Dynamic analysis, circuit realization, control design and image encryption application of an extended Lu system with coexisting attractors

被引：150

作者：

Lai, Qiang ^{[1
]}

Norouzi, Benyamin ^{[2
]}

Liu, Feng ^{[3
]}

机构：

[1] East China Jiaotong Univ, Sch Elect & Automat Engn, Nanchang 330013, Jiangxi, Peoples R China

[2] Iran Univ Sci & Technol, Sch Elect Engn, Tehran 1684613114, Iran

[3] Harvard Med Sch, Massachusetts Gen Hosp, Dept Anesthesia Crit Care & Pain Med, Boston, MA 02114 USA

来源：

CHAOS SOLITONS & FRACTALS | 2018年 / 114卷

基金：

中国国家自然科学基金;

关键词：

An extended Lu system; Coexisting attractors; Bifurcation diagram; Equilibrium; Passive control; Initial value; Image encryption; CHAOTIC SYSTEM; HYPERCHAOTIC SYSTEM; MULTISTABILITY; IMPLEMENTATION; EQUIVALENCE; BIFURCATION; SCHEME; FLOWS;

D O I：

10.1016/j.chaos.2018.07.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper introduces an extended Lu system with coexisting attractors. The number and stability of equilibria are determined. The coexisting attractors of the system are displayed by the bifurcation diagrams, Lyapunov exponent spectrum, phase portraits. It is shown that the system has a pair of strange attractors, a pair of limit cycles, a pair of point attractors for different initial conditions. The circuit implementation of the chaotic attractor and coexisting attractors of the system are presented. The control problem of the system is studied as well. A controller is designed to stabilize the system to the origin and realize the switching between two chaotic attractors based on the passive control method. Moreover, a chaotic image encryption algorithm is proposed according to the system. The performance of the algorithm is numerically analyzed. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：230 / 245

页数：16

共 80 条

[1] Chaos-based engineering applications with a 3D chaotic system without equilibrium points [J].

Akgul, Akif ;

Calgan, Haris ;

Koyuncu, Ismail ;

Pehlivan, Ihsan ;

Istanbullu, Ayhan .

NONLINEAR DYNAMICS, 2016, 84 (02) :481-495

[2] Dynamical and fractal properties in periodically forced stretch-twist-fold (STF) flow [J].

Aqeel, Muhammad ;

Ahmad, Salman ;

Azam, Anam ;

Ahmed, Faizan .

EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (05)

[3] Chaotic behavior of modified stretch-twist-fold (STF) flow with fractal property [J].

Azam, Anam ;

Aqeel, Muhammad ;

Ahmad, Salman ;

Ahmad, Faizan .

NONLINEAR DYNAMICS, 2017, 90 (01) :1-12

[4] Coexisting infinitely many attractors in active band-pass filter-based memristive circuit [J].

Bao, Bocheng ;

Jiang, Tao ;

Xu, Quan ;

Chen, Mo ;

Wu, Huagan ;

Hu, Yihua .

NONLINEAR DYNAMICS, 2016, 86 (03) :1711-1723

[5] A Key Space Enhanced Chaotic Encryption Scheme for Physical Layer Security in OFDM-PON [J].

Bi, Meihua ;

Fu, Xiaosong ;

Zhou, Xuefang ;

Zhang, Lu ;

Yang, Guowei ;

Yang, XueLin ;

Xiao, Shilin ;

Hu, Weisheng .

IEEE PHOTONICS JOURNAL, 2017, 9 (01)

[6] PASSIVITY, FEEDBACK EQUIVALENCE, AND THE GLOBAL STABILIZATION OF MINIMUM PHASE NONLINEAR-SYSTEMS [J].

BYRNES, CI ;

ISIDORI, A ;

WILLEMS, JC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (11) :1228-1240

[7] A scheme for designing extreme multistable discrete dynamical systems [J].

Chakraborty, Priyanka .

PRAMANA-JOURNAL OF PHYSICS, 2017, 89 (03)

[8] Generating hyperchaotic Lu attractor via state feedback control [J].

Chen, AM ;

Lu, JN ;

Lü, JH ;

Yu, SM .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 364 :103-110

[9] Yet another chaotic attractor [J].

Chen, GR ;

Ueta, T .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466

[10] Passive control on a unified chaotic system [J].

Chen, Xiangrong ;

Liu, Chongxin .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (02) :683-687

← 1 2 3 4 5 6 7 8 →