STABILITY ANALYSIS OF CHAOTIC NEW HAMILTONIAN
SYSTEM BASED ON HÉNON-HEILES MODEL
USING ADAPTIVE CONTROLLED HYBRID
PROJECTIVE SYNCHRONIZATION
Ayub Khan, Harindri Chaudhary2
1Department of Mathematics
Jamia Millia Islamia, INDIA
2Department of Mathematics
Jamia Millia Islamia, INDIA
and
Department of Mathematics
Deshbandhu College (University of Delhi), INDIA

Abstract

This research article deals with a systematic approach to investigate hybrid projective synchronization among identical new chaotic Hamiltonian systems using adaptive control method. First, nonlinear adaptive controllers are designed to estimate the unknown parameters of the given system and also to attain the stability criteria of the error dynamics of the system. Second, the required hybrid projective synchronization in the considered identical systems via adaptive control method is achieved by using Lyapunov stability theory. Additionally, numerical simulations are conducted using MATLAB software to show the efficient performances of the proposed adaptive controller design. Remarkably, both the analytical as well as computational results are in excellent agreement. Moreover, the considered technique has many applications in the field of secure communication and image encryption.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 34
Issue: 4
Year: 2021

DOI: 10.12732/ijam.v34i4.15

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