**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 Friendly Introduction to Differential Equations**

by

**Mohammed K A Kaabar**

The book covers: The Laplace Transform, Systems of Homogeneous Linear Differential Equations, First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, Applications of Differential Equations.

(

**10187**views)

**Nonlinear Analysis and Differential Equations**

by

**Klaus Schmitt, Russell C. Thompson**-

**University of Utah**

The intent of this set of notes is to present several of the important existence theorems for solutions of various types of problems associated with differential equations and provide qualitative and quantitative descriptions of solutions.

(

**12595**views)

**Ordinary Differential Equations and Dynamical Systems**

by

**Gerald Teschl**-

**Universitaet Wien**

This book provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental results concerning the initial value problem.

(

**15298**views)

**Examples of differential equations, with rules for their solution**

by

**George A. Osborne**-

**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.

(

**7818**views)