期刊
COMPLEXITY
卷 2020, 期 -, 页码 -出版社
WILEY-HINDAWI
DOI: 10.1155/2020/4580415
关键词
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资金
- Talents' Innovation and Entrepreneurship Project of Lanzhou City [2015RC-3]
- Young Scholars Science Foundation of Lanzhou Jiaotong University [2015029]
- Foundation of Humanities and Social Sciences from the Ministry of Education of China [15YJC820007]
In this paper, a mixed duopoly dynamic model with bounded rationality is built, where a public-private joint venture and a private enterprise produce homogeneous products and compete in the same market. The purpose of this research is to study the stability and the multistability of the established model. The local stability of all the equilibrium points is discussed by using Jury condition, and the stability region of the Nash equilibrium point has been given. A special fractal structure called hub of periodicity has been found in the two-parameter space by numerical simulation. In addition, the phenomena of multistability (also called coexistence of multiple attractors) are also studied using basins of attraction and 1-D bifurcation diagrams with adiabatic initial conditions. We find that there are two different coexistences of multiple attractors. And, the fractal structure of the attracting basin is also analyzed, and the formation mechanisms of holes and contact bifurcation have been revealed. At last, the long-term profits of the enterprises are studied. We find that some enterprises can even make more profits under a chaotic circumstance.
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