Kybernetika 51 no. 2, 347-373, 2015

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

Rogério Martins and Gonçalo MoraisDOI: 10.14736/kyb-2015-2-0347

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.

Keywords:

synchronization, coupled oscillators, invariant manifolds

Classification:

34D06, 34D35, 34C15

paper.pdf

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