6533b7d7fe1ef96bd1267bcb

RESEARCH PRODUCT

Superconvergent Perturbation Theory, KAM Theorem (Introduction)

Martin ReuterWalter Dittrich

subject

Nonlinear Sciences::Chaotic DynamicsMathematics::Dynamical SystemsKolmogorov–Arnold–Moser theoremFrequency ratioPerturbation (astronomy)SuperconvergenceMathematical physicsMathematics

description

Here we are dealing with an especially fast converging perturbation series, which is of particular importance for the proof of the KAM theorem (cf. below).

https://doi.org/10.1007/978-3-642-56430-7_14