Ordinary differential equations (ODEs) arise in many different aspects throughout mathematics and science (social and natural), one way or another, and have a very wide range of applications in many fields. In recent years, many researchers have done a lot of studies in this field and made many new advances both in theory and in applications.

This special issue mainly focuses on periodic solutions and asymptotic analysis of ODEs, exploring the latest advances in the theory and in applications of ODEs. We invite researchers to submit original research articles as well as review articles on various topics related to periodic solutions and asymptotic analysis of ODEs. Papers concerned with both theoretical and applied studies are welcome. Potential topics include, but are not limited to:

• Bifurcation of limit cycles in smooth and nonsmooth ODEs
• Periodic or almost periodic solutions and invariant manifolds
• Asymptotic analysis of solutions of ODEs under perturbations
• Normal form, integrability, and computation of dynamical systems
• Center conditions and bifurcations of critical periods
• Stability and qualitative theory of dynamical systems

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/peso/ according to the following timetable: