4 papers
Deep reconstruction of strange attractors from time series
William Gilpin
Experimental measurements of physical systems often have a limited number of independent channels, causing essential dynamical variables to remain unobserved. However, many popular…
Lagrange2D: A Mathematica package for Lagrangian analysis of two-dimensional fluid flows
William Gilpin
We introduce Lagrange2D, a Mathematica package for analysis and characterization of complex fluid flows using Lagrangian transport metrics. Lagrange2D includes built-in functions f…
Cellular automata as convolutional neural networks
William Gilpin
Deep learning techniques have recently demonstrated broad success in predicting complex dynamical systems ranging from turbulence to human speech, motivating broader questions abou…
Rapid behavioral transitions produce chaotic mixing by a planktonic microswimmer
William Gilpin, Vivek N. Prakash, Manu Prakash
Despite their vast morphological diversity, many invertebrates have similar larval forms characterized by ciliary bands, innervated arrays of beating cilia that facilitate swimming…