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math.DS2026
Reduced Order Modeling of Nonlinear Dynamical Systems Using Slow Manifolds
Dan Wilson
Model order reduction in high-dimensional, nonlinear dynamical systems if often enabled through fast-slow timescale separation. One such approach involves identifying a low-dimensi…
math.DS2025
Identification and Computation of Slow Manifolds Using the Isostable Coordinate System
Dan Wilson
Koopman analysis can be used to understand the dynamics of a nonlinear dynamical system in terms a linear, but generally infinite dimensional operator. The isostable coordinate sys…