Manuscript Topics
A dynamic system is characterized by three major components: phase space, evolution operator(s), and time scale. Discrete dynamic systems are governed by difference equations which may result from discretizing continuous dynamic systems or modeling evolution systems for which the time scale is discrete. The discrete dynamic systems are prevalent in signal processing, population dynamics, numerical analysis and scientific computation, economics, health sciences, and so forth.

In this Special Issue, we focus our attention on the asymptotic behavior of deterministic and stochastic dynamic systems for which the underlying phase space is either a continuum or a discrete set. Special attention will be given to different types of bifurcation in discrete dynamic systems such as the period doubling bifurcation, discrete Hopf bifurcation, flip bifurcation of some classes of difference equations and first-order systems.

Keywords:
asymptotic
bifurcation
chaos
global dynamics
manifold
stability

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