| Abstract: |
| In joint work with Devin Becker and Lorelei Koss, we explore the convergence of polynomial families to families that are a product of a power map and the exponential. These families have several critical points but only one free critical point that can change behavior with the parameter. We leverage this fact to describe the structure of the attracting basins in dynamical space and the capture components in parameter space, where the orbit of the free critical point converges to the fixed critical point at 0. |
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