Conference abstracts

Session B1 - Computational Dynamics

July 15, 17:00 ~ 17:30 - Room 111

On computation of monodromy of the Hénon map and its applications

Zin Arai

Chubu University, Japan   -

We develop a computational method for the investigation of monodromy actions associated to loops in the parameter space of the complex Hénon map. When the loop is contained in the hyperbolic parameter region, we can determine the action rigorously as an automorphism of the shift space. The monodromy action is closely related to the structure of bifurcation curves in the parameter space and thus our method can be used to understand the bifurcations of the Julia sets.

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