Beyond the Mandelbrot Set - An Intro to Holomorphic Dynamics

Explore the fascinating world of holomorphic dynamics in this 28-minute video that delves into the study of iterated complex functions. Begin with an introduction to rational functions before diving into the iconic Mandelbrot set. Examine fixed points and stability, then investigate cycles and discover hidden Mandelbrot patterns. Gain insight into Fatou sets and Julia sets, essential concepts in complex dynamics. Conclude with final thoughts on this captivating mathematical subject, enhanced by stunning animations and clear explanations throughout the presentation.

- Intro.
- Rational functions.
- The Mandelbrot set.
- Fixed points and stability.
- Cycles.
- Hidden Mandelbrot.
- Fatou sets and Julia sets.
- Final thoughts.