Introduction to KAM Theory (1/3)

Date

Apr 16, 2013

Time

9:20 AM - 10:50 AM

Speaker

Dipl.-Phys. Gabriel Fuhrmann

Affiliation

TU Dresden, Institut für Analysis (Emmy Noether Group)

Language

en

Main Topic

Mathematik

Other Topics

Mathematik

Host

Dipl.-Math. Julian Hollender

Description

Let M be an analytic manifold. Two endomorphisms f:M→M, g:M→M are said to be (topologically) conjugate if there exists a homeomorphism h:M→M such that h∘f=g∘h. Conjugated maps share a lot of properties. Hence, it is a natural question to ask whether nearby endomorphisms are conjugated. KAM theory provides tools to give an affirmative answer to this question and moreover, yields conjugacies h of high regularity (e.g., analytic).We study the proof of Arnold's Theorem, which is one of the easiest KAM-proofs and still exhibits all the typical characteristics of a KAM proof.

Links

• Graduate Lectures in Mathematics

Last modified: Apr 9, 2013, 1:02:52 PM