用相图描写混频电路  

The Mixing Circuits Described by Phase Portrait

作　　者：黄炳华[1] 周珊[1] 黄昌琴 HUANG Binghua;ZHOU Shan;HUANG Changqin(Electrical Engineering School of Guangxi University,Nanning,530004,CHN)

机构地区：[1]广西大学电气工程学院

出　　处：《固体电子学研究与进展》2019年第5期364-370,共7页Research & Progress of SSE

基　　金：国家自然科学基金资助项目(60662001))

摘　　要：在非线性电路中,选取合适的三个独立变量组成一个三维空间,三变量的非线性函数关系,可以用一条有界的空间曲线来描写,这就是三维的相图。这条有界的空间曲线,或者无法写出其解析表达式,或者其显式的解析参数式非常复杂,无法从式中直观地了解电压电流变化的物理过程,但可以用程序作图画出它的图形解。如果这条空间曲线在充分长的作图时间内是非周期的,这就是连续时间系统的轨道混沌。本文构建三维的坐标体系,用相图分析方法研究非线性代数方程描写的混频电路,它只含有电阻和多种频率源也能够产生混沌。In the nonlinear circuits,three independent variables were selected to constitute three-dimension phase space,mutual nonlinear relation among three independent variables could be described by a bounded space curve,this was three-dimension phase portrait.The bounded space curve either could not be represented by analytically explicit parametric form in math,or it could be represented by the very complex expression but the physical process of change of the voltage and current could not be directly perceived.However,the graphic solution could be plotted by math program.If the bounded space curve was non-periodic in plotting interval for ample length,this was orbital chaos of continuous time system.This paper constitutes three-dimension coordinate system.The mixing circuits represented by the nonlinear algebra equations can be researched by means of the analysis method of phase portrait.It includes only resistors and multi-frequency sources also can produce chaos.

关 键 词：几何图形 空间曲线 混频 频域 混沌 

分 类 号：TN752[电子电信—电路与系统]