"Synchronous behaviors of oscillatory complex systems are ubiquitous in many biological and chemical systems, to name a few, firing of fireflies, synchronization of metronomes, rhythmic beating of pacemaker cells, etc. Famous examples are the Kuramoto model, which is a phase-coupled model on unit circle, and the Cucker-Smale model, which is a velocity alignment model on Euclidean space. Continuum and mean-field limit is an effective approximation to describe a system with infinitely many particles. In this talk, we first study some examples of the particle models. Then, we apply time-evolutionary behavior of the particle models to analyze the continuum and kinetic equations obtained as a suitable limit of the particle systems."