Author: Seytov, Sh.J.; Okhunova, M.O.

Annotation: This paper has presented a thorough exploration of quadratic mappings within two-dimensional dynamical systems, employing a novel geometric approach known as graphical analysis. Through this method, we have gained valuable insights into the behavior of orbits, fixed points, periodic cycles, and bifurcation phenomena inherent in quadratic mappings. The graphical analysis procedure outlined in this paper offers an intuitive and visually appealing way to understand the dynamics of complex systems. By superimposing the graphs of relevant functions, we have been able to discern patterns, predict behaviors, and uncover the underlying structure of quadratic mappings

Keywords: Mappings, attractors, basins, fixed point.

Pages in journal: 205 - 211