Linearization via the Lie Derivative
by Carmen Chicone, Richard Swanson
Publisher: American Mathematical Society 2000
Number of pages: 64
Description:
The standard proof of the Grobman--Hartman linearization theorem for a flow at a hyperbolic rest point proceeds by first establishing the analogous result for hyperbolic fixed points of local diffeomorphisms. In this exposition we present a simple direct proof that avoids the discrete case altogether.
Download or read it online for free here:
Download link
(420KB, PDF)
Similar books
A First Course in Ordinary Differential Equationsby Norbert Euler - Bookboon
The book consists of lecture notes intended for engineering and science students who are reading a first course in ordinary differential equations and who have already read a course on linear algebra, general vector spaces and integral calculus.
(2381 views)
Elementary Differential Equationsby William F. Trench - Brooks Cole
This text has been written in clear and accurate language that students can read and comprehend. The author has minimized the number of explicitly state theorems and definitions, in favor of dealing with concepts in a more conversational manner.
(3214 views)
The Contraction Mapping Principle and Some Applicationsby Robert M. Brooks, Klaus Schmitt - American Mathematical Society
These notes contain various versions of the contraction mapping principle. Several applications to existence theorems in differential and integral equations and variational inequalities are given. Also discussed are Hilbert's projective metric.
(5611 views)
Differential Equations with YouTube Examplesby Jeffrey R. Chasnov - BookBoon
This book, together with the linked YouTube videos, reviews a first course on differential equations. The purpose is to help students prepare for their exams. Theory is summarized, and the solutions of questions are demonstrated in YouTube videos.
(2485 views)