Angular Values of Nonautonomous and Random Linear Dynamical Systems: Part I - Fundamentals

@article{Beyn2022AngularVO,
  title={Angular Values of Nonautonomous and Random Linear Dynamical Systems: Part I - Fundamentals},
  author={Wolf-J{\"u}rgen Beyn and Gary Froyland and Thorsten H{\"u}ls},
  journal={SIAM J. Appl. Dyn. Syst.},
  year={2022},
  volume={21},
  pages={1245-1286}
}
. We introduce the notion of angular values for deterministic linear difference equations and random linear cocycles. We measure the principal angles between subspaces of fixed dimension as they evolve under nonautonomous or random linear dynamics. The focus is on long-term averages of these principal angles, which we call angular values: we demonstrate relationships between different types of angular values and prove their existence for random dynamical systems. For one-dimensional subspaces in… 
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Angular values of linear dynamical systems and their connection to the dichotomy spectrum
This work continues the investigation of the previously defined angular values (cf. [6]) for linear nonautonomous dynamical systems in finite dimensions. The s-th angular value measures the maximal…

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