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基于忆阻器的电路中的复杂动力学

Complex Dynamics in a Memcapacitor-Based Circuit.

作者信息

Yuan Fang, Li Yuxia, Wang Guangyi, Dou Gang, Chen Guanrong

机构信息

College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China.

Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China.

出版信息

Entropy (Basel). 2019 Feb 16;21(2):188. doi: 10.3390/e21020188.

DOI:10.3390/e21020188
PMID:33266903
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7514669/
Abstract

In this paper, a new memcapacitor model and its corresponding circuit emulator are proposed, based on which, a chaotic oscillator is designed and the system dynamic characteristics are investigated, both analytically and experimentally. Extreme multistability and coexisting attractors are observed in this complex system. The basins of attraction, multistability, bifurcations, Lyapunov exponents, and initial-condition-triggered similar bifurcation are analyzed. Finally, the memcapacitor-based chaotic oscillator is realized via circuit implementation with experimental results presented.

摘要

本文提出了一种新的忆阻器模型及其相应的电路模拟器，在此基础上设计了一个混沌振荡器，并对系统的动态特性进行了理论分析和实验研究。在这个复杂系统中观察到了极端多稳定性和共存吸引子。分析了吸引子盆地、多稳定性、分岔、李雅普诺夫指数以及初始条件触发的相似分岔。最后，通过电路实现了基于忆阻器的混沌振荡器，并给出了实验结果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5873/7514669/4d626a33c6a2/entropy-21-00188-g015a.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5873/7514669/4d626a33c6a2/entropy-21-00188-g015a.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5873/7514669/72af10bcd2b2/entropy-21-00188-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5873/7514669/330c410f0b82/entropy-21-00188-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5873/7514669/91552c632b44/entropy-21-00188-g004.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5873/7514669/cd2ea4838d2f/entropy-21-00188-g006.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5873/7514669/a13a7ddd35e3/entropy-21-00188-g011.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5873/7514669/4d626a33c6a2/entropy-21-00188-g015a.jpg

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本文引用的文献

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Snap-through transition of buckled graphene membranes for memcapacitor applications.用于忆阻器应用的屈曲石墨烯膜的突变转变。
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