Qualitative Study of a 4D Chaos Financial System
Some dynamics of a new 4D chaotic system describing the dynamical behavior of the finance are considered. Ultimate boundedness and global attraction domain are obtained according to Lyapunov stability theory. These results are useful in estimating the Lyapunov dimension of attractors, Hausdorff dime...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/3789873 |
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| _version_ | 1832562645019918336 |
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| author | Fuchen Zhang Gaoxiang Yang Yong Zhang Xiaofeng Liao Guangyun Zhang |
| author_facet | Fuchen Zhang Gaoxiang Yang Yong Zhang Xiaofeng Liao Guangyun Zhang |
| author_sort | Fuchen Zhang |
| collection | DOAJ |
| description | Some dynamics of a new 4D chaotic system describing the dynamical behavior of the finance are considered. Ultimate boundedness and global attraction domain are obtained according to Lyapunov stability theory. These results are useful in estimating the Lyapunov dimension of attractors, Hausdorff dimension of attractors, chaos control, and chaos synchronization. We will also present some simulation results. Furthermore, the volumes of the ultimate bound set and the global exponential attractive set are obtained. |
| format | Article |
| id | doaj-art-edc1fd71489a4762943bae189bcb152f |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-edc1fd71489a4762943bae189bcb152f2025-02-03T01:22:09ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/37898733789873Qualitative Study of a 4D Chaos Financial SystemFuchen Zhang0Gaoxiang Yang1Yong Zhang2Xiaofeng Liao3Guangyun Zhang4College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaSchool of Mathematics and Statistics, Ankang University, Shaanxi 725000, ChinaCollege of Mathematics and Statistics, Henan Polytechnic Institute, Nanyang 473000, ChinaCollege of Electronic and Information Engineering, Southwest University, Chongqing 400716, ChinaCollege of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaSome dynamics of a new 4D chaotic system describing the dynamical behavior of the finance are considered. Ultimate boundedness and global attraction domain are obtained according to Lyapunov stability theory. These results are useful in estimating the Lyapunov dimension of attractors, Hausdorff dimension of attractors, chaos control, and chaos synchronization. We will also present some simulation results. Furthermore, the volumes of the ultimate bound set and the global exponential attractive set are obtained.http://dx.doi.org/10.1155/2018/3789873 |
| spellingShingle | Fuchen Zhang Gaoxiang Yang Yong Zhang Xiaofeng Liao Guangyun Zhang Qualitative Study of a 4D Chaos Financial System Complexity |
| title | Qualitative Study of a 4D Chaos Financial System |
| title_full | Qualitative Study of a 4D Chaos Financial System |
| title_fullStr | Qualitative Study of a 4D Chaos Financial System |
| title_full_unstemmed | Qualitative Study of a 4D Chaos Financial System |
| title_short | Qualitative Study of a 4D Chaos Financial System |
| title_sort | qualitative study of a 4d chaos financial system |
| url | http://dx.doi.org/10.1155/2018/3789873 |
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