Jurgen Poschel

Address: Pfaffenwaldring 57, D-70569 Stuttgart

E-mail: poschel@mathematik.uni-stuttgart.de

University: Institut fur Analysis, Dynamik und Optimierung Universitat Stuttgart

Publications:

Poschel J.

KAM à la R
2011, vol. 16, nos. 1-2, pp. 17-23

Abstract

Recently Rüssmann proposed a new variant of kam-theory based on a slowly converging iteration scheme. It is the purpose of this note to make this scheme accessible in an even simpler setting, namely for analytic perturbations of constant vector fields on a torus. As a side effect the result may be the shortest complete kam proof for perturbations of integrable vector fields available so far.

Keywords: KAM theory, invariant tori, small divisors, weighted norms

Citation: Poschel J., KAM à la R, Regular and Chaotic Dynamics, 2011, vol. 16, nos. 1-2, pp. 17-23

DOI:10.1134/S1560354710520060

Back to the list