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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| Subjects: | |
| Online Access: | http://psasir.upm.edu.my/id/eprint/16779/ http://psasir.upm.edu.my/id/eprint/16779/1/Solving%20Zhou.pdf |
| _version_ | 1848843057071390720 |
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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 |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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 | 2025-11-15T08:08:58Z |
| format | Article |
| id | upm-16779 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:08:58Z |
| publishDate | 2010 |
| publisher | Mathematical Association of Thailand |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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/ http://psasir.upm.edu.my/id/eprint/16779/ http://psasir.upm.edu.my/id/eprint/16779/1/Solving%20Zhou.pdf |