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可产生多翼吸引子的混沌系统及其电路实现
引用本文:胡春华1,2,王忠林3,王春梅4,孙平2. 可产生多翼吸引子的混沌系统及其电路实现[J]. 华侨大学学报(自然科学版), 2017, 0(3): 300-305. DOI: 10.11830/ISSN.1000-5013.201703004
作者姓名:胡春华1  2  王忠林3  王春梅4  孙平2
作者单位:1. 滨州学院 电气工程系, 山东 滨州 256603;2. 山东师范大学 物理与电子科学学院, 山东 济南 250014;3. 滨州学院 航空工程学院, 山东 滨州 256603;4. 滨州学院 信息工程学院, 山东 滨州 256603
摘    要:构造一个只有一个零平衡点的新混沌系统,与广义Lorenz系统族相比,该系统可以产生单、双、三及四翼的混沌吸引子.研究表明:当参数d=2时,其平衡点为鞍结点;当参数d=5时,其平衡点为鞍焦点,且系统的散度随着参数d的变化而改变,不是一个固定值.在Multism 12仿真平台上设计该系统的电子电路,仿真结果与数值仿真、动力学特性分析结论一致,进一步验证该混沌系统的混沌特性.

关 键 词:混沌系统  多翼吸引子  电子电路  Lyapunov指数  Multism 12平台

Construction of Chaotic System With Multi-Winged Attractors and Its Circuit Implementation
HU Chunhua1,' target="_blank" rel="external">2,WANG Zhonglin3,WANG Chunmei4,SUN Ping2. Construction of Chaotic System With Multi-Winged Attractors and Its Circuit Implementation[J]. Journal of Huaqiao University(Natural Science), 2017, 0(3): 300-305. DOI: 10.11830/ISSN.1000-5013.201703004
Authors:HU Chunhua1,' target="  _blank"   rel="  external"  >2,WANG Zhonglin3,WANG Chunmei4,SUN Ping2
Affiliation:1. Department of Electronics Engineering, Binzhou University, Binzhou 256603, China; 2. School of Physics and Electronics, Shandong Normal University, Jinan 250014, China; 3. College of Aeronautical Engineering, Binzhou University, Binzhou 256603, China; 4. College of Information Engineering, Binzhou University, Binzhou 256603, China
Abstract:A novel chaotic system with single zero-balanced point is constructed in this research. The system is different from the generalized Lorenz system with its divergence, symmetry and the stability of zero-balanced point. The new system is able to produce single-winged, double-winged, three-winged and four-winged chaotic attractors. In addition, a simulation circuit of the system is designed to implement the proposed system. The circuit simulation results are inagreement with numerical simulation and dynamic analysis, which verifies the chaotic characteristics of the proposed system.
Keywords:chaotic system  multi-winged attractor  electronic circuit  Lyapunov index  Multism 12 simulation platform
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