Synchronization between two Hele-Shaw Cells

A. Bernardini; J. Bragard; H. Mancini

doi:10.3934/mbe.2004.1.339

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2004, Volume 1, Issue 2: 339-346. Doi: 10.3934/mbe.2004.1.339

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Synchronization between two Hele-Shaw Cells

1.
Department of Physics and Applied Mathematics, University of Navarra, Irunlarrea, s/n, 31080 Pamplona

Received: February 2004

Revised: May 2004

Published: July 2004

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Abstract

Complete synchronization between two Hele-Shaw cells is examined. The two dynamical systems are chaotic in time and spatially extended in two dimensions. It is shown that a large number of connectors are needed to achieve synchronization. In particular, we have studied how the number of connectors influences the dynamical regime that is set inside the Hele-Shaw cells.

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Mathematics Subject Classification: 76R10,76F70,76F45.

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