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一类新三维混沌系统的构建及电路仿真 被引量:4

Generation and Circuit Simulation for A New 3D Chaotic System
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摘要 构造了一类三维新混沌系统,该系统特点为三个非线性项且具有三个参数。为了研究系统稳定,对系统的平衡点进行了分析,并利用分岔图与Lyapunov指数分析了系统参数对该系统动力学行为的影响。同时运用Multisim13仿真了混沌系统的混沌电路。结论证实了数值仿真与电路结果的具有一致性,从而进一步说明了提出的系统具有丰富的动力学特性以及有效性。 In this paper, a new continuous autonomous chaotic system is constructed, which contains three parameters and three nonlinear terms. In order to study the stability of the system, equilibrium point in the chaotic system is analyzed, and by means of using the bifurcation diagram and Lyapunov exponent, the effect of system parameters on the chaotic system is analyzed; Also, the chaotic circuit of the system is designed by using Muhisiml3 software. The experimental results confirm the consistency of the results of numerical simulation and circuit, and the chaotic system is found to have abundant dynamics characteristic and realization.
作者 雷腾飞 付海燕 陈恒 窦洋洋 LEI Tengfei FU Haiyan CHEN Heng DOU Yangyang(School of Control Mechanical and Electrical Engineering, Qilu Institute of Technology, Jinan 250200, China School of Control Engineering, Xijing University, Xi' an 710123, China)
出处 《东莞理工学院学报》 2017年第1期23-29,共7页 Journal of Dongguan University of Technology
基金 陕西省教育厅科研计划项目(2013JK1068)
关键词 新混沌系统 LYAPUNOV指数 庞加莱截面 Multisim13 new chaotic system Lyapunov exponent poincare surface of section Multisiml3
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