Faculty Advisor

Humi, Mayer

Abstract

This project tested the conjecture linking turbulence strength, as quantified by the index of refraction, to the Lyapunov Exponents of the time series representing this turbulence. To test this hypothesis, we used three time series of atmospheric measurements in the upper troposphere. Our results confirmed this hypothesis and established a qualitative link between the index of refraction and the Lyapunov Exponents. To accomplish these objectives, we used phase space reconstruction techniques and three different algorithms to estimate the Lyapunov Exponents.

Publisher

Worcester Polytechnic Institute

Date Accepted

January 2004

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Restricted-WPI community only

Advisor Department

Mathematical Sciences

Advisor Program

Mathematical Sciences

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