A Four-Dimensional Hyperchaotic Finance System and Its Control Problems

被引:13
|
作者
Cao, Lin [1 ]
机构
[1] Qilu Univ Technol, Sch Business & Adm, Jinan 250353, Shandong, Peoples R China
关键词
D O I
10.1155/2018/4976380
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The construction and several control problems of a new hyperchaotic finance system are investigated in this paper. Firstly, a new four-dimensional hyperchaotic finance system is introduced, based on which a new hyperchaos is then generated by setting parameters. And the qualitative analysis is numerically studied to confirm the dynamical processes, for example, the bifurcation diagram, Poincare sections, Lyapunov exponents, and phase portraits. Interestingly, the obtained results show that this new system can display complex characteristics: chaotic, hyperchaotic, and quasiperiodic phenomena occur alternately versus parameters. Secondly, three single input adaptive controllers are designed to realize the control problems of such system: stabilization, synchronization, and coexistence of antisynchronization and complete synchronization, respectively. It is noted that the designed controllers are simpler than the existing ones. Finally, numerical simulations are provided to demonstrate the validity and the effectiveness of the proposed theoretical results.
引用
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页数:12
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