Investigations on Stabilized Sensitivity Analysis of Chaotic Systems


Lamiae Taoudi

Issuing Body

Mississippi State University


Bhatia, Manav

Committee Member

Swan, J. Edward, II

Committee Member

Yarahmadian, Shantia

Date of Degree


Original embargo terms

Visible to MSU only for 1 Year

Document Type

Graduate Thesis - Open Access

Degree Name

Master of Science


Many important engineering phenomena such as turbulent flow, fluid-structure interactions, and climate diagnostics are chaotic and sensitivity analysis of such systems is a challenging problem. Computational methods have been proposed to accurately and efficiently estimate the sensitivity analysis of these systems which is of great scientific and engineering interest. In this thesis, a new approach is applied to compute the direct and adjoint sensitivities of time-averaged quantities defined from the chaotic response of the Lorenz system and the double pendulum system. A stabilized time-integrator with adaptive time-step control is used to maintain stability of the sensitivity calculations. A study of convergence of a quantity of interest and its square is presented. Results show that the approach computes accurate sensitivity values with a computational cost that is multiple orders-of-magnitude lower than competing approaches based on least-squares-shadowing approach.




Chaos||bifurcation study||direct sensitivity analysis||adjoint sensitivity analysis

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