Social contagion on networks: groups and chaos

Peter Dodds, Department of Mathematics and Statistics, University of Vermont

I will present some observations regarding a simple model of social contagion acting on random networks and networks with group structure. I will also show that on random networks, for response functions that lead to chaotic behavior in the mean-field version, period doubling can also be tuned by network connectivity. For chaotic maps, some preliminary results suggest that when individual response functions are deterministic, chaotic behavior is only transient and the system collapses to a low period behavior.