Anti-synchronization Scheme for the Stability Analysis of a Newly Designed Hamiltonian Chaotic System Based on Henon-Heiles Model Using Adaptive Control Method

被引：0
|
作者：
Khan, Ayub [1 ]
Jain, Anu [2 ]
Kaushik, Santosh [3 ]
Kumar, Manoj [4 ]
Chaudhary, Harindri [1 ]
机构：
[1] Jamia Millia Islamia, Dept Math, Delhi, India
[2] Univ Delhi, Lakshmibai Coll, Dept Math, Delhi, India
[3] Univ Delhi, Bhagini Nivedita Coll, Dept Math, Delhi, India
[4] Univ Delhi, Deshbandhu Coll, Dept Math, Delhi, India
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2021年 / 16卷 / 01期
关键词：
Adaptive control; Anti-synchronization; Chaotic system; Lyapunov stability theory; MATLAB;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a systematic approach to investigate the anti-synchronization among identical Hamiltonian chaotic systems has been proposed by using adaptive control method (ACM). Initially an adaptive controller and parameter update law are described to achieve asymptotical stability of state variables of given system with uncertain parameters using Lyapunov stability theory (LST). In addition, numerical simulations using MATLAB software are performed to validate the efficacy and effectiveness of the designed technique. Moreover, the proposed technique has numerous applications in encryption and secure communication.
引用
收藏
页码：752 / 761
页数：10
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