Advances in the modeling and analysis of complex dynamical systems have led to the steady rise of dynamical systems in social-personality psychology. This chapter covers the basic concepts of dynamical systems theory, including their implications for understanding human and social behavior. It explains how complex ordered behavior emerges from the nonlinear interactions that exist between the components of a behavioral system. The chapter briefly defines what a complex dynamical system is. It also covers the basic forms and mathematical properties of dynamical systems models. The chapter discusses how dynamical modeling provides insights about the organization or reorganization of stable (or unstable) human and social behavior. It addresses the basic aspects of dynamical systems analysis and focuses on a number of analysis techniques that can be employed to uncover the dynamics of a behavioral system from time-series recordings.