Generalized synchronization in a system of several non-autonomous oscillators coupled by a médium

Rogério Ferreira Martins, Gonçalo Morais

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

An abstract theory on general synchronization of a system of several oscillators coupled by a medium is given. By generalized synchronization we mean the existence of an invariant manifold that allows a reduction in dimension. The case of a concrete system modeling the dynamics of a chemical solution on two containers connected to a third container is studied from the basics to arbitrary perturbations. Conditions under which synchronization occurs are given. Our theoretical results are complemented with a numerical study
Original languageEnglish
Pages (from-to)347-373
JournalKybernetika
Volume51
Issue number2
Publication statusPublished - 2015

Keywords

  • coupled oscillators
  • synchronization
  • invariant manifolds

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