Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2024
  • Volume: 16
  • Issue: 2

Controlling chaos by using modified-mann iterative procedure

1Mathematics Department, Baba Mastnath University, Asthal Bohar, Rohtak-124001, India

2Mathematics Department, Government College, Satnali, Mahendergarh-123024, India

*Email monikachauhan199530@gmail.com

**akrmsc@gmail.com

***poojabudhiraja@bmu.ac.in

Online published on 3 January, 2025.

Abstract

Due to the large number of applications of chaos controlling in nonlinear dynamical system, we focused on the control of chaos in this article. Here, a method of controlling is used in which we determine the range of control parameters used in iteration techniques. In this reference, Modified-Mann iteration is used for controlling chaos which contains two control parameters k and α . To establish this objective, experimentally and theoretically solutions are discussed briefly. Lyapunov exponent is also used to find out the regularity and irregularity of trajectories in the iterative procedure. All of these results are driven with the help of a software MATLAB.

Keywords

Modified-Mann iteration, Lyapunov exponent, Stability, Controlling chaos and dynamical system