Article ID Journal Published Year Pages File Type
5500382 Physica D: Nonlinear Phenomena 2016 8 Pages PDF
Abstract
We prove John Hubbard's conjecture on the topological complexity of the hyperbolic horseshoe locus of the complex Hénon 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 Hénon map is completely determined by the monodromy of the complex Hénon map, providing the parameter of the map is contained in the hyperbolic horseshoe locus.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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