Date of Award:
5-2015
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mathematics and Statistics
Committee Chair(s)
Zhaohu Nie
Committee
Zhaohu Nie
Committee
Ian Anderson
Committee
Nathan Geer
Abstract
The Toda flow is a generalization of a dynamical system describing the interaction of particles in a one-dimensional crystal. The concepts and energy and conservation are prominent in the study of dynamical systems, and quantities which remain the same over the evolution of a system provide valuable insights into the system’s behavior. In the realm of mathematics these quantities are called first integrals, or integrals of motion. This paper provides a background for study of the Toda flow, a verification of its integrability, and programming code for finding these quantities which remain unchanged over the evolution of the system.
Checksum
b7111e89fbdb3f33e371902862e55e64
Recommended Citation
Seegmiller, Patrick, "Explicit Construction of First Integrals for the Toda Flow on a Classical Simple Lie Algebra" (2015). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 4699.
https://digitalcommons.usu.edu/etd/4699
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