= Classification of Fatou components
{wiki=Classification_of_Fatou_components}
In complex dynamics, particularly in the study of rational functions, Fatou components are important regions in the complex plane that describe the behavior of iterates of these functions. The classification of Fatou components is a way to categorize these regions based on their dynamical properties. Here’s an overview of how Fatou components are classified: 1. **Trivial Components**: These are components where the dynamics is either constant or behaves very simply.
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