Complex dynamics is a branch of mathematics that studies the behavior of dynamical systems in the context of complex numbers. It typically involves the iteration of complex functions, particularly polynomials and rational functions, and explores the patterns and structures that emerge from these iterations. Key concepts in complex dynamics include: 1. **Iteration**: Complex dynamics often focuses on iterating a function, meaning applying the function repeatedly.
The Mandelbrot set is a famous and visually stunning fractal named after the mathematician Benoit Mandelbrot. It is defined in the complex number plane and is created by iterating a simple mathematical formula.
Articles by others on the same topic
Complex dynamics studies iteration of holomorphic and rational maps, especially the division of the Riemann sphere into stable Fatou behavior and chaotic Julia behavior.