Dynamical systems are mathematical frameworks used to describe the behavior of complex systems over time. They consist of a set of equations that govern the evolution of a system's state, which can change based on various inputs and conditions. Key characteristics include their ability to model stability, chaos, and periodicity, making them applicable in fields such as physics, biology, economics, and engineering. Common use cases involve predicting the future states of systems, optimizing processes, and understanding the underlying dynamics of real-world phenomena.
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