Dynamical Analysis and Misalignment Projection Synchronization of a Novel RLCM Fractional-Order Memristor Circuit System-Reference-Cited by-同舟云学术

Dynamical Analysis and Misalignment Projection Synchronization of a Novel RLCM Fractional-Order Memristor Circuit System

Published:2023-12-15 Issue:12 Volume:12 Page:1125
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Liu Jindong¹^ORCID,Tian Huaigu¹^ORCID,Wang Zhen¹²^ORCID,Guan Yan¹,Cao Zelin³⁴

Affiliation:

1. Xi’an Key Laboratory of Human-Machine Integration and Control Technology for Intelligent Rehabilitation, School of Computer Science, Xijing University, Xi’an 710123, China

2. Shaanxi International Joint Research Center for Applied Technology of Controllable Neutron Source, School of Electronic Information, Xijing University, Xi’an 710123, China

3. Frontier Institute of Science and Technology (FIST), Xi’an Jiaotong University, Xi’an 710049, China

4. Micro- and Nano-Technology Research Center, State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, China

Abstract

In this paper, a simple and novel fractional-order memristor circuit is established, which contains only resistance, inductance, capacitance and memristor. By using fractional calculus theory and the Adomian numerical algorithm, special bifurcations, chaotic degradation, C0 and Spectral Entropy (SE) complexity under one-dimensional and two-dimensional parameter variations with different orders, parameters and initial memristor values of the system were studied. Meanwhile, in order to better utilize the applications of fractional-order memristor systems in communication and security, a misalignment projection synchronization scheme for fractional-order systems is proposed, which overcomes the shortcomings of constructing Lyapunov functions for fractional-order systems to prove stability and designing controllers for the Laplace transform matrix.

Funder

Natural Science Basic Research Program of Shaanxi

Education Department of Shaanxi Provincial Government

Scientific Research Foundation of Xijing University

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/12/1125/pdf

Reference41 articles.

1. Memristor-the missing circuit element;Chua;IEEE Trans. Circuit Theory,1971

2. Memristive devices and systems;Chua;Proc. IEEE,1976

3. The missing memristor found;Strukov;Nature,2008

4. Photonic memristor for future computing: A perspective;Mao;Adv. Opt. Mater.,2019

5. Ghosh, P.K., Riam, S.Z., Ahmed, M.S., and Sundaravadivel, P. (2023). CMOS-Based Memristor Emulator Circuits for Low-Power Edge-Computing Applications. Electronics, 12.