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# On loops in the hyperbolic locus of the complex Henon map and their monodromies

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 Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/71791

 Title: On loops in the hyperbolic locus of the complex Henon map and their monodromies Authors: Arai, Zin Browse this author →KAKEN DB Keywords: Henon map Monodromy Symbolic dynamics Pruning front Issue Date: 2-Nov-2016 Publisher: Elsevier Journal Title: Physica. D, Nonlinear phenomena Volume: 334 Start Page: 133 End Page: 140 Publisher DOI: 10.1016/j.physd.2016.02.006 Abstract: We prove John Hubbard's conjecture on the topological complexity of the hyperbolic horseshoe locus of the complex Henon map. In fact, we show that there exist several non-trivial loops in the locus which generate infinitely many mutually different monodromies. Furthermore, we prove that the dynamics of the real Henon map is completely determined by the monodromy of the complex Henon map, providing the parameter of the map is contained in the hyperbolic horseshoe locus. Type: article URI: http://hdl.handle.net/2115/71791 Appears in Collections: 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 荒井 迅

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