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Around the boundary of complex dynamics

Author: Roland K. W. Roeder
Url: http://arxiv.org/abs/1506.07113
Format: Ps, Pdf
Year: 2015
Category: Dynamical Systems
Pages: 56
Clicks: 124

We introduce the exciting field of complex dynamics at an undergraduate level while reviewing, reinforcing, and extending the ideas learned in an typical first course on complex analysis. Julia sets and the famous Mandelbrot set will be introduced and interesting properties of their boundaries will be described. We will conclude with a discussion of problems at the boundary between complex dynamics and other areas, including a nice application of the material we have learned to a problem in astrophysics.

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