Chaos Control and Anticontrol of the Output Duopoly Competing Evolution Model
In the process of social development, there are a lot of competitions and confrontations. Participants in these competitions and confrontations always have different interests and goals. In order to achieve their goals, the participants must consider the opponent’s strategy to adjust their own strat...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/4121635 |
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| _version_ | 1832558207745130496 |
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| author | Zhaoqing Li Yongping Zhang Tongqian Zhang |
| author_facet | Zhaoqing Li Yongping Zhang Tongqian Zhang |
| author_sort | Zhaoqing Li |
| collection | DOAJ |
| description | In the process of social development, there are a lot of competitions and confrontations. Participants in these competitions and confrontations always have different interests and goals. In order to achieve their goals, the participants must consider the opponent’s strategy to adjust their own strategies to achieve the interests of the optimization. This is called game. Based on the definition and its stability of the passive system, the passive control items are designed to the output of the duopoly competition evolution model, and the efficacy of the control methods is shown by the Lyapunov indexes. Then, the optimal function control method is taken to carry on the chaotic anticontrol to the chaotic system, and the Lyapunov indexes illustrate the control result. At last, the chaotic game of the system is introduced by combining the chaos control and anticontrol. |
| format | Article |
| id | doaj-art-df803f24a4004378925495efc7e62149 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-df803f24a4004378925495efc7e621492025-02-03T01:33:07ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/41216354121635Chaos Control and Anticontrol of the Output Duopoly Competing Evolution ModelZhaoqing Li0Yongping Zhang1Tongqian Zhang2School of Mathematics and Statistics, Shandong University, Weihai 264209, ChinaSchool of Mathematics and Statistics, Shandong University, Weihai 264209, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaIn the process of social development, there are a lot of competitions and confrontations. Participants in these competitions and confrontations always have different interests and goals. In order to achieve their goals, the participants must consider the opponent’s strategy to adjust their own strategies to achieve the interests of the optimization. This is called game. Based on the definition and its stability of the passive system, the passive control items are designed to the output of the duopoly competition evolution model, and the efficacy of the control methods is shown by the Lyapunov indexes. Then, the optimal function control method is taken to carry on the chaotic anticontrol to the chaotic system, and the Lyapunov indexes illustrate the control result. At last, the chaotic game of the system is introduced by combining the chaos control and anticontrol.http://dx.doi.org/10.1155/2017/4121635 |
| spellingShingle | Zhaoqing Li Yongping Zhang Tongqian Zhang Chaos Control and Anticontrol of the Output Duopoly Competing Evolution Model Discrete Dynamics in Nature and Society |
| title | Chaos Control and Anticontrol of the Output Duopoly Competing Evolution Model |
| title_full | Chaos Control and Anticontrol of the Output Duopoly Competing Evolution Model |
| title_fullStr | Chaos Control and Anticontrol of the Output Duopoly Competing Evolution Model |
| title_full_unstemmed | Chaos Control and Anticontrol of the Output Duopoly Competing Evolution Model |
| title_short | Chaos Control and Anticontrol of the Output Duopoly Competing Evolution Model |
| title_sort | chaos control and anticontrol of the output duopoly competing evolution model |
| url | http://dx.doi.org/10.1155/2017/4121635 |
| work_keys_str_mv | AT zhaoqingli chaoscontrolandanticontroloftheoutputduopolycompetingevolutionmodel AT yongpingzhang chaoscontrolandanticontroloftheoutputduopolycompetingevolutionmodel AT tongqianzhang chaoscontrolandanticontroloftheoutputduopolycompetingevolutionmodel |