A simple fractional-order chaotic system based on memristor and memcapacitor and its synchronization application

被引：56
作者：
Akgul, Akif [1 ]
Rajagopal, Karthikeyan [2 ]
Durdu, Ali [3 ]
Pala, Muhammed Ali [4 ]
Boyraz, omer Faruk [5 ]
Yildiz, Mustafa Zahid [4 ]
机构：
[1] Hitit Univ, Fac Engn, Dept Comp Engn, TR-19030 Corum, Turkey
[2] Chennai Inst Technol, Ctr Nonlinear Syst, Chennai, Tamil Nadu, India
[3] Social Sci Univ Ankara, Management Informat Syst, Dept Business Adm, Fac Polit Sci, TR-06050 Ankara, Turkey
[4] Sakarya Univ Appl Sci, Fac Technol, Dept Elect & Elect Engn, TR-54050 Sakarya, Turkey
[5] Anadolu Isuzu Automotive Ind & Trade Inc, Res & Dev Ctr, Kocaeli, Turkey
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 152卷
关键词：
Chaos; Fractional-order chaotic systems; Memcapacitor and memristor; Dynamical analysis; Synchronization application; ESCAPE TIME; ATTRACTOR; CIRCUIT; DYNAMICS; DESIGN; NOISE;
D O I：
10.1016/j.chaos.2021.111306
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Memelements play an important part in the design of high density memory systems and low power memory. In this paper, we created a novel fractional-order chaotic circuit with a memristor and a memcapacitor with a linear inductor. The various dynamical properties of the fractional-order system are investigated by using some dynamic analysis methods like Lyapunov exponents and bifurcation after the numerical solution for the fractional-order system. In addition, to show the applicative advantages of the proposed chaotic system, we have realized about the synchronization of fractional-order chaotic systems and used it in secure communication systems first time in the literature according to our knowledge. The results of the theoretical analysis and simulation show that the simple fractional-order chaotic system has very rich dynamic properties and can be used in different engineering applications. (c) 2021 Elsevier Ltd. All rights reserved.
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页数：11
相关论文
共 61 条
[1]   A memristor crossbar array of titanium oxide for non-volatile memory and neuromorphic applications [J].
Abbas, Haider ;
Abbas, Yawar ;
Truong, Son Ngoc ;
Min, Kyeong-Sik ;
Park, Mi Ra ;
Cho, Jongweon ;
Yoon, Tae-Sik ;
Kang, Chi Jung .
SEMICONDUCTOR SCIENCE AND TECHNOLOGY, 2017, 32 (06)
[2]   Hidden extreme multistability in memristive hyperchaotic system [J].
Bao, B. C. ;
Bao, H. ;
Wang, N. ;
Chen, M. ;
Xu, Q. .
CHAOS SOLITONS & FRACTALS, 2017, 94 :102-111
[3]   Uhlmann curvature in dissipative phase transitions [J].
Carollo, Angelo ;
Spagnolo, Bernardo ;
Valenti, Davide .
SCIENTIFIC REPORTS, 2018, 8
[4]   MEMRISTOR - MISSING CIRCUIT ELEMENT [J].
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05) :507-+
[5]   Spatio-temporal behaviour of the deep chlorophyll maximum in Mediterranean Sea: Development of a stochastic model for picophytoplankton dynamics [J].
Denaro, G. ;
Valenti, D. ;
La Cognata, A. ;
Spagnolo, B. ;
Bonanno, A. ;
Basilone, G. ;
Mazzola, S. ;
Zgozi, S. W. ;
Aronica, S. ;
Brunet, C. .
ECOLOGICAL COMPLEXITY, 2013, 13 :21-34
[6]   Dynamics of Two Picophytoplankton Groups in Mediterranean Sea: Analysis of the Deep Chlorophyll Maximum by a Stochastic Advection-Reaction-Diffusion Model [J].
Denaro, Giovanni ;
Valenti, Davide ;
Spagnolo, Bernardo ;
Basilone, Gualtiero ;
Mazzola, Salvatore ;
Zgozi, Salem W. ;
Aronica, Salvatore ;
Bonanno, Angelo .
PLOS ONE, 2013, 8 (06)
[7]   Analysis of fractional differential equations [J].
Diethelm, K ;
Ford, NJ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 265 (02) :229-248
[8]  
Diethelm K., 1997, ELECTRON T NUMER ANA, V5, P1
[9]   Hybrid dual-complementary metal-oxide-semiconductor/memristor synapse-based neural network with its applications in image super-resolution [J].
Dong, Zhekang ;
Lai, Chun Sing ;
He, Yufei ;
Qi, Donglian ;
Duan, Shukai .
IET CIRCUITS DEVICES & SYSTEMS, 2019, 13 (08) :1241-1248
[10]   Acceleration of diffusion in randomly switching potential with supersymmetry [J].
Dubkov, AA ;
Spagnolo, B .
PHYSICAL REVIEW E, 2005, 72 (04)
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