115 citations · 144 across the 4 of their papers we have counts for
8 papers
Network Structure of Two-Dimensional Decaying Isotropic Turbulence
Kunihiko Taira, Aditya G. Nair, Steven L. Brunton
The present paper reports on our effort to characterize vortical interactions in complex fluid flows through the use of network analysis. In particular, we examine the vortex inter…
Inferring biological networks by sparse identification of nonlinear dynamics
Niall M. Mangan, Steven L. Brunton, Joshua L. Proctor +1
Inferring the structure and dynamics of network models is critical to understanding the functionality and control of complex systems, such as metabolic and regulatory biological ne…
Sparse Identification of Nonlinear Dynamics with Control (SINDYc)
Steven L. Brunton, Joshua L. Proctor, J. Nathan Kutz
Identifying governing equations from data is a critical step in the modeling and control of complex dynamical systems. Here, we investigate the data-driven identification of nonlin…
Intracycle Angular Velocity Control of Cross-Flow Turbines
Benjamin Strom, Steven L. Brunton, Brian Polagye
Cross-flow turbines, also known as vertical-axis turbines, have numerous features that make them attractive for wind and marine renewable energy. To maximize power output, the turb…
Generalizing Koopman Theory to allow for inputs and control
Joshua L. Proctor, Steven L. Brunton, J. Nathan Kutz
We develop a new generalization of Koopman operator theory that incorporates the effects of inputs and control. Koopman spectral analysis is a theoretical tool for the analysis of…
Multi-Resolution Dynamic Mode Decomposition
J. Nathan Kutz, Xing Fu, Steven L. Brunton
We demonstrate that the integration of the recently developed dynamic mode decomposition (DMD) with a multi-resolution analysis allows for a decomposition method capable of robustl…