Koopman Spectral Analysis (Continuous Spectrum)

Koopman Spectral Analysis (Continuous Spectrum)
Steve Brunton
12 min

In this video, we discuss how to use Koopman theory for dynamical systems with a continuous eigenvalue spectrum. These systems are quite common, such as a pendulum, where the period deforms continuously as energy is added to the system. To handle these systems, we use a neural network architecture with an auxiliary network to parameterize the continuously varying eigenvalue.



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