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2004, 1(2): 339-346. doi: 10.3934/mbe.2004.1.339

Synchronization between two Hele-Shaw Cells

A. Bernardini 1, , J. Bragard 1, and  H. Mancini 1,

1. 

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

Received  February 2004 Revised  May 2004 Published  July 2004

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.
Keywords: Complete synchronization, convection., Hele-Shaw cell.
Mathematics Subject Classification: 76R10,76F70,76F4.
Citation: A. Bernardini, J. Bragard, H. Mancini. Synchronization between two Hele-Shaw Cells. Mathematical Biosciences & Engineering, 2004, 1 (2) : 339-346. doi: 10.3934/mbe.2004.1.339
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