear differential systems, presents some useful features: (i) it enables synchronization to be achieved for both cases nm ; (ii) it is rigorous, being based on theorems; (iii) it can be readily applied to any chaotic (hyperchaotic) fractional systems. Finally, the capability of the approach is illustrated by synchronization examples. |
