Numerical Simulation of a Class of Three-Dimensional Kolmogorov Model with Chaotic Dynamic Behavior by Using Barycentric Interpolation Collocation Method
This paper numerically simulates three-dimensional Kolmogorov model with chaotic dynamic behavior by barycentric Lagrange interpolation collocation method. Some numerical examples are studied for finding some new chaotic behaviors and demonstrating some existing chaotic dynamic behaviors of the Kolm...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/3426974 |
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| _version_ | 1850179715945463808 |
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| author | Mingjing Du Junmei Li Yulan Wang Wei Zhang |
| author_facet | Mingjing Du Junmei Li Yulan Wang Wei Zhang |
| author_sort | Mingjing Du |
| collection | DOAJ |
| description | This paper numerically simulates three-dimensional Kolmogorov model with chaotic dynamic behavior by barycentric Lagrange interpolation collocation method. Some numerical examples are studied for finding some new chaotic behaviors and demonstrating some existing chaotic dynamic behaviors of the Kolmogorov model. Results obtained by the present method indicate that the method has merits of small operations and good numerical stability. |
| format | Article |
| id | doaj-art-99a6e6ccbacd4446bdecce2cd7454440 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-99a6e6ccbacd4446bdecce2cd74544402025-08-20T02:18:25ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/34269743426974Numerical Simulation of a Class of Three-Dimensional Kolmogorov Model with Chaotic Dynamic Behavior by Using Barycentric Interpolation Collocation MethodMingjing Du0Junmei Li1Yulan Wang2Wei Zhang3Institute of Computer Information Management, Inner Mongolia University of Finance and Economics, Hohhot 010070, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaInstitute of Economics and Management, Jining Normal University, Jining 012000, Inner Mongolia, ChinaThis paper numerically simulates three-dimensional Kolmogorov model with chaotic dynamic behavior by barycentric Lagrange interpolation collocation method. Some numerical examples are studied for finding some new chaotic behaviors and demonstrating some existing chaotic dynamic behaviors of the Kolmogorov model. Results obtained by the present method indicate that the method has merits of small operations and good numerical stability.http://dx.doi.org/10.1155/2019/3426974 |
| spellingShingle | Mingjing Du Junmei Li Yulan Wang Wei Zhang Numerical Simulation of a Class of Three-Dimensional Kolmogorov Model with Chaotic Dynamic Behavior by Using Barycentric Interpolation Collocation Method Complexity |
| title | Numerical Simulation of a Class of Three-Dimensional Kolmogorov Model with Chaotic Dynamic Behavior by Using Barycentric Interpolation Collocation Method |
| title_full | Numerical Simulation of a Class of Three-Dimensional Kolmogorov Model with Chaotic Dynamic Behavior by Using Barycentric Interpolation Collocation Method |
| title_fullStr | Numerical Simulation of a Class of Three-Dimensional Kolmogorov Model with Chaotic Dynamic Behavior by Using Barycentric Interpolation Collocation Method |
| title_full_unstemmed | Numerical Simulation of a Class of Three-Dimensional Kolmogorov Model with Chaotic Dynamic Behavior by Using Barycentric Interpolation Collocation Method |
| title_short | Numerical Simulation of a Class of Three-Dimensional Kolmogorov Model with Chaotic Dynamic Behavior by Using Barycentric Interpolation Collocation Method |
| title_sort | numerical simulation of a class of three dimensional kolmogorov model with chaotic dynamic behavior by using barycentric interpolation collocation method |
| url | http://dx.doi.org/10.1155/2019/3426974 |
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