Gradient Flow in Morse and Analytic Settings
Dynamical Systems
2023-11-17 v1
Abstract
This report is actually the in-class project of MATH489 FA2022, Dynamics and Differential Equations in University of Illinois Urbana-Champaign. The report is mainly about gradient flow of a Morse-type functions (Morse functions, Morse--Bott functions, etc.) and analytic functions. Several small results that I develop during the reading are included as well. They have a focus on the convergence, limiting rate and direction of gradient flow in either setting.
Keywords
Cite
@article{arxiv.2311.09968,
title = {Gradient Flow in Morse and Analytic Settings},
author = {Leyang Zhang},
journal= {arXiv preprint arXiv:2311.09968},
year = {2023}
}
Comments
14 pages in-class project report