Global Dynamics and Bifurcations of Certain Second Order Rational Difference Equation with Quadratic Terms
Date of Original Version
We investigate global dynamics of the equation (Formula presented.)…,where the parameters a, e and f are nonnegative numbers with condition (Formula presented.) and the initial conditions (Formula presented.) are arbitrary nonnegative numbers such that (Formula presented.). The global dynamics of this equation consists of three bifurcations, two exchange of stability bifurcations and one global period doubling bifurcation.
Qualitative Theory of Dynamical Systems
Hrustić, Sabina Jašarević, M. R.S. Kulenović, and M. Nurkanović. "Global Dynamics and Bifurcations of Certain Second Order Rational Difference Equation with Quadratic Terms." Qualitative Theory of Dynamical Systems 15, 1 (2016): 283-307. doi:10.1007/s12346-015-0148-x.