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Complex modified generalized projective synchronization of fractional-order complex chaos and real chaos.
- Source :
-
Advances in Difference Equations . 9/5/2015, Vol. 2015 Issue 1, p1-16. 16p. - Publication Year :
- 2015
-
Abstract
- This paper introduces a type of modified generalized projective synchronization with complex transformation matrix (CMGPS) for fractional-order complex chaos and real chaos with the same dimension and different structures. The transformation matrix in this type of chaos synchronization is a non-diagonal square matrix, and its elements are complex numbers. Based on the stability theory of fractional-order systems, necessary and sufficient criteria are established to guarantee CMGPS for the fractional-order complex chaos and fractional-order real chaos, and for two fractional-order complex chaotic systems, respectively. Numerical examples are provided to illustrate the feasibility and effectiveness of our theoretical results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COMPLEX numbers
*COMPLEX variables
*SYNCHRONIZATION
*T-matrix
*STABILITY theory
Subjects
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2015
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 109465007
- Full Text :
- https://doi.org/10.1186/s13662-015-0586-4