Lyapunov exponents of time series in finite amplitude electroconvection

Author

Chicón, R. ; Pérez, A.T. ; Castellanos, A.

Author_Institution

Dept. de Fisica, Murcia Univ., Spain

fYear

2001

fDate

2001

Firstpage

520

Lastpage

523

Abstract

We analyze the nonlinear time series obtained from numerical simulation of electroconvection induced by unipolar injection. These time series are non-steady and non-periodic and the dimension of the strange attractor seems to be very high. We focus our study in the computation of the maximal Lyapunov exponents, which are a measure of the divergence of two trajectories in the attractor. We have studied the evolution of the maximal Lyapunov exponent as the instability parameter varies. In all the series we found a positive maximal Lyapunov exponent, which is a strong evidence of chaos

Keywords

Lyapunov methods; chaos; convection; dielectric liquids; electrohydrodynamics; space charge; time series; Lyapunov exponents; chaos; divergence of trajectories; finite amplitude electroconvection; instability parameter; insulating liquid layer; maximal exponents; nonlinear time series; numerical simulation; permittivity; space charge; strange attractor; unipolar injection; Chaos; Dielectric liquids; Electrodes; Electromagnetic analysis; Fractals; Insulation; Integral equations; Numerical simulation; Stability; Time series analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Insulation and Dielectric Phenomena, 2001 Annual Report. Conference on

Conference_Location

Kitchener, Ont.

Print_ISBN

0-7803-7053-8

Type

conf

DOI

10.1109/CEIDP.2001.963595

Filename

963595