Synchronization of networked oscillators under nonlinear integral coupling

Alexey Pavlov, Anton V. Proskurnikov, Erik Steur, Nathan van de Wouw

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Abstract

In this paper, we consider synchronization of dynamical systems interconnected via nonlinear integral coupling. Integral coupling allows one to achieve synchronization with lower interaction levels (coupling gains) than with linear coupling. Previous results on this topic were obtained for synchronization of several systems with all-to-all interconnections. In this paper, we relax the requirement of all-to-all interconnections and provide two results on exponential synchronization under nonlinear integral coupling for networks with topologies different from all-to-all interconnections. In particular, we provide a high-gain result for an arbitrary interconnection topology and a non-high-gain method for analysis of synchronization for specific topologies. The results are illustrated by simulations of Hindmarsh-Rose neuron oscillators.

Original languageEnglish
Pages (from-to)56-61
JournalIFAC-PapersOnLine
Volume51
Issue number33
DOIs
Publication statusPublished - 2018
EventCHAOS 2018: 5th IFAC Conference on Analysis and Control of Chaotic Systems - Eindhoven, Netherlands
Duration: 30 Oct 20181 Nov 2018

Keywords

  • Hindmarsh-Rose oscillators
  • networked systems
  • neural dynamics
  • nonlinear systems
  • Synchronization

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