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  4. Numerical analysis on chaos attractors using a backward difference formulation

Numerical analysis on chaos attractors using a backward difference formulation

MMC.
2022;
Volume 9, Number 4
: pp. 898–908
https://doi.org/10.23939/mmc2022.04.898
Received: August 11, 2022
Revised: October 29, 2022
Accepted: October 30, 2022

Mathematical Modeling and Computing, Vol. 9, No. 4, pp. 898–908 (2022)

Authors:
  1. A. F. N. Rasedee
  2. M. H. Abdul Sathar
  3. N. Mohd Najib
  4. T. J. Wong
  5. L. F. Koo
1
Faculty of Economics and Muamalat, Universiti Sains Islam Malaysia
2
The Centre of Foundation Studies for Agricultural Science, Universiti Putra Malaysia
3
Faculty of Economics and Muamalat, University Sains Islam Malaysia
4
Department of Science and Technology, Faculty of Humanities, Management and Science, Universiti Putra Malaysia
5
Department of Science and Technology, Faculty of Humanities, Management and Science, Universiti Putra Malaysia

The chaos attractor is a system of ordinary differential equations which is known for having chaotic solutions for certain parameter values and an initial condition.  Research conducted in the current work establishes a backward difference algorithm to study these chaos attractors.  Different types of chaos mapping, namely the Lorenz chaos, 'sandwich' chaos and 'horseshoe' chaos will be analyzed.  Compared to other numerical methods, the proposed backward difference algorithm will show to be an efficient tool for analyzing solutions for the chaos attractors.

applied mathematics
backward difference
chaos attractor
variable order step size
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