A dynamical system is a mathematical framework used to describe how a point in a given space evolves over time according to specific rules. These systems can be continuous, where changes occur smoothly, or discrete, where changes happen at distinct intervals. They are often represented by equations that capture the relationships between variables. Dynamical systems are widely used in various fields, including physics, biology, and economics, to model complex behaviors such as population growth, the motion of planets, or market fluctuations. By analyzing these systems, researchers can predict future states and understand underlying patterns.