Total Convergence or General Divergence¶in Small Divisors
نویسندگان
چکیده
منابع مشابه
0 Total convergence or general divergence in Small Divisors
We study generic holomorphic families of dynamical systems presenting problems of small divisors with fixed arithmetic. We prove that we have convergence for all parameter values or divergence everywhere except for an exceptional set of zero Γ-capacity. We illustrate this general principle in different problems of small divisors. As an application we obtain new richer families of non-linearizab...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2001
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s002200100457