Geodesic
Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium
Kybernetika, Tome 51 (2015) no. 2, pp. 347-373

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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.
DOI : 10.14736/kyb-2015-2-0347
Classification : 34C15, 34D06, 34D35
Keywords: coupled oscillators; synchronization; invariant manifolds 
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     title = {Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium},
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Martins, Rogério; Morais, Gonçalo. Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium. Kybernetika, Tome 51 (2015) no. 2, pp. 347-373. doi: 10.14736/kyb-2015-2-0347

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