Document Details

Document Type:   Thesis
Title:   Numerical Calculation of Lyapunov Exponents for Three-Dimensional Systems of Ordinary Differential Equations
Author:   Clyde-Emmanuel Estorninho Meador
College:   Science
Degree Program:   Mathematics, M.A.
Degree:   Master of Arts
Committee Director:   Anna Mummert
Document Availability:   Document available for World-Wide access.
Date of Defense:   2011

We consider two algorithms for the computation of Lyapunov exponents for systems of ordinary differential equations: orbit separation and continuous Gram-Schmidt orthonormalization. We also consider two Runge-Kutta methods for the solution of ordinary differential equations. These algorithms and methods are applied to four three-dimensional systems of ordinary differential equations, and the results are discussed. 

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