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Numerical analysis on chaos attractors using a backward difference formulation


Citation

Rasedee, A. F. N. and Abdul Sathar, M. H. and Mohd Najib, N. and Wong, T. J. and Koo, L. F. (2022) Numerical analysis on chaos attractors using a backward difference formulation. Mathematical Modeling and Computing, 9 (4). 898 - 908. ISSN 2312-9794; ESSN: 2415-3788

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Centre of Foundation Studies for Agricultural Science
Faculty of Humanities, Management and Science
DOI Number: https://doi.org/10.23939/mmc2022.04.898
Publisher: Lviv Polytechnic National University
Keywords: Applied mathematics; Backward difference; Chaos attractor; Variable order step; Size
Depositing User: Ms. Che Wa Zakaria
Date Deposited: 11 Jul 2023 03:59
Last Modified: 11 Jul 2023 03:59
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.23939/mmc2022.04.898
URI: http://psasir.upm.edu.my/id/eprint/102336
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