可产生多翼吸引子的混沌系统及其电路实现  

Construction of Chaotic System With Multi-Winged Attractors and Its Circuit Implementation

作　　者：胡春华[1,2] 王忠林[3] 王春梅[4] 孙平[2] HU Chunhua WANG Zhonglin WANG Chunmei SUN Ping(Department of Electronics Engineering, Binzhou University, Binzhou 256603, China School of Physics and Electronics, Shandong Normal University, Jinan 250014, China College of Aeronautical Engineering, Binzhou University, Binzhou 256603？ China College of Information Engineering, Binzhou University, Binzhou 256603, China)

机构地区：[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

出　　处：《华侨大学学报（自然科学版）》2017年第3期300-305,共6页Journal of Huaqiao University(Natural Science)

基　　金：山东省自然科学基金资助项目(ZR2014FQ019);山东省滨州市科技发展计划项目(2014ZC0208);滨州学院科研基金资助项目(BZXYG1618)

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.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.

关 键 词：混纯系统 多翼吸引子 电子电路 LYAPUNOV指数 Multism12平台 

分 类 号：TN914.42[电子电信—通信与信息系统]