Discrete dynamical systems

Discrete dynamical systems are mathematical models that describe how a state changes over discrete steps or moments in time. They use specific rules to determine the next state based on the current one. Think of it like a sequence of snapshots, where each new snapshot depends on the previous one’s condition, such as population counts evolving year by year or the steps in a computer algorithm. These systems help us analyze patterns, stability, and long-term behavior in various fields, including biology, economics, and computer science.