连续混沌系统的修正函数投影同步及其电路仿真  

Modified Functional Projective Synchronization of Continuous Chaotic System and its Circuit Simulation

作　　者：李德奎 LI Dekui(Department of Science Teaching, Gansu University of Chinese medicine, Dingxi 743000, China)

机构地区：[1]甘肃中医药大学理科教学部

出　　处：《贵州大学学报（自然科学版）》2019年第4期18-24,47,共8页Journal of Guizhou University:Natural Sciences

基　　金：甘肃省自然科学基金项目资助(1610RJZA080);甘肃省高等学校科研项目资助(2017A-155)

摘　　要：混沌系统同步及其电路实现是混沌应用的前提和基础。为此,本文利用Lyapunov稳定性方法及运算放大器原理,研究连续混沌系统的修正函数投影同步及其电路实现问题。研究得出驱动系统和响应系统实现修正函数投影同步的充分条件是增益矩阵是正定的,同时数值仿真表明充分条件的正确性。示波器输出的波形图与数值仿真的一致,说明连续混沌系统修正函数投影同步的电路设计是正确的。Synchronization of chaotic system and its circuit implementation are the premise and foundation of chaotic application. Therefore,the Lyapunov stability method and the principle of operational amplifier were used to study the modified functional projective synchronization of continuous chaotic system and its circuit implementation. The results show that the sufficient condition to realize modified functional projective synchronization on the drive systems and the response system is that the gain matrix is positive. Simultaneously,numerical simulation demonstrates the correctness of the sufficient condition. The wave diagrams shown on the oscilloscopes are consistent with those in numerical simulation,illustrating that the circuit design for modified functional projective synchronization of the continuous chaotic system is correct.

关 键 词：连续混沌系统 修正函数投影同步 电路仿真 

分 类 号：O415.5[理学—理论物理]