Testing analyticity on rotation invariant families of curves
نویسندگان
چکیده
منابع مشابه
Nature of singularities for analyticity domains of invariant curves.
We present theoretical arguments (based on infinite dimensional bifurcation theory) and numerical evidence (based on non-perturbative methods) that the boundaries of analyticity of invariant curves can be described as an accumulation of branch points, which are typically of order 2. We show how this fact would explain previous numerical results of several authors and how it suggests more effici...
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Globevnik [G] answered the question in the affirmative for rotation invariant families. Agranovsky and Globevnik [AG] resolved the question for families of circles when f is a rational or real-analytic functions of two real variables. Ehrenpreis [E2] independently found solution for the circles of constant radii with centers on a line and real-analytic functions. In [T] we obtain the affirmativ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1988
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1988-0927697-0