The first five chapters display topological aspects of qualitative analysis, stability theory, bifurcation theory, classical and singular perturbation theory and application to synchronization theory of weakly coupled oscillators. Each chapters is supplemented by a list of commented exercices which allow gradual initiation to models. Chapter VI deals with stationary waves and discusses the relation with qualitative analysis. The last chapter is concerned with Hodgkin-Huxley approaches and focuses on two aspects. One is about synchronization of cardiac cells in the sinusal node and the other is on bursting oscillations.