Memcapacitor model and its application in chaotic oscillator with memristor.
Memristors and memcapacitors are two new nonlinear elements with memory. In this paper, we present a Hewlett-Packard memristor model and a charge-controlled memcapacitor model and design a new chaotic oscillator based on the two models for exploring the characteristics of memristors and memcapacitors in nonlinear circuits. Furthermore, many basic dynamical behaviors of the oscillator, including equilibrium sets, Lyapunov exponent spectrums, and bifurcations with various circuit parameters, are investigated theoretically and numerically. Our analysis results show that the proposed oscillator possesses complex dynamics such as an infinite number of equilibria, coexistence oscillation, and multi-stability. Finally, a discrete model of the chaotic oscillator is given and the main statistical properties of this oscillator are verified via Digital Signal Processing chip experiments and National Institute of Standards and Technology tests.
Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China.
Guangyi
G
Wang
Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China.
Shouchi
S
Zang
Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China.
Xiaoyuan
0000000308657827
X
Wang
Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China.
Fang
0000000320176030
F
Yuan
School of Electrical, Electronic, and Computer Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia.
Herbert Ho-Ching
HH
Iu