170 citations · 268 across the 4 of their papers we have counts for
7 papers
Modeling Nonlinear Dynamics from Videos
Antony Yang, Joar Axås, Fanni Kádár +2
We introduce a method for constructing reduced-order models directly from videos of dynamical systems. The method uses a non-intrusive tracking to isolate the motion of a user-sele…
Data-Driven Modeling and Forecasting of Chaotic Dynamics on Inertial Manifolds Constructed as Spectral Submanifolds
Aihui Liu, Joar Axås, George Haller
We present a data-driven and interpretable approach for reducing the dimensionality of chaotic systems using spectral submanifolds (SSMs). Emanating from fixed points or periodic o…
Nonlinear Model Reduction to Fractional and Mixed-Mode Spectral Submanifolds
George Haller, Bálint Kaszás, Aihui Liu +1
A primary spectral submanifold (SSM) is the unique smoothest nonlinear continuation of a nonresonant spectral subspace of a dynamical system linearized at a fixed point. Passin…
Model reduction for nonlinearizable dynamics via delay-embedded spectral submanifolds
Joar Axås, George Haller
Delay embedding is a commonly employed technique in a wide range of data-driven model reduction methods for dynamical systems, including the Dynamic mode decomposition (DMD), the H…
Fast data-driven model reduction for nonlinear dynamical systems
Joar Axås, Mattia Cenedese, George Haller
We present a fast method for nonlinear data-driven model reduction of dynamical systems onto their slowest nonresonant spectral submanifolds (SSMs). We use observed data to locate…
Data-Driven Modeling and Prediction of Non-Linearizable Dynamics via Spectral Submanifolds
Mattia Cenedese, Joar Axås, Bastian Bäuerlein +2
We develop a methodology to construct low-dimensional predictive models from data sets representing essentially nonlinear (or non-linearizable) dynamical systems with a hyperbolic…
Data-driven Nonlinear Model Reduction to Spectral Submanifolds in Mechanical Systems
Mattia Cenedese, Joar Axås, Haocheng Yang +2
While data-driven model reduction techniques are well-established for linearizable mechanical systems, general approaches to reducing non-linearizable systems with multiple coexist…