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- W3048830035 abstract "In this article we will discuss combinatorial structure of the parameter plane of the family $ mathcal F = { lambda tan z^2: lambda in mathbb C^*, z in mathbb C}.$ The parameter space contains components where the dynamics are conjugate on their Julia sets. The complement of these components is the bifurcation locus. These are the hyperbolic components where the post-singular set is disjoint from the Julia set. We prove that all hyperbolic components are bounded except the four components of period one and they are all simply connected." @default.
- W3048830035 created "2020-08-18" @default.
- W3048830035 creator A5086229724 @default.
- W3048830035 date "2020-08-11" @default.
- W3048830035 modified "2023-09-27" @default.
- W3048830035 title "Combinatorial structure of the parameter plane of the family $lambda tan z^2$" @default.
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