Dynamical Systems
Dynamical systems refer to a mathematical framework that describes the behavior of complex systems over time. In data science and artificial intelligence, dynamical systems are used to model and analyze the behavior of systems that change over time. These systems can be physical, biological, or social in nature, and can be represented by a set of differential equations that describe how the system evolves over time. Dynamical systems theory provides a way to understand the long-term behavior of these systems, including their stability, periodicity, and chaos. In artificial intelligence, dynamical systems are used to model the behavior of agents in complex environments, such as robots or autonomous vehicles. By understanding the dynamics of these systems, researchers can develop more effective control strategies and decision-making algorithms.
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