Special Session 6: Special session on Fractal Geometry, Dynamical Systems, and Their Applications
Rational-Linear Anticompetitive Systems of Difference Equations
Chris D Lynd
Bloomsburg University USA
Co-Author(s):
Abstract:
There are 112 systems of two rational-linear difference equations where, for all positive values of the parameters, the corresponding map is anticompetitive and the square of the map is strongly competitive. We present a theorem that describes the global behavior of the solutions for all 112 systems.