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CHAOTIC ELECTROCONVECTION IN A LAYER OF DIELECTRIC LIQUID SUBJECTED TO UNIPOLAR INJECTION: MAXIMAL LYAPUNOV EXPONENTS

A. CASTELLANOS

Departamento de Electrónica y Electromagnetismo, Universidad de Sevilla, Spain

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A. T. PÉREZ

Departamento de Electrónica y Electromagnetismo, Universidad de Sevilla, Spain

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, and

R. CHICÓN

Departamento de Física, Universidad de Murcia, Spain

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https://doi.org/10.1142/S0218127402006059Cited by:8 (Source: Crossref)

Abstract

This paper reviews the studies that have been carried out over the years to analyze the electroconvection of an insulating plane liquid layer subjected to unipolar charge injection from one of the electrodes. We consider in detail the motion near the onset of nonlinear instability that for brevity we call chaotic electroconvection. We also present some recent advances in the characterization of this chaotic motion. In particular, we have computed the maximal Lyapunov exponents for time series obtained from numerical simulation, for weak as well as strong injection regimes, and we discuss the relevance of these results for the characterization of this EHD chaos.

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