“Mathematica” as a tool for characterization and comparison of one parameter families of square mappings as dynamic systems

Comprehensive analysis and comparison of mappings as dynamical systems can be implemented with support of mathematical software. The most commonly used mathematical software that gives good results in the theory of dynamical systems, respectively in teaching and in scientific research is “Mathematica”. In this paper we are going to use “Mathematica” for characterization and comparison of one parameter families of square mappings as dynamic systems. Their behavior will be viewed through the prism of the fixed points, finding and analyzing periodic points with period 2 and analysis of their bifurcation diagrams depending on the changing of real parameter.