Controlling and synchronization in chaotic systems using parameter identification method
Abstract
In this manuscript, we investigate projective synchronization (PS) between identical chaotic new Hamiltonian systems based on Henon-Heiles Model using parameter identification method (PIM). Initially, Lyapunov’s ´ theory of stability is used to design the proper adaptive controllers in view of master-slave configuration to achieve the global asymptotic stability. Also, the proposed technique establishes identification of parameter simultaneously via PS scheme. Additionally, numerical simulations are performed using MATLAB software for visualizing the efficiency and feasibility of the proposed methodology. Furthermore, the discussed approach has numerous significant applications in encryption and secure communication.
Copyright © 2021 Ayub Khan, Anu Jain, Harindri Chaudhary. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
A. Khan, A. Jain, H. Chaudhary, Controlling and synchronization in chaotic systems using parameter identification method, J. Math. Comput. Sci. 11 (2021), 5780–5792. https://doi.org/10.28919/jmcs/6092
BibTeX
@article{Khan2021,
author = {Khan, Ayub and Jain, Anu and Chaudhary, Harindri},
title = {Controlling and synchronization in chaotic systems using parameter identification method},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {5780--5792},
doi = {10.28919/jmcs/6092}
}