Numerical Simulation of a Class of Hyperchaotic System Using Barycentric Lagrange Interpolation Collocation Method
Hyperchaotic system, as an important topic, has become an active research subject in nonlinear science. Over the past two decades, hyperchaotic system between nonlinear systems has been extensively studied. Although many kinds of numerical methods of the system have been announced, simple and effici...
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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/10.1155/2019/1739785 |
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| author | Xiaofei Zhou Junmei Li Yulan Wang Wei Zhang |
| author_facet | Xiaofei Zhou Junmei Li Yulan Wang Wei Zhang |
| author_sort | Xiaofei Zhou |
| collection | DOAJ |
| description | Hyperchaotic system, as an important topic, has become an active research subject in nonlinear science. Over the past two decades, hyperchaotic system between nonlinear systems has been extensively studied. Although many kinds of numerical methods of the system have been announced, simple and efficient methods have always been the direction that scholars strive to pursue. Based on this problem, this paper introduces another novel numerical method to solve a class of hyperchaotic system. Barycentric Lagrange interpolation collocation method is given and illustrated with hyperchaotic system (x˙=ax+dz-yz,y˙=xz-by, 0≤t≤T,z˙=cx-z+xy,w˙=cy-w+xz,) as examples. Numerical simulations are used to verify the effectiveness of the present method. |
| format | Article |
| id | doaj-art-6c876633dd3641a99833fc458cd0310e |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-6c876633dd3641a99833fc458cd0310e2025-02-03T05:46:30ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/17397851739785Numerical Simulation of a Class of Hyperchaotic System Using Barycentric Lagrange Interpolation Collocation MethodXiaofei Zhou0Junmei Li1Yulan Wang2Wei Zhang3Institute of Economics and Management, Jining Normal University, Jining 012000, Inner Mongolia, 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, ChinaHyperchaotic system, as an important topic, has become an active research subject in nonlinear science. Over the past two decades, hyperchaotic system between nonlinear systems has been extensively studied. Although many kinds of numerical methods of the system have been announced, simple and efficient methods have always been the direction that scholars strive to pursue. Based on this problem, this paper introduces another novel numerical method to solve a class of hyperchaotic system. Barycentric Lagrange interpolation collocation method is given and illustrated with hyperchaotic system (x˙=ax+dz-yz,y˙=xz-by, 0≤t≤T,z˙=cx-z+xy,w˙=cy-w+xz,) as examples. Numerical simulations are used to verify the effectiveness of the present method.http://dx.doi.org/10.1155/2019/1739785 |
| spellingShingle | Xiaofei Zhou Junmei Li Yulan Wang Wei Zhang Numerical Simulation of a Class of Hyperchaotic System Using Barycentric Lagrange Interpolation Collocation Method Complexity |
| title | Numerical Simulation of a Class of Hyperchaotic System Using Barycentric Lagrange Interpolation Collocation Method |
| title_full | Numerical Simulation of a Class of Hyperchaotic System Using Barycentric Lagrange Interpolation Collocation Method |
| title_fullStr | Numerical Simulation of a Class of Hyperchaotic System Using Barycentric Lagrange Interpolation Collocation Method |
| title_full_unstemmed | Numerical Simulation of a Class of Hyperchaotic System Using Barycentric Lagrange Interpolation Collocation Method |
| title_short | Numerical Simulation of a Class of Hyperchaotic System Using Barycentric Lagrange Interpolation Collocation Method |
| title_sort | numerical simulation of a class of hyperchaotic system using barycentric lagrange interpolation collocation method |
| url | http://dx.doi.org/10.1155/2019/1739785 |
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