title: Frequency assortativity can induce chaos in oscillator networks.
abstract: We investigate the effect of preferentially connecting oscillators with similar frequency to each other in networks of coupled phase oscillators (i.e., frequency assortativity). Using the network Kuramoto model as an example, we find that frequency assortativity can induce chaos in the macroscopic dynamics. By applying a mean-field approximation in combination with the dimension reduction method of Ott and Antonsen, we show that the dynamics can be described by a low dimensional system of equations. We use the reduced system to characterize the macroscopic chaos using Lyapunov exponents, bifurcation diagrams, and time-delay embeddings. Finally, we show that the emergence of chaos stems from the formation of multiple groups of synchronized oscillators, i.e., meta-oscillators.
authors.affiliation: Department of Mathematics, Trinity College, Hartford, Connecticut 06106, USA.|Departament d'Enginyeria Informatica i Matemátiques, Universitat Rovira i Virgili, 43007 Tarragona, Spain.
authors.forename: Per Sebastian
authors.initials: PS
authors.lastname: Skardal
authors.affiliation: Department of Applied Mathematics, University of Colorado, Boulder, Colorado 80309, USA.
authors.forename: Juan G
authors.initials: JG
authors.lastname: Restrepo
authors.affiliation: Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA.
authors.forename: Edward
authors.initials: E
authors.lastname: Ott