[1]闫少辉,宋进才,孙溪,等.一个非自治混沌系统及其弱信号检测的应用[J].深圳大学学报理工版,2023,40(2):227-235.[doi:10.3724/SP.J.1249.2023.02227]
　YAN Shaohui,SONG Jincai,et al.A non-autonomous chaotic system and its application in weak signal detection[J].Journal of Shenzhen University Science and Engineering,2023,40(2):227-235.[doi:10.3724/SP.J.1249.2023.02227]
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一个非自治混沌系统及其弱信号检测的应用()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第40卷
期数:
2023年第2期
页码:
227-235
栏目:
电子与信息科学
出版日期:
2023-03-15

文章信息/Info

Title:
A non-autonomous chaotic system and its application in weak signal detection
文章编号:
202302013
作者:
闫少辉1; 2;  宋进才1;  孙溪1;  王尔童1;  张宇妍1
1）西北师范大学物理与电子工程学院，甘肃兰州 730070
2）甘肃省智能信息技术与应用工程研究中心，甘肃兰州 730070
Author(s):
YAN Shaohui1;  2;  SONG Jincai1;  SUN Xi1;  WANG Ertong1;  and ZHANG Yuyan1
1) College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, Gansu Province, P.R.China
2) Engineering Research Centre of Gansu Province for Intelligent Information Technology and Application, Lanzhou 730070, Gansu Province, P.R.China
关键词:
混沌; 拓扑形状; 临界阈值; 弱信号检测; 电路实现; 动力学行为
Keywords:
chaotic;  topological shape;  critical threshold;  weak signal detection;  circuit implementation;  dynamic behavior
分类号:
TP273；O415.5
DOI:
10.3724/SP.J.1249.2023.02227
文献标志码:
A
摘要:
为有效检测夹杂在强噪声中的微弱有用信号，构造一个具有丰富动力学行为的三维耗散混沌系统，利用相图、Lyapunov指数谱和分岔图数值仿真方法，分析该混沌系统的复杂动力学行为，并利用该系统良好的噪声免疫性和极端敏感性，将其应用于未知频率的微弱信号检测．通过对平衡点的稳定性分析，确定了混沌吸引子拓扑形状变化的临界阈值．该系统在双涡卷混沌状态和单涡卷混沌状态之间的开关阈值附近运行，微弱信号的幅值会影响混沌吸引子的拓扑形状．在Multisim中构建系统的仿真电路，并搭建实际的物理电路，模拟电路的实验结果与数值分析结果一致．研究结果可为弱信号检测的实际工程提供新思路．
Abstract:
To effectively detect weak useful signals embedded in strong noise, we constructe a three-dimensional dissipative chaotic system with rich dynamic behavior. By using the numerical simulation methods including phase diagrams, Lyapunov exponent spectra and bifurcation diagrams, we analyze the complex dynamic behavior of system, and make use of the system’s good noise immunity and extreme sensitivity to detect weak signals of unknown frequency. By analyzing the stability of equilibrium point, we determine the critical threshold for the topological shape change of chaotic attractor. The system operates near the switching threshold, which is located between the double-scroll chaotic state and the single-scroll chaotic state, such that the amplitude of the weak signal affects the topological shape of chaotic attractor. Additionally, we construct the simulation circuit of system in Multisim, and build the actual physical circuit. The experimental results of simulation circuit are consistent with the numerical analysis results. This study indicates that the system can provide a new idea for practical engineering applications in the field of weak signal detection.

参考文献/References:

