A Numerical Method for Proving Hyperbolicity of Complex Hénon Mappings
نویسنده
چکیده
In this paper, we describe a rigorous computer algorithm which can determine if for given complex parameters a, c, the Hénon map Ha,c : C → C defined by (x, y) 7→ (x + c − ay, x) is hyperbolic on its Julia set. Further, we give several new examples of hyperbolic maps, which have been proved to be hyperbolic by a computer program, Hypatia, which implements this algorithm.
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