Some Novel Complex Dynamic Behaviors of a Class of Four-Dimensional Chaotic or Hyperchaotic Systems Based on a Meshless Collocation Method
In the field of complex systems, there is a need for better methods of knowledge discovery due to their nonlinear dynamics. The numerical simulation of chaotic or hyperchaotic system is mainly performed by the fourth-order Runge–Kutta method, and other methods are rarely reported in previous work. A...
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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/10.1155/2019/5034025 |
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| _version_ | 1832564166638960640 |
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| author | Du Mingjing Yulan Wang |
| author_facet | Du Mingjing Yulan Wang |
| author_sort | Du Mingjing |
| collection | DOAJ |
| description | In the field of complex systems, there is a need for better methods of knowledge discovery due to their nonlinear dynamics. The numerical simulation of chaotic or hyperchaotic system is mainly performed by the fourth-order Runge–Kutta method, and other methods are rarely reported in previous work. A new method, which divides the entire intervals into N equal subintervals based on a meshless collocation method, has been constructed in this paper. Some new complex dynamical behaviors are shown by using this new approach, and the results are in good agreement with those obtained by the fourth-order Runge–Kutta method. |
| format | Article |
| id | doaj-art-fe0f9892f75145dd9d9501459a4d65e6 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-fe0f9892f75145dd9d9501459a4d65e62025-02-03T01:11:44ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/50340255034025Some Novel Complex Dynamic Behaviors of a Class of Four-Dimensional Chaotic or Hyperchaotic Systems Based on a Meshless Collocation MethodDu Mingjing0Yulan Wang1Institute of Computer Information Management, Inner Mongolia University of Finance and Economics, Hohhot 010070, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaIn the field of complex systems, there is a need for better methods of knowledge discovery due to their nonlinear dynamics. The numerical simulation of chaotic or hyperchaotic system is mainly performed by the fourth-order Runge–Kutta method, and other methods are rarely reported in previous work. A new method, which divides the entire intervals into N equal subintervals based on a meshless collocation method, has been constructed in this paper. Some new complex dynamical behaviors are shown by using this new approach, and the results are in good agreement with those obtained by the fourth-order Runge–Kutta method.http://dx.doi.org/10.1155/2019/5034025 |
| spellingShingle | Du Mingjing Yulan Wang Some Novel Complex Dynamic Behaviors of a Class of Four-Dimensional Chaotic or Hyperchaotic Systems Based on a Meshless Collocation Method Complexity |
| title | Some Novel Complex Dynamic Behaviors of a Class of Four-Dimensional Chaotic or Hyperchaotic Systems Based on a Meshless Collocation Method |
| title_full | Some Novel Complex Dynamic Behaviors of a Class of Four-Dimensional Chaotic or Hyperchaotic Systems Based on a Meshless Collocation Method |
| title_fullStr | Some Novel Complex Dynamic Behaviors of a Class of Four-Dimensional Chaotic or Hyperchaotic Systems Based on a Meshless Collocation Method |
| title_full_unstemmed | Some Novel Complex Dynamic Behaviors of a Class of Four-Dimensional Chaotic or Hyperchaotic Systems Based on a Meshless Collocation Method |
| title_short | Some Novel Complex Dynamic Behaviors of a Class of Four-Dimensional Chaotic or Hyperchaotic Systems Based on a Meshless Collocation Method |
| title_sort | some novel complex dynamic behaviors of a class of four dimensional chaotic or hyperchaotic systems based on a meshless collocation method |
| url | http://dx.doi.org/10.1155/2019/5034025 |
| work_keys_str_mv | AT dumingjing somenovelcomplexdynamicbehaviorsofaclassoffourdimensionalchaoticorhyperchaoticsystemsbasedonameshlesscollocationmethod AT yulanwang somenovelcomplexdynamicbehaviorsofaclassoffourdimensionalchaoticorhyperchaoticsystemsbasedonameshlesscollocationmethod |