Stability and Synchronization of a Fractional-Order Unified System with Complex Variables

被引：1
作者：
Xie, Yanyun [1 ]
Cai, Wenliang [2 ]
Wang, Jing [3 ]
机构：
[1] Chongqing Water Resources & Elect Engn Coll, Sch Gen Educ, Chongqing, Peoples R China
[2] Chongqing Water Resources & Elect Engn Coll, Sch Hydraul Engn, Chongqing, Peoples R China
[3] Xian Int Univ, Dept Civil Engn, Xian 710000, Shaanxi, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2024年 / 2024卷
关键词：
CHAOS SYNCHRONIZATION; LORENZ SYSTEM;
D O I：
10.1155/2024/2728661
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：10
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