The concept of complex dynamic systems arises in many varieties, including the areas of energy generation and distribution, ecosystems, health delivery, safety and security systems, telecommunications, transportation networks, and the rapidly emerging research topics seeking to understand and analyze. Such systems are often concurrent and distributed, because they have to react to various kinds of events, signals, and conditions. They may be characterized by a system with uncertainties, time delay, stochastic perturbation, hybrid dynamics, distributed dynamics, and chaotic dynamics. Unlike those systems characterized by linear processes that can be effectively isolated from environmental influence, the external structures or boundary conditions of complex systems form an important part of the internal structure. Both negative and positive feedback exist in complex systems, which provides complex systems with a contextual embeddedness that makes the boundaries of complex dynamic system typically fuzzy and difficult to describe. This call is for special and efficient applied mathematics methods for solving the above problems.

This special issue is to provide a platform for researchers to discuss various mathematical methods and techniques for modeling and control of complex dynamic systems and to identify critical issues and challenges for future investigation in this field. Potential topics include, but are not limited to:

• Mathematical modeling of complex dynamic systems
• Dynamic analysis of complex systems
• Numerical simulation and optimization of complex dynamic systems
• Novel analysis methods and advanced control techniques for complex dynamic systems
• Computational intelligence techniques and algorithms
• Mathematical aspects of the discretization schemes and chaotic dynamics
• Application of mathematical theories to real complex systems

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