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- W1523131750 abstract "We study two complex invariant manifolds associated with the para-bolic fixed point of the area-preserving Hénon map. A single formal power series corresponds to both of them. The Borel transform of the formal series defines an analytic germ. We explore the Riemann surface and singularities of its analytic continuation. In particular we give a complete description of the first singularity and prove that a constant, which describes the splitting of the invariant manifolds, does not vanish. An interpretation in terms of Resurgence theory is also given." @default.
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- W1523131750 date "2001-01-01" @default.
- W1523131750 modified "2023-10-03" @default.
- W1523131750 title "Borel summation and splitting of separatrices for the Hénon map" @default.
- W1523131750 doi "https://doi.org/10.5802/aif.1831" @default.
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