: Abstract
In this paper, we consider a class of singularly perturbed equations with a parameter. By letting the perturbation parameter tends to zero, such an equation is formally reduced to a scalar difference equation. Local stability analysis of fixed points is investigated. The method of steps is used to discretize the system. Moreover, Numerical simulations including Lyapunov exponent, bifurcation and chaos is carried out to confirm the theoretical analysis obtained to explore more complex dynamic of the system
Keywords: Fixed points, Local stability, Lyapunov exponent, Bifurcation and Chaos.
: make it by
Neamaa A. Elabd
Faculty of Science, Derna University, Libya.
&
Masouda M. A. Al-Fadel
Faculty of Science, Derna University, Libya.