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Jurgen Poschel

Pfaffenwaldring 57, D-70569 Stuttgart
Institut fur Analysis, Dynamik und Optimierung Universitat Stuttgart


Poschel J.
KAM à la R
2011, vol. 16, no. 1-2, pp.  17-23
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, no. 1-2, pp. 17-23

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