Generating Multi-Wing Hidden Hyperchaotic Attractors With a Single Stable Equilibrium

被引：10

作者：

Yang, Yan ^{[1
]}

Huang, Lilian ^{[2
,3
]}

Yu, Xihong ^{[4
]}

Kuznetsov, Nikolay V. ^{[5
,6
]}

Lai, Qiang ^{[7
]}

机构：

[1] Harbin Engn Univ, Coll Informat & Commun Engn, Harbin 150001, Peoples R China

[2] Harbin Engn Univ, Coll Informat & Commun Engn, Key Lab Adv Marine Commun & Informat Technol, Minist Ind & Informat Technol, Harbin 150001, Peoples R China

[3] Harbin Engn Univ, Natl Key Lab Underwater Acoust Technol, Harbin 150001, Peoples R China

[4] Changzhou Univ, Sch Microelect & Control Engn, Changzhou 213164, Peoples R China

[5] St Petersburg State Univ, Fac Math & Mech, St Petersburg 199034, Russia

[6] Russian Acad Sci, Inst Problems Mech Engn, St Petersburg 199178, Russia

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

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2024年 / 71卷 / 04期

关键词：

Switches; Jacobian matrices; Chaotic communication; Trajectory; Phase modulation; Systematics; System dynamics; Hyperchaos; hidden attractor; multi-wing attractor; node-focus equilibrium; CHAOTIC SYSTEM;

D O I：

10.1109/TCSII.2023.3335096

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Multi-wing hyperchaotic systems with hidden attractors are recognized having advantages in certain aspects of complexity and unpredictability. However, for the hyperchaotic system with a single stable equilibrium point, the generated hidden attractor cannot be characterized by the local characteristic of the equilibrium point, which makes the generation of multi-wing hidden hyperchaotic attractors with only one stable equilibrium be a challenging work. In this brief, we present a systematic approach to generating multi-wing hidden hyperchaotic attractors from four-dimensional system with a single stable equilibrium, which is carried out by employing sawtooth wave to implement linear offset switch of the wings. Details of the numerical computation and experimental examination are presented to support the feasibility of the approach.

引用

页码：2374 / 2378

页数：5

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