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math.DS2018
Model selection for hybrid dynamical systems via sparse regression
Niall M Mangan, Travis Askham, Steven L Brunton +2
Hybrid systems are traditionally difficult to identify and analyze using classical dynamical systems theory. Moreover, recently developed model identification methodologies largely…
math.DS2016
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…
math.DS2016
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…