Stability and bifurcation theory of differential equations is a mature research area, yet it has seen rapid developments in recent years. These advances have led to broad applications in many fields, such as physics, engineering, biology, neuroscience, economics, and even life and social sciences.

This special issue provides an opportunity for researchers to publish their most recent research results on the stability and bifurcation theory and its applications. We cordially invite researchers to submit original research articles as well as review articles on various dynamical stability and bifurcation analysis of differential equations and their applications. Potential topics include, but are not limited to:

• Dichotomy and spectrum
• Structural stability and linearization
• Periodic and almost periodic solutions of DEs
• Bifurcation theory of DEs and applications
• Turing instability and spatiotemporal dynamics of DEs
• Applications such as mathematical biology and neural networks

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/stabi/ according to the following timetable: