 96428 Berretti A., Marmi S.
 Limit at Resonances of Linearizations
of Some Complex Analytic Dynamical Systems
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Sep 20, 96

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Abstract. We consider the behaviour near resonances of linearizations of=20
germs of holomorphic diffeomorphisms of (C,0) and of=20
the semistandard map.=20
We prove that there exists suitable scalings under which the=20
linearizations converge uniformly to some analytic function as the=20
multiplier, or rotation number, tends nontangentially to a=20
resonance. This limit functions are computed analytically in the case=20
of germs and are related to the formal classifications of germs with a=20
parabolic fixed point. In the semistandard map case we give a=20
heuristic argument to compute the limit.
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