An adaptive energy regulation in a memristive map linearized from a circuit with two memristive channels

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外文摘要：Nonlinear circuits can show multistability when a magnetic flux-dependent memristor(MFDM)or a charge-sensitive memristor(CSM)is incorporated into a one branch circuit,which helps estimate magnetic or electric field effects.In this paper,two different kinds of memristors are incorporated into two branch circuits composed of a capacitor and a nonlinear resistor,thus a memristive circuit with double memristive channels is designed.The circuit equations are presented,and the dynamics in this oscillator with two memristive terms are discussed.Then,the memristive oscillator is converted into a memristive map by applying linear transformation on the sampled time series for the memristive oscillator.The Hamilton energy function for the memristive oscillator is obtained by using the Helmholtz theorem,and it can be mapped from the field energy of the memristive circuit.An energy function for the dual memristive map is suggested by imposing suitable weights on the discrete energy function.The dynamical behaviors of the new memristive map are investigated,and an adaptive law is proposed to regulate the firing mode in the memristive map.This work will provide a theoretical basis and experimental guidance for oscillator-to-map transformation and discrete map energy calculation.

外文关键词：

Hamilton energydual memristive mapadaptive energy regulation

作者：

Feifei Yang、Ping Zhou、Jun Ma

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作者单位：

School of Science,Chongqing University of Posts and Telecommunications,Chongqing 430065,China

College of Electrical and Information Engineering,Lanzhou University of Technology,Lanzhou 730050,China

Department of Physics,Lanzhou University of Technology,Lanzhou 730050,China

基金：

国家自然科学基金

项目编号：

12072139

出版年：

2024

DOI：

10.1088/1572-9494/ad260e

理论物理通讯(英文版)

中国科学院理论物理研究所中国物理学会

理论物理通讯(英文版)

CSTPCD

影响因子：0.333

ISSN：0253-6102

年,卷(期)：2024.76(3)

参考文献量50