The dynamics of a business game: A 2D-piecewise smooth nonlinear map‏

Journal Article
, SS Askar, A Al-khedhairi . 2020
المجلة \ الصحيفة: 
Physica A: Statistical Mechanics and its Applications
رقم العدد: 
537
رقم الإصدار السنوي: 
January 2020
الصفحات: 
122766
مستخلص المنشور: 

In this paper, we give a proper investigation of the problem of remanufacturing duopoly game. A smooth piecewise map is introduced to describe such game. A rich analysis either analytical or numerical is presented in this paper in order to investigate the stability of the fixed points of the game’s model. Our obtained results show that those fixed points lose its stability due to flip and Neimark-Sacker border bifurcations. Furthermore, we study the stability of those points when there are periodic cycles with points jump from region to other region.