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

4.8k citations

Showing 2015Show all

5 papers · 1 filter

math.DS2015★ 638 cited

Koopman invariant subspaces and finite linear representations of nonlinear dynamical systems for control

Steven L. Brunton, Bingni W. Brunton, Joshua L. Proctor +1

In this work, we explore finite-dimensional linear representations of nonlinear dynamical systems by restricting the Koopman operator to an invariant subspace. The Koopman operator…

math.DS2015★ 4.8k cited

Discovering governing equations from data: Sparse identification of nonlinear dynamical systems

Steven L. Brunton, Joshua L. Proctor, J. Nathan Kutz

The ability to discover physical laws and governing equations from data is one of humankind's greatest intellectual achievements. A quantitative understanding of dynamic constraint…

q-bio.PE2015★ 47 cited

Optimal population-level infection detection strategies for malaria control and elimination in a spatial model of malaria transmission

Jaline Gerardin, Caitlin A. Bever, Busiku Hamainza +3

Mass campaigns with antimalarial drugs are potentially a powerful tool for local elimination of malaria, yet current diagnostic technologies are insufficiently sensitive to identif…

physics.soc-ph2015★ 42 cited

Equivalence of several generalized percolation models on networks

Joel C. Miller

In recent years, many variants of percolation have been used to study network structure and the behavior of processes spreading on networks. These include bond percolation, site pe…

q-bio.PE2015★ 19 cited

Has wild poliovirus been eliminated from Nigeria?

Michael Famulare

Wild poliovirus type 3 (WPV3) has not been seen anywhere since the last case of WPV3-associated paralysis in Nigeria in November 2012. At the time of writing, the most recent case…