Dynamic systems have been widely used to describe the long-time behaviors in almost all areas of science and engineering. Using an algebraic approach to study dynamic systems has become more and more important in the dynamic systems theory and has drew a great interest to many researchers recently. This special issue offers a fast publication for advances in dynamic systems and algebra and, in particular, for those exploring the applications of algebra in dynamic systems. It encourages the submission of new research on potential topics that include, but are not limited to:

• Nonlinear dynamic model and application
• Stability and bifurcation in infinite dimensional nonlinear dynamic systems
• Numerical analysis of dynamic systems
• Matrix algebra and its applications in dynamic systems
• Graph spectra theory and its application in dynamic systems
• Lie approaches to differential equations

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/dysy/ according to the following timetable: