https://doi.org/10.1140/epjb/e2019-90483-5
Regular Article
Synchronization patterns in Stuart–Landau networks: a reduced system approach
1
Institut für Theoretische Physik, Technische Universität Berlin,
Hardenbergstraße 36,
10623
Berlin, Germany
2
Laboratoire des signaux et systèmes, CNRS,
3 rue Joliot Curie,
91192
Gif-sur-Yvette, France
a e-mail: schoell@physik.tu-berlin.de
Received:
1
August
2018
Received in final form:
22
January
2019
Published online: 14 May 2019
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019
