منابع مشابه
An Ordered Structure of Rank Two Related to Dulac's Problem
For a vector eld ξ on R we construct, under certain assumptions on ξ, an ordered model-theoretic structure associated to the ow of ξ. We do this in such a way that the set of all limit cycles of ξ is represented by a de nable set. This allows us to give two restatements of Dulac's Problem for ξ that is, the question whether ξ has nitely many limit cycles in model-theoretic terms, one involving ...
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ژورنال
عنوان ژورنال: Transactions of the Japan Institute of Metals
سال: 1974
ISSN: 0021-4434,2432-4701
DOI: 10.2320/matertrans1960.15.256