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On loops in the hyperbolic locus of the complex Henon map and their monodromies
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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)
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Submitter: 荒井 迅
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