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

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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.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623, Berlin, Germany

    Liudmila Tumash, Anna Zakharova & Eckehard Schöll

  2. Laboratoire des signaux et systèmes, CNRS, 3 rue Joliot Curie, 91192, Gif-sur-Yvette, France

    Elena Panteley

Authors
  1. Liudmila Tumash
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  2. Elena Panteley
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  3. Anna Zakharova
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  4. Eckehard Schöll
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Correspondence to Eckehard Schöll.

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Tumash, L., Panteley, E., Zakharova, A. et al. Synchronization patterns in Stuart–Landau networks: a reduced system approach. Eur. Phys. J. B 92, 100 (2019). https://doi.org/10.1140/epjb/e2019-90483-5

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  • DOI: https://doi.org/10.1140/epjb/e2019-90483-5

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