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.
Khan, Ayub; Jain, Anu; Kaushik, Santosh; Kumar, Manoj; and Chaudhary, Harindri
Anti-synchronization Scheme for the Stability Analysis of a Newly Designed Hamiltonian Chaotic System Based on Hénon-Heiles Model Using Adaptive Control Method,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 16,
1, Article 42.
Available at: https://digitalcommons.pvamu.edu/aam/vol16/iss1/42