广西大学 电气工程学院,广西大学 电气工程学院,广西大学 电气工程学院
It is called mixing that the several harmonic component with different frequency is mixed in the nonlinear device .The dynamic process of the mixing circuits is described by the nonlinear differential equation which usually can be written by circuit law. However the analytical expression cannot mostly be found by the differential equation . Therefore in the development of modern nonlinear science, the graphical solutions of the differential equation are found by numerical simulation, the functional relation among three variation is expressed by a space curve, moreover the graphical solution is considered as the result of solving equations. The space curve plotted by numerical simulation is called phase portrait. Its shape and property vary with the parameter of excited source. The mixing may arise two sorts of oscillation pattern, the periodic and chaotic state .The periodic state can obviously obtain a closed period orbit in the simulation interval, the closed orbit may be single circle or multi- circle. The phase portrait of chaotic state is much more complex than the periodic state, it cannot display the close of trajectory in the simulation interval finally, therefore it is considered as chaos of non-periodic.
梁永清,黄炳华,韦忠海. 混频产生混沌[J]. 科学技术与工程, 2016, 16(7): .
Liang Yongqing, Huang Binghua, Wei Zhonghai. The Chaos Produced by Mixing[J]. Science Technology and Engineering,2016,16(7).