Nature of Singularities for Analyticity
نویسندگان
چکیده
DOMAINS OF INVARIANT CURVES 1 Rafael de la Llave 2 3 and Stathis Tompaidis 2 4 Department of Mathematics The University of Texas at Austin Austin, TX 78712-1082 Abstract. We present theoretical arguments (based on in nite 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 e cient numerical algorithms, which we implement.
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تاریخ انتشار 1994