output
20132025
most citedDiscovering governing equations from data: Sparse identification of nonlinear dynamical systems

4.8k citations

Showing 2016Show all

5 papers · 1 filter

eess.SY2016★ 1 cited

Optimal Control with Limited Sensing via Empirical Gramians and Piecewise Linear Feedback

Atiye Alaeddini, Kristi A. Morgansen, Mehran Mesbahi

This paper is concerned with the design of optimal control for finite-dimensional control-affine nonlinear dynamical systems. We introduce an optimal control problem that specifica…

q-bio.PE2016★ 11 cited

Saturation Effects and the Concurrency Hypothesis: Insights from an Analytic Model

Joel C. Miller, Anja C. Slim

Sexual partnerships that overlap in time (concurrent relationships) may play a significant role in the HIV epidemic, but the precise effect is unclear. We derive edge-based compart…

math.DS2016★ 629 cited

Chaos as an Intermittently Forced Linear System

Steven L. Brunton, Bingni W. Brunton, Joshua L. Proctor +2

Understanding the interplay of order and disorder in chaotic systems is a central challenge in modern quantitative science. We present a universal, data-driven decomposition of cha…

math.DS2016★ 68 cited

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…

q-bio.PE2016★ 37 cited

Malaria elimination campaigns in the Lake Kariba region of Zambia: a spatial dynamical model

Milen Nikolov, Caitlin A. Bever, Alexander Upfill-Brown +5

Background As more regions approach malaria elimination, understanding how different interventions interact to reduce transmission becomes critical. The Lake Kariba area of Souther…