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    On the Convergence of Coordinate Transformations in the KAM Procedure

    2000, Volume 5, Number 2, pp.  181-188

    Author(s): Sevryuk M. B.

    We study the Cr-convergence of the compositions Wn=U1U2Un where mappings Uk tend to the identity transformation in the Cr-topology as k. The cases r=0 and 1 turn out to be drastically different.
    Citation: Sevryuk M. B., On the Convergence of Coordinate Transformations in the KAM Procedure, Regular and Chaotic Dynamics, 2000, Volume 5, Number 2, pp. 181-188


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