Discrete dynamical systems are described by difference equations and potentially have applications in many areas like probability theory, economics, biology, computer science, control engineering, genetics, signal processing, population dynamics, health sciences, ecology, physiology and physics etc. The study of such systems has a direct impact on human sciences such as ecosystem, health, population dynamics and decision making etc. This motivated a number of researchers to study the behavior of these systems in recent years. By the behavior of such systems means studying equilibrium points, local and global dynamics about equilibrium points, existence of prime-period and periodic points, prime-period two solutions, Forbidden set, boundedness and persistence, existence and uniqueness of positive equilibrium points, existence of local and global bifurcation, chaos control, hybrid control and many more.

The aim of this Special Issue is to provide a platform to disseminate original research in the field of discrete dynamical systems described by difference equations. The researchers can contribute their original work that addresses any aspect of stability and bifurcations analysis of discrete dynamical systems, and can include the study of bifurcations and chaos in discrete-time models from economics, biology, ecology, and physics, etc.

Potential topics include but are not limited to the following:

• Boundedness and persistence of positive solution
• Local and global dynamics about the equilibrium point
• Lyapunov stability analysis
• Existence of prime periods and periodic points
• Calculation of Forbidden set
• Local and global bifurcation analysis of some discrete-time models from economics, biology, population dynamics, ecology, physiology and physics, etc