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On-line Access: 2024-05-28

Received: 2023-12-25

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Crosschecked: 2024-05-28

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Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Jun Ma

https://orcid.org/0000-0002-6127-000X

Feifei YANG

https://orcid.org/0000-0002-1649-1225

Lujie REN

https://orcid.org/0000-0002-6906-3259

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Journal of Zhejiang University SCIENCE A 2024 Vol.25 No.5 P.382-394

http://doi.org/10.1631/jzus.A2300651


Two simple memristive maps with adaptive energy regulation and digital signal process verification


Author(s):  Feifei YANG, Lujie REN, Jun MA, Zhigang ZHU

Affiliation(s):  College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China; more

Corresponding email(s):   hyperchaos@lut.edu.cn

Key Words:  Hamilton energy, Discrete memristor, Self-adaptive regulation, Digital signal process (DSP) implementation


Feifei YANG, Lujie REN, Jun MA, Zhigang ZHU. Two simple memristive maps with adaptive energy regulation and digital signal process verification[J]. Journal of Zhejiang University Science A, 2024, 25(5): 382-394.

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journal="Journal of Zhejiang University Science A",
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pages="382-394",
year="2024",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A2300651"
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%A Jun MA
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A1 - Feifei YANG
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A1 - Jun MA
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DOI - 10.1631/jzus.A2300651


Abstract: 
Mathematical models can produce desired dynamics and statistical properties with the insertion of suitable nonlinear terms, while energy characteristics are crucial for practical application because any hardware realizations of nonlinear systems are relative to energy flow. The involvement of memristive terms relative to memristors enables multistability and initial-dependent property in memristive systems. In this study, two kinds of memristors are used to couple a capacitor or an inductor, along with a nonlinear resistor, to build different neural circuits. The corresponding circuit equations are derived to develop two different types of memristive oscillators, which are further converted into two kinds of memristive maps after linear transformation. The hamilton energy function for memristive oscillators is obtained by applying the Helmholz theorem or by mapping from the field energy of the memristive circuits. The hamilton energy functions for both memristive maps are obtained by replacing the gains and discrete variables for the memristive oscillator with the corresponding parameters and variables. The two memristive maps have rich dynamic behaviors including coherence resonance under noisy excitation, and an adaptive growth law for parameters is presented to express the self-adaptive property of the memristive maps. A digital signal process (DSP) platform is used to verify these results. Our scheme will provide a theoretical basis and experimental guidance for oscillator-to-map transformation and discrete map-energy calculation.

两类自适应能量调控的忆阻映射和数字电路实现

作者:杨飞飞1,2,任璐洁3,马军1,2,朱志刚2
机构:1兰州理工大学,电气工程与信息工程学院,中国兰州,730050;2兰州理工大学,物理系,中国兰州,730050;3大连工业大学,信息科学与工程学院,中国大连,116034
目的:从物理角度论证忆阻型映射设计的方法和可靠性判据,给出能量函数并表达其自适应调控的机理。
创新点:1.设计两种不同忆阻型映射并论证忆阻型映射的物理可靠性;2.给出忆阻映射的能量函数定义方法;3.提出自适应调控忆阻映射的能力机理。
方法:1.以两类忆阻器分别耦合电感型和电容型器件,设计两类忆阻电路和忆阻振子;2.利用两种方法分别计算忆阻振子的能量函数;3.对忆阻振子的变量和参数进行线性变换得到对应的忆阻映射和能量函数;4.引入阶跃函数和取整函数来表达参数自适应调整,忆阻振子能量超过一定阈值则促进参数进一步增长。
结论:1.非线性电路和振子的构造需要最基本的电感型、电容性器件和非线性器件(变量和函数);2.能量决定着振子和映射的振荡模态;3.包含时间标度的线性变换可以把非线性振子转换为等效的非线性映射;4.随机性刺激可诱发忆阻映射产生相干共振;5.准确的能量定义有利于判断非线性振子的物理意义和可靠性。

关键词:哈密顿能量;离散忆阻器;自适应调控;数字电路实现

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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