(III) Coupled cell networks and synchrony-breaking bifurcations

  • Haibo Ruan (Fachbereich Mathematik, Universität Hamburg)
A3 02 (Seminar room)


In the third part, we extend this method of equivariant degree to the realm of coupled cell networks, which are (generally non-symmetric) networks of dynamical systems, where the time evolution of one system is influenced by others. Under the general framework of coupled cell networks, we apply the newly defined ``lattice equivariant degree'' to studying synchrony-breaking bifurcations, a local bifurcation through which a fully synchronous equilibrium loses its stability and bifurcates to states of less synchrony in space.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail