Logo

Linearization via the Lie Derivative

Small book cover: Linearization via the Lie Derivative

Linearization via the Lie Derivative
by

Publisher: American Mathematical Society
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

Book cover: Ordinary Differential EquationsOrdinary Differential Equations
by - University of Bristol
This book consists of ten weeks of material given as a course on ordinary differential equations for second year mathematics majors. Rather than seeking to find specific solutions, we seek to understand how all solutions are related in phase space.
(8369 views)
Book cover: Lectures on Analytic Differential EquationsLectures on Analytic Differential Equations
by - American Mathematical Society
A graduate-level textbook and survey of the recent results on analysis and geometry of differential equations in the real and complex domain. The book includes self-contained demonstrations of several fundamental results.
(16175 views)
Book cover: Elementary Differential EquationsElementary Differential Equations
by - 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.
(9200 views)
Book cover: Examples of differential equations, with rules for their solutionExamples of differential equations, with rules for their solution
by - Boston, Ginn & Company
This work has been prepared to meet a want in a course on the subject, arranged for advanced students in Physics. It could be used in connection with lectures on the theory of Differential Equations and the derivation of the methods of solution.
(9290 views)