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- Title
Matrix and Inverse Matrix Projective Synchronization of Fractional‐Order Time‐Delay Chaotic Systems with Uncertainty.
- Authors
Shukla, Vijay K.; Joshi, Mahesh C.; Mishra, Prashant K.; Avcı, İbrahim; Etemad, Sina; Wang, Peiguang
- Abstract
In the present article, the matrix projective synchronization (MPS) and the inverse matrix projective synchronization (IMPS) have been analyzed with fractional‐order chaotic systems with uncertain terms. First, we theoretically discussed both types of synchronizations. To achieve both types of synchronization, several required conditions are derived. We also drew portraits of Lyapunov's exponents and bifurcation for more analysis. Furthermore, time‐delay terms are also considered, giving an elegant application in real‐world problems. Finally, numerical results agreed with the theoretical hypothesis. The numerical outcomes are shown through the graphical presentation.
- Subjects
MATRIX inversion; LYAPUNOV exponents; UNCERTAIN systems; SYNCHRONIZATION; HYPOTHESIS
- Publication
International Journal of Differential Equations, 2024, Vol 2024, p1
- ISSN
1687-9643
- Publication type
Article
- DOI
10.1155/2024/4275850