Solving Zhou's chaotic system using Euler's method
An algorithm for Euler’s method is used to obtain an approximation for the initial-value problem for ordinary differential equation. This method is then employing to Zhou’s chaotic system. This system is a three-dimensional autonomous system according to the numerical simulation as well as the theo...
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Format: | Article |
Language: | English English |
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Mathematical Association of Thailand
2010
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Online Access: | http://psasir.upm.edu.my/id/eprint/16779/1/Solving%20Zhou.pdf |
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author | Mohd Roslan, Umuu ’Atiqah Salleh, Zabidin Kilicman, Adem |
author_facet | Mohd Roslan, Umuu ’Atiqah Salleh, Zabidin Kilicman, Adem |
author_sort | Mohd Roslan, Umuu ’Atiqah |
collection | UPM |
description | An algorithm for Euler’s method is used to obtain an approximation for the initial-value problem for ordinary differential equation. This method is then employing to Zhou’s chaotic system. This system is a three-dimensional
autonomous system according to the numerical simulation as well as the theoretical analysis. We use the C++ software to solve this system and MATLAB to plot the solutions and the results are given for different number of iterations |
first_indexed | 2024-03-06T07:38:26Z |
format | Article |
id | upm.eprints-16779 |
institution | Universiti Putra Malaysia |
language | English English |
last_indexed | 2024-03-06T07:38:26Z |
publishDate | 2010 |
publisher | Mathematical Association of Thailand |
record_format | dspace |
spelling | upm.eprints-167792015-10-21T08:07:20Z http://psasir.upm.edu.my/id/eprint/16779/ Solving Zhou's chaotic system using Euler's method Mohd Roslan, Umuu ’Atiqah Salleh, Zabidin Kilicman, Adem An algorithm for Euler’s method is used to obtain an approximation for the initial-value problem for ordinary differential equation. This method is then employing to Zhou’s chaotic system. This system is a three-dimensional autonomous system according to the numerical simulation as well as the theoretical analysis. We use the C++ software to solve this system and MATLAB to plot the solutions and the results are given for different number of iterations Mathematical Association of Thailand 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/16779/1/Solving%20Zhou.pdf Mohd Roslan, Umuu ’Atiqah and Salleh, Zabidin and Kilicman, Adem (2010) Solving Zhou's chaotic system using Euler's method. Thai Journal of Mathematics, 8 (2). pp. 299-309. ISSN 1686-0209 http://www.math.science.cmu.ac.th/thaijournal Initial value problems - Numerical solutions Differential equations - Numerical solutions Numerical analysis English |
spellingShingle | Initial value problems - Numerical solutions Differential equations - Numerical solutions Numerical analysis Mohd Roslan, Umuu ’Atiqah Salleh, Zabidin Kilicman, Adem Solving Zhou's chaotic system using Euler's method |
title | Solving Zhou's chaotic system using Euler's method |
title_full | Solving Zhou's chaotic system using Euler's method |
title_fullStr | Solving Zhou's chaotic system using Euler's method |
title_full_unstemmed | Solving Zhou's chaotic system using Euler's method |
title_short | Solving Zhou's chaotic system using Euler's method |
title_sort | solving zhou s chaotic system using euler s method |
topic | Initial value problems - Numerical solutions Differential equations - Numerical solutions Numerical analysis |
url | http://psasir.upm.edu.my/id/eprint/16779/1/Solving%20Zhou.pdf |
work_keys_str_mv | AT mohdroslanumuuatiqah solvingzhouschaoticsystemusingeulersmethod AT sallehzabidin solvingzhouschaoticsystemusingeulersmethod AT kilicmanadem solvingzhouschaoticsystemusingeulersmethod |