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What is Introduction to Koopman Operator Theory about?

This document introduces the Koopman operator theory as an alternative framework for analyzing dynamical systems. The classical theory focuses on geometric objects like fixed points and attractors in state space. However, this approach does not scale well to high-dimensional or uncertain systems. Koopman operator theory offers a data-driven method for studying nonlinear and complex dynamical systems using operators on observables rather than trajectories in state space.

Author

Ayaan Hossain

Language

EN