Numerical Calculation of Lyapunov Exponents for Three-Dimensional Systems of Ordinary Differential Equations

Author

Clyde-Emmanuel Estorninho MeadorFollow

Date of Award

2011

Degree Name

Mathematics

College

College of Science

Type of Degree

M.A.

Document Type

Thesis

First Advisor

Anna Mummert

Second Advisor

Scott Sarra

Third Advisor

Judith Silver

Abstract

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

Subject

Ordinary differential equations

Subject

Runge-Kutta formulas

Recommended Citation

Meador, Clyde-Emmanuel Estorninho, "Numerical Calculation of Lyapunov Exponents for Three-Dimensional Systems of Ordinary Differential Equations" (2011). Theses, Dissertations and Capstones. 107.
https://mds.marshall.edu/etd/107