Special Session 5: Scientific Computation and Numerical Algorithms

A Class of Anti-Competitive 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 parameters, the corresponding map is anti-competitive and the square of the corresponding map is strongly competitive. We present a theorem that describes the global behavior of the solutions for all 112 systems of equations.