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

Liudmila Tumash, Elena Panteley, Anna Zakharova and Eckehard Schöll ()
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Liudmila Tumash: Institut für Theoretische Physik, Technische Universität Berlin
Elena Panteley: Laboratoire des signaux et systèmes, CNRS
Anna Zakharova: Institut für Theoretische Physik, Technische Universität Berlin
Eckehard Schöll: Institut für Theoretische Physik, Technische Universität Berlin

The European Physical Journal B: Condensed Matter and Complex Systems, 2019, vol. 92, issue 5, 1-10

Abstract: Abstract 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. Graphical abstract

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1140/epjb/e2019-90483-5

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