Anti-synchronization phenomenon of discrete chaotic maps using linear transformations

被引：3

作者：

Khan, Mohammad Ali ^{[1
,2
]}

Mazumdar, Himadri Pai ^{[1
,2
]}

Jabeen, Syeda Darakhshan ^{[3
]}

机构：

[1] Ramananda Coll, Dept Math, Bankura 722122, W Bengal, India

[2] Indian Stat Inst, Phys & Appl Math Unit, Kolkata 700108, W Bengal, India

[3] Birla Inst Technol, Dept Math, Ranchi 835215, Jharkhand, India

来源：

JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES | 2020年 / 41卷 / 08期

关键词：

Chaos; Chaotic system; Generalized anti-synchronization(GAS); Henon map; GENERALIZED SYNCHRONIZATION; SYSTEM;

D O I：

10.1080/02522667.2017.1321766

中图分类号：

G25 [图书馆学、图书馆事业]; G35 [情报学、情报工作];

学科分类号：

1205 ; 120501 ;

摘要：

This paper develops the theory of generalized anti-synchronization (GAS) of discrete chaotic Henon maps via linear transformations. This anti-synchronization method is based on the stability criteria of the linear system. The necessary and sufficient condition of GAS of chaotic maps using linear transformation is established. This paper suggests a method to study GAS through linear transformation in drive-response system. Our proposed method is able to find the relationship between the drive variables and response variables after antisynchronization.

引用

页码：1757 / 1769

页数：13

共 50 条

[31] Study of Generalized Synchronization and Anti-synchronization Between Different Dimensional Fractional-Order Chaotic Systems with Uncertainties
Shukla, Vijay K.
Joshi, Mahesh C.
Rajchakit, Grienggrai
Chakrabarti, Prasun
Jirawattanapanit, Anuwat
Mishra, Prashant K.
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2023,
[32] Linear generalized synchronization of chaotic systems by using white noise
Hu Ai-Hua
Xu Zhen-Yuan
ACTA PHYSICA SINICA, 2007, 56 (06) : 3132 - 3136
[33] Adaptive Control Design for A Class of Uncertain Time-Varying Anti-synchronization Chaotic Systems
Lei, Lin
Xiang, Wei
Zhu, Fang
2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2010, : 4942 - 4947
[34] Anti-synchronization between identical and non-identical fractional-order chaotic systems using active control method
M. Srivastava
S. P. Ansari
S. K. Agrawal
S. Das
A. Y. T. Leung
Nonlinear Dynamics, 2014, 76 : 905 - 914
[35] Chaos anti-synchronization of two non-identical chaotic systems with known or fully unknown parameters
Al-Sawalha, Ayman
CHAOS SOLITONS & FRACTALS, 2009, 42 (03) : 1926 - 1932
[36] A Novel Sliding Controller Design for the Anti-Synchronization of Identical Four-Scroll Novel Chaotic Systems
Vaidyanathan, Sundarapandian
Sampath, Sivaperumal
2014 IEEE INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND COMPUTING RESEARCH (IEEE ICCIC), 2014, : 416 - 419
[37] Aperiodic Sampled-Data Control for Anti-Synchronization of Chaotic Nonlinear Systems Subject to Input Saturation
Li, Meixuan
Fan, Yingjie
AXIOMS, 2023, 12 (04)
[38] Terminal sliding mode control for anti-synchronization of chaotic systems containing dead-zone nonlinearity
Fang, Liyou
Li, Tieshan
2014 INTERNATIONAL CONFERENCE ON MECHATRONICS AND CONTROL (ICMC), 2014, : 230 - 232
[39] Anti-Synchronization of a Class of Delayed Chaotic Neural Networks Via State or Non-State Coupling
Ma, Chao
Wang, Xingyuan
Tian, Yujuan
CHINESE JOURNAL OF PHYSICS, 2011, 49 (06) : 1273 - 1285
[40] Anti-Synchronization of a Class of Chaotic Systems with Application to Lorenz System: A Unified Analysis of the Integer Order and Fractional Order
Chen, Liang
Huang, Chengdai
Liu, Haidong
Xia, Yonghui
MATHEMATICS, 2019, 7 (06)

← 1 2 3 4 5 →