On the Convergence of Coordinate Transformations in the KAM Procedure
2000, Volume 5, Number 2, pp. 181-188
Author(s): Sevryuk M. B.
Author(s): Sevryuk M. B.
We study the Cr-convergence of the compositions Wn=U1U2⋯Un 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.
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