新型洛伦兹混沌系统的设计与电路仿真

Lilian Huang, Xiaoyang Wang, Guanghui Sun
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引用次数: 2

摘要

本文提出了一种新的混沌系统。它也属于Lorenz系统,该系统具有三个参数和两个非线性项,其中一个参数是分岔参数。通过理论分析和数字仿真,研究了系统的奇异吸引子、最大Lyapunov指数、分形维数、谱、功率谱和分岔等非线性动态特性。利用EWB软件对电路进行了设计和仿真。数值和电路仿真结果表明,所提出的非线性系统具有良好的混沌特性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Design and circuit simulation of the new Lorenz chaotic system
In this paper, a new chaotic system is proposed. It also belongs to Lorenz system, which has three parameters and two nonlinear terms, and one of the parameters is the bifurcation parameter. The nonlinear dynamic properties of the system such as strange attractor, the largest Lyapunov index, fractal dimension, spectrum, power spectrum and bifurcation are researched via theoretical analysis and digital simulation. EWB software is used to design and simulate the circuit. The numerical and circuit simulation indicates the new nonlinear system proposed can show chaotic characteristics.
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