Is the Finite-Time Lyapunov Exponent Field a Koopman Eigenfunction?

This work serves as a bridge between two approaches to analysis of dynamical systems: the local, geometric analysis, and the global operator theoretic Koopman analysis. We explicitly construct vector fields where the instantaneous Lyapunov exponent field is a Koopman eigenfunction. Restricting ourse...

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Bibliographic Details
Main Authors: Erik M. Bollt, Shane D. Ross
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/21/2731