Fixed points of elliptic reversible transformations with integrals
نویسندگان
چکیده
منابع مشابه
Fixed points of elliptic reversible transformations with integrals
We show that for a certain family of integrable reversible transformations, the curves of periodic points of a general transformation cross the level curves of its integrals. This leads to the divergence of the normal form for a general reversible transformation with integrals. We also study the integrable holomorphic reversible transformations coming from real analytic surfaces in C with non-d...
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with coefficients which are analytic in S. This defines for us a topological space which will be denoted by U. If R is any subset of S then U(R) will denote those points of U whose base points are in R. Now there is a function D(z) analytic and not identically zero in S such that for E denoting the points of S where D vanishes the subset U(E) are possible singularities on U. However, U U(E) = U...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 1996
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385700009044