{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,28]],"date-time":"2026-07-28T10:25:03Z","timestamp":1785234303867,"version":"3.55.0"},"reference-count":77,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2018,12,12]],"date-time":"2018-12-12T00:00:00Z","timestamp":1544572800000},"content-version":"vor","delay-in-days":345,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003329","name":"Ministerio de Econom\u00eda y Competitividad","doi-asserted-by":"publisher","award":["TRA2016-75075-R"],"award-info":[{"award-number":["TRA2016-75075-R"]}],"id":[{"id":"10.13039\/501100003329","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>This article presents a review on two methods based on dynamic mode decomposition and its multiple applications, focusing on higher order dynamic mode decomposition (which provides a purely temporal Fourier\u2010like decomposition) and spatiotemporal Koopman decomposition (which gives a spatiotemporal Fourier\u2010like decomposition). These methods are purely data\u2010driven, using either numerical or experimental data, and permit reconstructing the given data and identifying the temporal growth rates and frequencies involved in the dynamics and the spatial growth rates and wavenumbers in the case of the spatiotemporal Koopman decomposition. Thus, they may be used to either identify and extrapolate the dynamics from transient behavior to permanent dynamics or construct efficient, purely data\u2010driven reduced order models.<\/jats:p>","DOI":"10.1155\/2018\/6920783","type":"journal-article","created":{"date-parts":[[2018,12,12]],"date-time":"2018-12-12T23:31:00Z","timestamp":1544657460000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":28,"title":["Analyzing Nonlinear Dynamics via Data\u2010Driven Dynamic Mode Decomposition\u2010Like Methods"],"prefix":"10.1155","volume":"2018","author":[{"given":"Soledad","family":"Le Clainche","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4307-9623","authenticated-orcid":false,"given":"Jos\u00e9 M.","family":"Vega","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2018,12,12]]},"reference":[{"key":"e_1_2_9_1_2","volume-title":"Numerical Recipes in C: The Art of Scientific Computing","author":"Press W. 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