Global Dynamics and Bifurcations of Certain Second Order Rational Difference Equation with Quadratic Terms.

Autor: Jašarević Hrustić, Sabina, Kulenović, M. R. S., Nurkanović, M.
Zdroj: Qualitative Theory of Dynamical Systems; Apr2016, Vol. 15 Issue 1, p283-307, 25p
Abstrakt: We investigate global dynamics of the equation ... where the parameters a, e and f are nonnegative numbers with condition a + e + f > 0 and the initial conditions x-1, x0 are arbitrary nonnegative numbers such that x-1 + x0 > 0. The global dynamics of this equation consists of three bifurcations, two exchange of stability bifurcations and one global period doubling bifurcation. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index