Simple Chaotic Circuit Based on Memristance Function with Real Exponents Power

doi:10.16182/j.issn1004731x.joss.201810026

Abstract

Abstract: 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.

Key words: memristor, chaotic circuit, power with real exponents, circuit simulation

CLC Number:

TM13

Zhang Xiaohong, Qi Yanli. Simple Chaotic Circuit Based on Memristance Function with Real Exponents Power[J]. Journal of System Simulation, 2018, 30(10): 3807-3816.

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