Complex dynamics studies iteration of holomorphic and rational maps, especially the division of the Riemann sphere into stable Fatou behavior and chaotic Julia behavior.
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.
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