Dynamic Analysis of a Simple Cournot Duopoly Model Based on a Computed Cost
+e paper is organized to study some mathematical properties and dynamics of a simple Cournot duopoly game based on
a computed quadratic cost. +e time evolution of this game is described by a two-dimensional noninvertible discrete time map
using the bounded rationality mechanism. For this map, some dynamic characteristics such as multistability and synchronization
are investigated. Its equilibrium points are obtained for the asymmetric case, and their conditions of stability are obtained. Our
results investigate that the Nash equilibrium point may be unstable due to 4ip bifurcation and under certain parameter values, and
Neimark–Sacker bifurcation is born after the period-4 cycle. +rough some restrictions, the coordinate axes of the map construct
an invariant manifold, and therefore, their dynamics can be analyzed by using a one-dimensional map. In the symmetric case,
both 7rms behave identically, and this implies that the diagonal set forms an invariant manifold, and hence the synchronization
phenomena take place. Furthermore, the global bifurcation of the map is con7rmed through contact between critical curves and
the boundaries of infeasible domains.
This paper investigates nonlinear transient bending characteristics of sandwich doubly curved panels under
transient loading which is extensively used in aerospace structures. Due to the…
+e paper is organized to study some mathematical properties and dynamics of a simple Cournot duopoly game based on
a computed quadratic cost. +e time evolution of this game is described by a…
The parameter identification problem of photovoltaic (PV) models is classified as a complex nonlinear
optimization problem that cannot be accurately solved by traditional techniques.…