73 citations · 369 across the 22 of their papers we have counts for
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math.DS2017
Solving the Babylonian Problem of quasiperiodic rotation rates
Suddhasattwa Das, Yoshitaka Saiki, Evelyn Sander +1
A trajectory is quasiperiodic if the trajectory lies on and is dense in some -dimensional torus, and there is a choice of coordinates on the…
math.DS2017★ 20 cited
Extraction and Prediction of Coherent Patterns in Incompressible Flows through Space-Time Koopman Analysis
Dimitrios Giannakis, Suddhasattwa Das
We develop methods for detecting and predicting the evolution of coherent spatiotemporal patterns in incompressible time-dependent fluid flows driven by ergodic dynamical systems.…
math.DS2017★ 73 cited
Delay-coordinate maps and the spectra of Koopman operators
Suddhasattwa Das, Dimitrios Giannakis
The Koopman operator induced by a dynamical system is inherently linear and provides an alternate method of studying many properties of the system, including attractor reconstructi…