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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Main Authors: Mohd Roslan, Umuu ’Atiqah, Salleh, Zabidin, Kilicman, Adem
Format: Article
Language:English
English
Published: Mathematical Association of Thailand 2010
Subjects:
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
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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
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AT sallehzabidin solvingzhouschaoticsystemusingeulersmethod
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