An Extremely Multistable Complex Chaotic System Under Boosting Control | |
Yang, Feifei2; Xiong, Li1; An, Xinlei2,3 | |
刊名 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
2022-06-15 | |
卷号 | 32期号:7 |
关键词 | Complex chaotic infinitely many coexisting attractors hardware implementation |
ISSN号 | 0218-1274 |
DOI | 10.1142/S0218127422501012 |
英文摘要 | In order to explore the phenomenon of coexisting attractors in complex chaotic systems, a multistable complex chaotic system is designed by using a cosine function and a control parameter to control the Sprott B system in this paper. The basic features of the complex chaotic system are analyzed from the perspectives of symmetry, dissipation, equilibrium points and stability. The analysis results indicate that the complex chaotic system is a symmetrical and dissipative system. It is particularly interesting to note that the system has infinitely many unstable equilibrium points, which generate infinitely many attractors. The dynamical characteristics of the complex chaotic system are evaluated through bifurcation diagrams, spectral entropy complexity and Lyapunov exponents spectrum. The dynamical evaluations illustrate that the system has complex dynamical performances, such as chaotic states, periodic states, especially infinitely many coexisting attractors. Then a chaotic circuit based on the complex chaotic system is designed and simulated by Multisim software. And the hardware circuit is implemented by using digital signal processor (DSP) platform. The hardware experimental results are consistent with the Multisim simulation results. |
WOS研究方向 | Mathematics ; Science & Technology - Other Topics |
语种 | 英语 |
出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
WOS记录号 | WOS:000810495500003 |
内容类型 | 期刊论文 |
源URL | [http://ir.lut.edu.cn/handle/2XXMBERH/158941] |
专题 | 兰州理工大学 |
作者单位 | 1.Hexi Univ, Sch Phys & Electromech Engn, Zhangye 734000, Peoples R China; 2.Lanzhou Univ Technol, Coll Elect & Informat Engn, Lanzhou 730050, Peoples R China; 3.Lanzhou Jiaotong Univ, Sch Math & Phys, Lanzhou 730070, Peoples R China |
推荐引用方式 GB/T 7714 | Yang, Feifei,Xiong, Li,An, Xinlei. An Extremely Multistable Complex Chaotic System Under Boosting Control[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2022,32(7). |
APA | Yang, Feifei,Xiong, Li,&An, Xinlei.(2022).An Extremely Multistable Complex Chaotic System Under Boosting Control.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,32(7). |
MLA | Yang, Feifei,et al."An Extremely Multistable Complex Chaotic System Under Boosting Control".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 32.7(2022). |
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