Jürgen Pöschel
A second lecture on the classical KAM theorem -- R\"ussmann's scheme.
Tue, 09/08/2009 - 12:16 — SomNambulAuthors: Jürgen Pöschel
Subjects: Dynamical Systems
AbstractWe describe a very simple and explicit scheme of estimates to prove a version
of the classical KAM theorem. This scheme was recently proposed by R\"ussmann
for polynomial perturbations of a hamiltonian in normal form as in. Here, we
describe this scheme for analytic perturbations of constant vector fields on a
torus, which further simplifies the formalism.A second lecture on the classical KAM theorem -- R\"ussmann's scheme.
Tue, 09/08/2009 - 12:16 — SomNambulAuthors: Jürgen Pöschel
Subjects: Dynamical Systems
AbstractWe describe a very simple and explicit scheme of estimates to prove a version
of the classical KAM theorem. This scheme was recently proposed by R\"ussmann
for polynomial perturbations of a hamiltonian in normal form as in. Here, we
describe this scheme for analytic perturbations of constant vector fields on a
torus, which further simplifies the formalism.A lecture on the classical KAM theorem.
Tue, 08/18/2009 - 11:53 — SomNambulAuthors: Jürgen Pöschel
Subjects: Dynamical Systems
AbstractThe purpose of this lecture is to describe the KAM theorem in its most basic
form and to give a complete and detailed proof.This proof essentially follows the traditional lines laid out by the
inventors of this theory, and the emphasis is more on the underlying ideas than
on the sharpness of the arguments.
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