| Title |
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en
On loops in the hyperbolic locus of the complex Henon map and their monodromies
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| Creator |
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| Accessrights |
metadata only access |
| Subject |
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Other
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Henon map
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Other
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Monodromy
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Other
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Symbolic dynamics
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Other
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Pruning front
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NDC
400
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| Description |
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Abstract
en
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.
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| Publisher |
en
Elsevier
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| Date |
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| Language |
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| Resource Type |
journal article |
| Version Type |
NA |
| Identifier |
HDL
http://hdl.handle.net/2115/71791
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| Relation |
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isIdenticalTo
DOI
https://doi.org/10.1016/j.physd.2016.02.006
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| Journal |
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en
Physica. D, Nonlinear phenomena
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Volume Number334
Page Start133
Page End140
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| Oaidate |
2023-09-30 |
