Limit sets

In mathematics, particularly in the field of dynamical systems and topology, **limit sets** refer to a particular type of set associated with the behavior of sequences or trajectories under a given operation or transformation. ### Key Concepts: 1. **Limit Point**: - A point \( x \) is called a limit point of a set \( S \) if every neighborhood of \( x \) contains at least one point of \( S \) different from \( x \) itself.