Synchronization patterns in Stuart–Landau networks: a reduced system approach

We study networks with coupled phase and amplitude dynamics. In particular, we investigate a ring of Stuart–Landau oscillators. For symmetry-conserving coupling we observe cluster synchronization. We show that the dimension of the dynamical system can be substantially reduced by projecting the system onto the subspace corresponding to the unstable eigenvalues of the linear part of the network dynamics.DFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzept