27 citations · 285 across the 42 of their papers we have counts for
3 papers · 1 filter
Finite-Data Error Bounds for Approximating the Koopman Operator: Sampling Measures, Super-Polynomial Convergence and Regularization
Daniel Fassler, Rachel Morris, Jason Bramburger +1
The Koopman operator is a well-established framework for lifting nonlinear dynamical systems to an infinite-dimensional space where dynamics are linear. Extended Dynamic Mode Decom…
The Spectral Skeleton of Chaos: Koopman Wave Packets on Poincaré Sections
Jason J. Bramburger, Shiloh-Sheray Gagnon, Rachel Morris +1
A Poincaré section replaces a flow by a return map, but for a chaotic system this map is usually known only from sampled crossings. We show that coarse transport can be read direct…
Stability of localized solutions to lattice dynamical systems
Bocheng Ruan, Jack M. Hughes, Jason J. Bramburger
Localized patterns are spatially confined structures that arise in lattice dynamical systems and play an important role in physics, biology, and materials science. While their exis…