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Название: Improved KAM Estimates for the Siegel Radius
Авторы: Liverani C., Turchetti G.
Аннотация:
Journal of Statistical Physics, Vol. 45, Nos. 5/6. 1986. p. 1071-1086.
For the Siegel center problem we explore the possibility of improving the KAM estimates, with a view to possible extensions to Hamiltonian systems. The use of a suitable norm and explicit perturbative computations allow estimates to within a factor 2 of the Siegel radius for the quadratic map.