Linearization via the Lie Derivative

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.