4.5 Article

KAM tori: persistence and smoothness

Journal

NONLINEARITY
Volume 21, Issue 10, Pages T177-T185

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/0951-7715/21/10/T01

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Funding

  1. President of the Russia Federation [NSh-709.2008.1]

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Ten open problems in Kolmogorov-Arnold-Moser theory for finite-dimensional dynamical systems are presented and discussed. These problems concern the preservation of frequencies and Floquet exponents of invariant tori of partially integrable systems under small perturbations in the presence of external parameters.

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