Welcome to the web page of the course: Complex Dynamic
Course: Introduction to Complex Dynamic I
We consider some notions and basics results of the Complex Dynamic: periodic points, stability, the attraction sets and the Fatou and Juliá's sets.
Contents:
- History of Complex Dynamics.
- Periodic points. Classification and Stability.
- Fatou and Julia's sets.
- The Mandelbrot set.
- The Newthon's method.
- Uses: Einstein rings.
- Matlab files.
Course: Introduction to Complex Dynamic II
We define and classify the Fatou's related components and we study the differences among the rational dynamics and the entire dynamics, particularly in relation with the Fatou's components.
We consider examples of Baker and wandering domains.
Course: Advanced Complex Dynamic I
In this part we discuss about:
Contents:
- Differences among rational dynamics and entire dynamics.
- Parabolics fixed points. Attractor and repulsive directions. The flower's theorem.
- Periodic points rationally indiferent.
- Irrationally indiferent points
Course: Advanced Complex Dynamic II
In this part we discuss about: Analytical conjugation in a fixed point environment.
The main local organizer of this course appear listed below:
- Antonio Algaba Durán; Universidad de Huelva-CEAFMC
