On the Study of the Aizawa System

Author

• Emmanuel Fleurantin

Author Type

Graduate Student

Date of Award

2018

Document Type

Thesis

Publication Status

Version of Record

Submission Date

October 2026

Thesis/Dissertation Advisor [Chair]

Mireles-James, Jason D.

Abstract

In this report we study the Aizawa field by first computing a Taylor series expansion for the solution of an initial value problem. We then look for singularities (equilibrium points) of the field and plot the set of solutions which lie in the linear subspace spanned by the eigenvectors. Finally, we use the Parameterization Method to compute one and two dimensional stable and unstable manifolds of equilibria for the system.

Extent

56 p.

Comments

Includes bibliography.|Thesis (M.S.)--Florida Atlantic University, 2018.|FAU Electronic Theses and Dissertations Collection|Includes bibliography.

Recommended Citation

Fleurantin, Emmanuel, "On the Study of the Aizawa System" (2018). Electronic Theses and Dissertations 2010 - 2019. 1984.
https://digitalcommons.fau.edu/etd_general_6/1984

Identifier

FA00005994

Format

pdf