摘要
混沌电路仅包含3个电路元件:1个线性无源电导,1个线性无源电容和1个非线性忆阻器,其中在忆阻器设计中,现有的忆阻函数多项式均采用整数指数幂。在此基础上,设计了一个忆阻函数多项式为实数指数幂的一般忆阻器,构建了基于该忆阻器的简约混沌电路系统,分别研究了整数幂、实数幂以及线性参数对系统动力学行为的影响,并利用Lyapunov指数定性分析了系统的混沌特性。数值计算与电路实验仿真结果表明所设计的电子器件满足忆阻器的本质特征,实数指数幂忆阻函数具有更加广泛和通用的应用价值。
The simplest chaotic circuit contains only three circuit elements： a linear passive inductor, a linear passive capacitor and a nonlinear active memristor. In the design of memristors, power of memristance function polynomial with integral exponents is commonly used. On this basis, a general memristor is designed, of which the memristance function polynomial uses power with real exponents, a simple chaotic system is constructed based on the designed memristor. The influence of integral exponents, real exponents and linear parameters on dynamic behaviors is investigated, and chaotic behaviors are analyzed qualitatively using Lyapunov exponents. The Matlab and Multisim simulation results show that the designed device meets the three characteristic fingerprints of a memristor, and it is confirmed to be a memristance. The real exponential power memristance function has better effectiveness and universality.
作者
张小红
齐彦丽
Zhang Xiaohong, Qi Yanli(School of Information Engineering, Jiangxi University of Science and Technology, Ganzhnu 341000, China)
出处
《系统仿真学报》
CAS
CSCD
北大核心
2018年第10期3807-3816,共10页
Journal of System Simulation
基金
国家自然科学基金(61763017
51665019)
江西省自然基金(20161BAB202053
20161BAB2061 45)
江西省教育厅科技项目(GJJ150621)
江西省研究生创新专项资金(YC2015-S290)
关键词
忆阻器
混沌电路
实数指数幂
电路仿真
memristor
chaotic circuit
power with real exponents
circuit simulation
