Date of Award
College of Science
Type of Degree
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.
Ordinary differential equations
Meador, Clyde-Emmanuel Estorninho, "Numerical Calculation of Lyapunov Exponents for Three-Dimensional Systems of Ordinary Differential Equations" (2011). Theses, Dissertations and Capstones. 107.