
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
Lectures on Analytic Differential Equationsby Yulij Ilyashenko, Sergei Yakovenko - 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.
(17241 views)
Ordinary Differential Equations: A Systems Approachby Bruce P. Conrad
This is a revision of a text that was on the market for a while. It focuses on systems of differential equations. Some popular topics, which were present in the original text, have been left out to concentrate on the initial value problem.
(12780 views)
Integration and Differential Equationsby R.S. Johnson - BookBoon
Part I introduces the standard techniques of elementary integration and, in some cases, takes the ideas a little further. In Part II, ordinary differential equation are explored, and the solution methods for some standard types are explained.
(13424 views)
Periodic Solutions for Evolution Equationsby Mihai Bostan - American Mathematical Society
We study the existence and uniqueness of periodic solutions for evolution equations. We analyze the one-dimensional case, then for arbitrary dimensions. We consider linear symmetric operators. We prove the same results for non-linear operators.
(11122 views)