Neimark–Sacker bifurcation and the generate cases of Kopel oligopoly model with different adjustment speed

Advances in Difference Equations

article

Li, Bo¹  He, Qizhi²  Chen, Ruoyu¹ 

[1] Business School, Nanjing University;School of Finance, Anhui University of Finance and Economics

关键词: Kopel model;    Adjustment speed;    Neimark–Sacker bifurcation;    13 and 14 resonances;    Homoclinic orbits;   

DOI  :  10.1186/s13662-020-02545-9

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, bifurcations and chaotic behaviours of Kopel oligopoly model with different adjustment speed are discussed. The results imply that the Kopel oligopoly model undergoes flip bifurcation, Neimark–Sacker bifurcation, 1:3 and 1:4 resonances, which could induce complex dynamics, especially global behaviours between different orbits. The conditions for the occurrence of three different kinds of bifurcation are derived. Furthermore, the numerical simulations provide us the case study of theoretical analysis and the corresponding dynamical behaviours, especially the occurrence of global orbits.

【 授权许可】

CC BY