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Discrete Dynamics in Nature and Society
Volume 2017, Article ID 4121635, 13 pages
Research Article

Chaos Control and Anticontrol of the Output Duopoly Competing Evolution Model

1School of Mathematics and Statistics, Shandong University, Weihai 264209, China
2College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China

Correspondence should be addressed to Yongping Zhang; nc.ude.uds@gnahzpy

Received 4 July 2017; Revised 12 September 2017; Accepted 10 October 2017; Published 6 November 2017

Academic Editor: Rigoberto Medina

Copyright © 2017 Zhaoqing Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.