Controlling Chaos in a Newly Designed Chaotic Hamiltonian System Based on Hénon-Heiles Model using Active Controlled Hybrid Projective Synchronization

Authors

  • T. Khan Department of Mathematics, Jamia Millia Islamia, New Delhi, India.
  • A. Khan Department of Mathematics, Jamia Millia Islamia, New Delhi, India
  • H. Chaudhary Department of Mathematics, Jamia Millia Islamia, New Delhi, India

DOI:

https://doi.org/10.3329/jsr.v13i2.49815

Abstract

In this paper, a systematic approach is designed for investigating the hybrid projective synchronization (HPS) in identical chaotic Hamiltonian systems based on Hénon-Heiles Model by using active control method (ACM). Initially, an active control law is described to achieve asymptotic stability of state vectors of given system using Lyapunov stability theory (LST). Additionally, numerical simulations utilizing MATLAB toolbox are presented to validate the efficiency and effectiveness of the designed approach. Furthermore, the proposed strategy has numerous applications in encryption and secure communication. 

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Published

2021-05-01

How to Cite

Khan, T., Khan, A., & Chaudhary, H. (2021). Controlling Chaos in a Newly Designed Chaotic Hamiltonian System Based on Hénon-Heiles Model using Active Controlled Hybrid Projective Synchronization. Journal of Scientific Research, 13(2), 415–421. https://doi.org/10.3329/jsr.v13i2.49815

Issue

Vol. 13 No. 2 (2021)

Section

Section A: Physical and Mathematical Sciences

License

© Journal of Scientific Research

Creative Commons License

Articles published in the "Journal of Scientific Research" are Open Access articles under a Creative Commons Attribution-ShareAlike 4.0 International license (CC BY-SA 4.0). This license permits use, distribution and reproduction in any medium, provided the original work is properly cited and initial publication in this journal. In addition to that, users must provide a link to the license, indicate if changes are made and distribute using the same license as original if the original content has been remixed, transformed or built upon.