- Prof. Juan G. Restrepo's research focuses on the analysis of emergent complex behavior in systems of interconnected units. This analysis often can be performed using techniques of nonlinear dynamics. Important examples of such systems are collections of network-coupled oscillators and excitable systems such as neurons, and cardiac cells coupled in tissue. The analysis of network-coupled systems requires developing an understanding of quantitative aspects of the structure of the coupling network. Accordingly, Prof. Restrepo is also studying how some characteristics of network structure can be quantified in order to understand their effect on these complex processes. Prof. Restrepo's research on cardiac dynamics spans ionic models for individual cells to the spatiotemporal dynamics of many coupled cells in tissue.