| Autor: |
Yanyun Xie, Wenliang Cai, Jing Wang |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
Discrete Dynamics in Nature and Society, Vol 2024 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
1607-887X |
| DOI: |
10.1155/2024/2728661 |
| Popis: |
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. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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