Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System
This paper centres on the application of the new piecewise successive linearization method (PSLM) in solving the chaotic and nonchaotic Chen system. Numerical simulations are presented graphically and comparison is made between the PSLM and Runge-Kutta-based methods. The work shows that the proposed...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/258948 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832565095575584768 |
|---|---|
| author | S. S. Motsa Y. Khan S. Shateyi |
| author_facet | S. S. Motsa Y. Khan S. Shateyi |
| author_sort | S. S. Motsa |
| collection | DOAJ |
| description | This paper centres on the application of the new piecewise successive linearization method (PSLM) in solving the chaotic and nonchaotic Chen system. Numerical simulations are presented graphically and comparison is made between the PSLM and Runge-Kutta-based methods. The work shows that the proposed method provides good accuracy and can be easily extended to other dynamical systems including those that are chaotic in nature. |
| format | Article |
| id | doaj-art-4c066b8fc2f547f29e45a9b7c29b87e9 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4c066b8fc2f547f29e45a9b7c29b87e92025-02-03T01:09:30ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/258948258948Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic SystemS. S. Motsa0Y. Khan1S. Shateyi2School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Pietermaritzburg, Scottsville 3209, South AfricaDepartment of Mathematics, Zhejiang University, Hangzhou 310027, ChinaDepartment of Mathematics, University of Venda, Private Bag X5050, Thohoyandou 0950, South AfricaThis paper centres on the application of the new piecewise successive linearization method (PSLM) in solving the chaotic and nonchaotic Chen system. Numerical simulations are presented graphically and comparison is made between the PSLM and Runge-Kutta-based methods. The work shows that the proposed method provides good accuracy and can be easily extended to other dynamical systems including those that are chaotic in nature.http://dx.doi.org/10.1155/2012/258948 |
| spellingShingle | S. S. Motsa Y. Khan S. Shateyi Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System Journal of Applied Mathematics |
| title | Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System |
| title_full | Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System |
| title_fullStr | Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System |
| title_full_unstemmed | Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System |
| title_short | Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System |
| title_sort | application of piecewise successive linearization method for the solutions of the chen chaotic system |
| url | http://dx.doi.org/10.1155/2012/258948 |
| work_keys_str_mv | AT ssmotsa applicationofpiecewisesuccessivelinearizationmethodforthesolutionsofthechenchaoticsystem AT ykhan applicationofpiecewisesuccessivelinearizationmethodforthesolutionsofthechenchaoticsystem AT sshateyi applicationofpiecewisesuccessivelinearizationmethodforthesolutionsofthechenchaoticsystem |