- 94-158 R. de la Llave, S. Tompaidis
- On the singularity structure of invariant curves of symplectic mappings.
(179K, Plain TeX)
Jun 1, 94
(auto. generated ps),
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Abstract. We study invariant curves in standard-like maps conjugate to rigid rotation
with complex frequencies.
The main goal is to
study the analyticity domain of the functions
defined perturbatively by Lindstedt perturbation
expansions. We argue, based on infinite-dimensional bifurcation
theory that the boundary of analyticity should typically
consist of branch points of order two and we verify it in
some examples using non-perturbative numerical methods.
We show that this nature of the singularities of the analyticity domain can
explain previously reported numerical results and also
suggests other numerical methods.