Koopman Spectrum for Cascaded Systems

This paper was co-written by our founder and lead-scientist, Igor Mezic along with Aimdyn scientist and colleague, Ryan Mohr. Abstract: This paper considers the evolution of Koopman principal eigenfunctions of cascaded dynamical sys- tems. If each component subsystem is asymptotically stable, the matrix norms of the linear parts of the component subsystems are strictly increasing, …

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AIMdyn Scientists Analyze Data Driven Modal Decompositions

The Dynamic Mode Decomposition (DMD) is a tool of trade in computational data driven analysis of fluid flows. More generally, it is a computational device for Koopman spectral analysis of nonlinear dynamical systems, with a plethora of applications in applied sciences and engineering. Its exceptional performance triggered developments of several modifications that make the DMD …

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Aimdyn Named a Top Program by Air Force Office of Scientific Research

Aimdyn was recently listed in the Air Force Office of Scientific Research’s publication as one of their top research programs from 1951 to present day. The honor was bestowed upon Aimdyn after a research project led by Aimdyn founder Dr. Igor Mezic directly assisted in the discovery of new methods for passive mitigation of thermoacoustic …

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Aimdyn Meets with DARPA and Other Agencies to Discuss Dynamical Data Analysis

The meeting was called, “A Data Driven Operator Theoretic Framework for Space-time Analysis of Process Dynamics,” and funded by DARPA.  There were participants from Princeton, Courant Institute of the New YorkUniversity, University of Washibgton, and visitors from e.g. the Hughes Research Labs, the United Technologies Research Center and the Institute for Disease Modeling funded by …

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