Analysis and control of Andronov-Hopf oscillators with applications to neuronal populations

Abstract : One of the main motivations for analysis of networks of nonlinear oscillators lies in the role these play in undertanding synchronization and collective behavior in chemical and biological systems. In medical systems such networks are used for synchronization analysis of neuronal populations and control design for synchrony suppression. In this paper we use tools issued from nonlinear stability theory and graph theory for analysis and control of heterogeneous networked Andronov-Hopf oscillators.