期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 426, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.cam.2023.115089
关键词
Kopel triopoly model; Bifurcation continuation; Two-dimensional bifurcation diagram; Neimark-Sacker bifurcation
This paper presents a novel type of generalized Kopel triopoly model to reveal the complex dynamics and transitions between different dynamic behaviors. The construction process of the model is explained in detail based on microeconomic theory. The existence and stability of fixed points are derived and the corresponding transition processes are presented clearly for some fixed parameters. Numerical simulations are conducted to derive representative orbits, chaotic indicators, Lyapunov exponents, and bifurcation continuation, revealing the complexity of the Kopel triopoly game and corresponding mechanisms.
In this paper, a novel type of generalized Kopel triopoly model is presented to reveal the complex dynamics and transitions between different dynamic behaviors. First, based on microeconomic theory, the construction process of the Kopel triopoly model is explained in detail. Second, the existence and stability of fixed points are derived and the corresponding transition processes are presented clearly for some fixed parameters. Bifurcation sets and the critical normal forms of different types of bifurcations are computed to detect possible dynamics. Finally, numerical simulations are conducted to derive representative orbits, chaotic indicators, Lyapunov exponents, bifurcation continuation, and one- (two-) dimensional parameter spaces for the triopoly model. For example, periodic structures are presented with the numbers of corresponding periods. Some of the derived periodic orbits and Lyapunov exponents are plotted to highlight potentially stable and unstable dynamic behaviors. The results demonstrate the complexity of the Kopel triopoly game and corresponding mechanisms. (c) 2023 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据