In recent decades, delay differential equations have attracted a rapidly growing attention in the field of nonlinear dynamics and have become a powerful tool for investigating the complexities of the real-world problems such as infectious diseases, biotic population, neuronal networks, and even economics and finance. A delay differential equation is a special type of functional differential equation; its evolution involves past values of the state variable and therefore requires knowledge of not only the current state but also the state at certain time previously. Nowadays, the analysis of nonlinear dynamics of delay differential equations still poses many new challenges to researchers. When employing delay differential equations to solve practical problems, it is very crucial to be able to completely characterize the dynamical properties of the delay differential equations. This special issue aims at gathering research works focusing on the development of the dynamics of delay differential equations with its applications. We invite authors to submit original research articles as well as review articles that reveal various dynamics behavior and their applications of delay differential equations. Potential topics include, but are not be limited to:

• Invariant sets and attractor
• Boundedness analysis Multistability, stability, and bifurcation analysis
• Asymptotically analysis and synchronization
• The existence and uniqueness or nonexistence of equilibrium point, periodic solutions, and almost periodic solutions
• Homoclinic orbits and heteroclinic orbits
• Impulsive and stochastic control
• Modeling and simulation analysis
• Numerical computation analysis

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/ddd14/ according to the following timetable: