Memcapacitor model and its application in a chaotic oscillator

doi:10.1088/1674-1056/25/1/010503

中国物理B ›› 2016, Vol. 25 ›› Issue (1): 10503-010503.doi: 10.1088/1674-1056/25/1/010503

Memcapacitor model and its application in a chaotic oscillator

Guang-Yi Wang(王光义), Bo-Zhen Cai(蔡博振), Pei-Pei Jin(靳培培), Ti-Ling Hu(胡体玲)

Key Laboratory of RF Circuits and Systems, Ministry of Education of China;Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China

收稿日期:2015-05-26 修回日期:2015-09-26 出版日期:2016-01-05 发布日期:2016-01-05
通讯作者: Guang-Yi Wang E-mail:wanggyi@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61271064, 61401134, and 60971046), the Natural Science Foundation of Zhejiang Province, China (Grant Nos. LZ12F01001 and LQ14F010008), and the Program for Zhejiang Leading Team of S&T Innovation, China (Grant No. 2010R50010).

Memcapacitor model and its application in a chaotic oscillator

Guang-Yi Wang(王光义), Bo-Zhen Cai(蔡博振), Pei-Pei Jin(靳培培), Ti-Ling Hu(胡体玲)

Key Laboratory of RF Circuits and Systems, Ministry of Education of China;Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China

Received:2015-05-26 Revised:2015-09-26 Online:2016-01-05 Published:2016-01-05
Contact: Guang-Yi Wang E-mail:wanggyi@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61271064, 61401134, and 60971046), the Natural Science Foundation of Zhejiang Province, China (Grant Nos. LZ12F01001 and LQ14F010008), and the Program for Zhejiang Leading Team of S&T Innovation, China (Grant No. 2010R50010).

摘要/Abstract

摘要： A memcapacitor is a new type of memory capacitor. Before the advent of practical memcapacitor, the prospective studies on its models and potential applications are of importance. For this purpose, we establish a mathematical memcapacitor model and a corresponding circuit model. As a potential application, based on the model, a memcapacitor oscillator is designed, with its basic dynamic characteristics analyzed theoretically and experimentally. Some circuit variables such as charge, flux, and integral of charge, which are difficult to measure, are observed and measured via simulations and experiments. Analysis results show that besides the typical period-doubling bifurcations and period-3 windows, sustained chaos with constant Lyapunov exponents occurs. Moreover, this oscillator also exhibits abrupt chaos and some novel bifurcations. In addition, based on the digital signal processing (DSP) technology, a scheme of digitally realizing this memcapacitor oscillator is provided. Then the statistical properties of the chaotic sequences generated from the oscillator are tested by using the test suit of the National Institute of Standards and Technology (NIST). The tested randomness definitely reaches the standards of NIST, and is better than that of the well-known Lorenz system.

关键词: memcapacitor, oscillator, chaos, statistical test

Abstract: A memcapacitor is a new type of memory capacitor. Before the advent of practical memcapacitor, the prospective studies on its models and potential applications are of importance. For this purpose, we establish a mathematical memcapacitor model and a corresponding circuit model. As a potential application, based on the model, a memcapacitor oscillator is designed, with its basic dynamic characteristics analyzed theoretically and experimentally. Some circuit variables such as charge, flux, and integral of charge, which are difficult to measure, are observed and measured via simulations and experiments. Analysis results show that besides the typical period-doubling bifurcations and period-3 windows, sustained chaos with constant Lyapunov exponents occurs. Moreover, this oscillator also exhibits abrupt chaos and some novel bifurcations. In addition, based on the digital signal processing (DSP) technology, a scheme of digitally realizing this memcapacitor oscillator is provided. Then the statistical properties of the chaotic sequences generated from the oscillator are tested by using the test suit of the National Institute of Standards and Technology (NIST). The tested randomness definitely reaches the standards of NIST, and is better than that of the well-known Lorenz system.

Key words: memcapacitor, oscillator, chaos, statistical test

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Jn (High-dimensional chaos) 05.45.Pq (Numerical simulations of chaotic systems)

王光义, 蔡博振, 靳培培, 胡体玲. Memcapacitor model and its application in a chaotic oscillator[J]. 中国物理B, 2016, 25(1): 10503-010503.

Guang-Yi Wang(王光义), Bo-Zhen Cai(蔡博振), Pei-Pei Jin(靳培培), Ti-Ling Hu(胡体玲). Memcapacitor model and its application in a chaotic oscillator[J]. Chin. Phys. B, 2016, 25(1): 10503-010503.

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Memcapacitor model and its application in a chaotic oscillator

Memcapacitor model and its application in a chaotic oscillator

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