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arXiv · 1107.4197

Adaptive synchronization in delay-coupled networks of Stuart-Landau oscillators

Anton Selivanov·Judith Lehnert·Thomas Dahms·Philipp Hövel·Alexander L. Fradkov·Eckehard Schöll
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Abstract

We consider networks of delay-coupled Stuart-Landau oscillators. In these systems, the coupling phase has been found to be a crucial control parameter. By proper choice of this parameter one can switch between different synchronous oscillatory states of the network. Applying the speed-gradient method, we derive an adaptive algorithm for an automatic adjustment of the coupling phase such that a desired state can be selected from an otherwise multistable regime. We propose goal functions based on both the difference of the oscillators and a generalized order parameter and demonstrate that the speed-gradient method allows one to find appropriate coupling phases with which different states of synchronization, e.g., in-phase oscillation, splay or various cluster states, can be selected.

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Anton Selivanov, Judith Lehnert, Thomas Dahms, Philipp Hövel, Alexander L. Fradkov, Eckehard Schöll. 2011-07-21. Adaptive synchronization in delay-coupled networks of Stuart-Landau oscillators. https://doi.org/10.1103/physreve.85.016201

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