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This article is cited in 28 scientific papers (total in 28 papers)
KAM à la R
Jürgen Pöschel Institut für Analysis, Dynamik und Optimierung,
Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart
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.
Received: 28.12.2009 Accepted: 23.07.2010
Citation:
Jürgen Pöschel, “KAM à la R”, Regul. Chaotic Dyn., 16:1-2 (2011), 17–23
Linking options:
https://www.mathnet.ru/eng/rcd423 https://www.mathnet.ru/eng/rcd/v16/i1/p17
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Abstract page: | 245 |
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