EXPONENTIAL SYNCHRONIZATION OF CHAOTIC NOVEL HAMILTONIAN SYSTEMS VIA ACTIVE CONTROLLING STRATEGY
By
Ketki Singh1 , Harindri Chaudhary2 , Uzma Nigar3 and Susheel Kumar4
1Department of Applied Mathematics, Amity University, Noida, Uttar Pradesh, India-201313
2Department of Mathematics, Deshbandhu College, University of Delhi, New Delhi, India-110019
3Department of Mathematics, Jamia Millia Islamia, New Delhi, India-110025
4(Corresponding author) Department of Mathematics, Deshbandhu College, University of Delhi, New Delhi, India-110019
Email: ketkisingh007@gmail.com, harindri20dbc@gmail.com, uzmanigarkhan@gmail.com, skahalawatt@gmail.com
(Received: March 21, 2023; In format: September 09, 2023; Revised: July 07, 2024; Accepted: December 10, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54229
Abstract
This article focuses on investigating complete synchronization technique (CST) in identical chaotic novel Hamiltonian models via active controlling strategy (ACS). Firstly, Lyapunov’s criterion of stability (LCS) and master-slave framework have been utilized for designing the appropriate active control functions to attain the exponential and global stability. Hamiltonian chaotic systems are conservative chaotic systems which arise in many applications in Classical Mechanics because conservative chaotic systems are better suited for secure communication based on chaos as opposed to dissipative chaotic systems. In addition, numerical simulation outcomes are displayed via MATLAB environment for visualizing the efficacy as well as superiority of proposed approach.
2020 Mathematical Sciences Classification: 47A16, 47A15,80A21, 80A32.
Keywords: Complete synchronization, chaotic system, active control, Lyapunov stability, Hamiltonian system, MATLAB