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Synchronization of fractional-order and integer-order chaotic (hyper-chaotic) systems with different dimensions.
- Source :
-
Advances in Difference Equations . 10/24/2017, Vol. 2017 Issue 1, p1-16. 16p. - Publication Year :
- 2017
-
Abstract
- By constructing two scaling matrices, i.e., a function matrix $\Lambda (t)$ and a constant matrix W which is not equal to the identity matrix, a kind of $W-\Lambda(t)$ synchronization between fractional-order and integer-order chaotic (hyper-chaotic) systems with different dimensions is investigated in this paper. Based on the fractional-order Lyapunov direct method, a controller is designed to drive the synchronization error convergence to zero asymptotically. Finally, four numerical examples are presented to illustrate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2017
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 125874591
- Full Text :
- https://doi.org/10.1186/s13662-017-1399-4