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 language | English |
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Pages (from-to) | 347-373 |
Journal | Kybernetika |
Volume | 51 |
Issue number | 2 |
Publication status | Published - 2015 |
Keywords
- coupled oscillators
- synchronization
- invariant manifolds