［1］ LORENZ E N. Deterministic nonperiodic flow [J]. Journal of the Atmospheric Sciences, 1963, 20(2): 130-141.
［2］ CHEN Guanrong, UETA T. Yet another chaotic attractor [J]. International Journal of Bifurcation and Chaos, 1999, 9(7): 1465-1466.
［3］ L? Jinhu, CHEN Guanrong. A new chaotic attractor coined [J]. International Journal of Bifurcation and Chaos, 2002, 12(3): 659-661.
［4］ LIU Chongxin, LIU Tao, LIU Ling, et al. A new chaotic attractor [J]. Chaos, Solitons & Fractals, 2004, 22(5): 1031-1038.
［5］ AGARWAL A, AGRAWAL M, KUMAR A. Higher-order-statistics-based direction-of-arrival estimation of multiple wideband sources with single acoustic vector sensor [J]. IEEE Journal of Oceanic Engineering, 2020, 45(4): 1439-1449.
［6］ JIAO Shangbin, LEI Shuang, JIANG Wei, et al. A novel type of stochastic resonance potential well model and its application [J]. IEEE Access, 2019, 7: 160191-160202.
［7］ 王小飞，曲建岭，高峰，等．基于噪声辅助非均匀采样复数据经验模态分解的混沌信号降噪［J］．物理学报，2014，63（17）：170203．
WANG Xiaofei, QU Jianling, GAO Feng, et al. A chaotic signal denoising method developed on the basis of noise-assisted nonuniformly sampled bivariate empirical mode decomposition [J]. Acta Physica Sinica, 2014, 63(17): 170203.(in Chinese)
［8］ 闫少辉，王尔童，孙溪，等．一个吸引子共存的混沌系统及其同步电路实现［J］．深圳大学学报理工版，2021，38（6）：649-657．
YAN Shaohui, WANG Ertong, SUN Xi, et al. A chaotic system with attractor coexistence and its synchronization circuit implementation [J]. Journal of Shenzhen University Science and Technology, 2021, 38(6): 649-657.(in Chinese)
［9］ 曹满婷，宋菲菲．Duffing混沌弱信号检测系统分析及电路实现［J］．自动化仪表，2017，38（1）：77-80．
CAO Manting, SONG Feifei. Analysis and circuit implementation of the Duffing chaotic weak signal detection system [J]. Process Automation Instrumentation, 2017, 38(1): 77-80.(in Chinese)
［10］ 俞军，王晓媛．一个指数混沌系统的数字化实现［J］．杭州电子科技大学学报自然科学版，2019，39（3）：21-25．
YU Jun, WANG Xiaoyuan. Digital realization of an exponential chaotic system [J]. Journal of Hangzhou Dianzi University Natural Science Edition, 2019, 39(3): 21-25.(in Chinese)
［11］ 孙常春，陈仲堂，侯祥林．具有无穷平衡点的新混沌系统动力学分析与振动控制［J］．振动与冲击，2017，36（21）：220-224，231．
SUN Changchun, CHEN Zhongtang, HOU Xianglin. Dynamical analysis and vibration control of a novel chaotic system with infinite equilibria [J]. Journal of Vibration and Shock, 2017, 36(21): 220-224, 231.(in Chinese)
［12］ PHAM V T, JAFARI S, VOLOS C, et al. A gallery of chaotic systems with an infinite number of equilibrium points [J]. Chaos, Solitons & Fractals, 2016, 93: 58-63.
［13］ 鲜永菊，莫运辉，徐昌彪，等．具有多种吸引子共存类型的新型四维混沌系统［J］．华南理工大学学报自然科学版，2020，48（3）：32-43．
XIAN Yongju, MO Yunhui, XU Changbiao, et al. New four-dimensional chaotic system with multiple types of coexistence of attractor [J]. Journal of South China University of Technology Natural Science Edition, 2020, 48(3): 32-43.(in Chinese)
［14］ LAI Qiang, CHEN Shiming. Research on a new 3D autonomous chaotic system with coexisting attractors [J]. Optik, 2016, 127(5): 3000-3004.
［15］ DU Chuanhong, LIU Licai, ZHANG Zhengping, et al. A coupling method of double memristors and analysis of extreme transient behavior [J]. Nonlinear Dynamics, 2021, 104(1): 765-787.
［16］ CHEN Chengjie, CHEN Jingqi, BAO Han, et al. Coexisting multi-stable patterns in memristor synapse-coupled Hopfield neural network with two neurons [J]. Nonlinear Dynamics, 2019, 95(4): 3385-3399.
［17］ GU Shuangquan, HE Shaobo, WANG Huihai, et al. Analysis of three types of initial offset-boosting behavior for a new fractional-order dynamical system [J]. Chaos, Solitons & Fractals, 2021, 143: 110613.
［18］ HU Gang, WANG Kejun, LIU Liangliang. Detection line spectrum of ship radiated noise based on a new 3D chaotic system [J]. Sensors, 2021, 21(5): 1610.
［19］ LIU Jianming, LIN Zhenjun, WANG Wenbo. An improved Liu chaotic circuit for weak signal detection [J]. The European Physical Journal Plus, 2019, 134(5): 201.
［20］ YAN Shaohui, SUN Xi, WANG Qiyu, et al. A novel double-wing chaotic system with infinite equilibria and coexisting rotating attractors: application to weak signal detection [J]. Physica Scripta, 2021, 96(12): 125216.

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备注/Memo

备注/Memo:
Received: 2022- 09-30; Accepted: 2022-11-14; Online (CNKI): 2023-01-30
Foundation: Natural Science Foundational of Gansu Province (20JR5RA531)
Corresponding author: Associate professor YAN Shaohui.E-mail: mortals_ysh@163.com
Citation: YAN Shaohui, SONG Jincai, SUN Xi, et al. A non-autonomous chaotic system and its application in weak signal detection [J]. Journal of Shenzhen University Science and Engineering, 2023, 40(2): 227-235.(in Chinese)
基金项目：甘肃省自然科学基金资助项目（20JR5RA531）
作者简介：闫少辉（1980—），西北师范大学副教授、博士．研究方向：非线性电路及应用．E-mail: mortals_ysh@163.com
引文：闫少辉，宋进才，孙溪，等.一个非自治混沌系统及其弱信号检测的应用［J］.深圳大学学报理工版，2023，40（2）：227-235.
更新日期/Last Update: 2023-03-30