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- Title
Stability and Synchronization of a Fractional‐Order Unified System with Complex Variables.
- Authors
Xie, Yanyun; Cai, Wenliang; Wang, Jing; Munoz-Pacheco, Jesus M.
- Abstract
In this paper, a fractional‐order unified system with complex variables is proposed. Firstly, the basic properties of the system including the equilibrium points and symmetry are analyzed. Bifurcations of the system in commensurate‐order and incommensurate‐order cases are studied. Tangent and period‐doubling bifurcations can be observed when a derivative order or a parameter is varied. The stabilization the system is investigated via the predict feedback method. Based on the stability theory of fractional‐order systems, a projective synchronization for the fractional‐order unified complex system is proposed by designing an appropriate controller. Numerical simulations are applied to verify the effectiveness of the proposed scheme.
- Subjects
COMPLEX variables; STABILITY theory; SYSTEMS theory; SYNCHRONIZATION; COMPUTER simulation
- Publication
Discrete Dynamics in Nature & Society, 2024, Vol 2024, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2024/2728661