The hipster effect: when anti-conformists all look the same (Q2321114)

The author continues his investigation on hipsters, contained in an unpublished preprint from 2014 [``The hipster effect: when anticonformists look the same'', \url{arXiv:1410.8001}]. In the first section, the binary hipster model, the network equations, the limit equations and the stability of the disordered state are introduced. There is a model of interacting agents with two states: mainstreams, that follow the majority, and hipsters, that aim at opposing to it. The next section is devoted to the investigation of the importance and role of delays for the binary hipster model with symmetric interactions. One shows results on hipster synchronization in the presence of delays, delay-induced Hopf bifurcation, distributed delays and transmission of information. In the third section, asymmetric interactions in the binary hipster model are studied. There is a theoretical analysis of the system in the absence of delay, with results on Pitchfork bifurcations, Hopf bifurcations and codimension-two bifurcations. Results on numerical simulations are largely discussed. Additional comments are contained in the conclusion as well as in the appendix part.