{"product_id":"9781009323857","title":"Latent Modes Of Nonlinear Flows (Elements In Non-Local Data Interactions: Foundations And Applications)","description":"Extracting the latent underlying structures of complex nonlinear local and nonlocal flows is essential for their analysis and modeling. In this Element the authors attempt to provide a consistent framework through Koopman theory and its related popular discrete approximation - dynamic mode decomposition (DMD). They investigate the conditions to perform appropriate linearization, dimensionality reduction and representation of flows in a highly general setting. The essential elements of this framework are Koopman eigenfunctions (KEFs) for which existence conditions are formulated. This is done by viewing the dynamic as a curve in state-space. These conditions lay the foundations for system reconstruction, global controllability, and observability for nonlinear dynamics. They examine the limitations of DMD through the analysis of Koopman theory and propose a new mode decomposition technique based on the typical time profile of the dynamics.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003e| \u003cb\u003eAuthor: \u003c\/b\u003eIdo Cohen, Guy Gilboa\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003ePublisher: \u003c\/b\u003eCambridge University Press\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003ePublication Date: \u003c\/b\u003eJun 29, 2023\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003eNumber of Pages: \u003c\/b\u003e64 pages\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003eLanguage: \u003c\/b\u003eEnglish\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003eBinding: \u003c\/b\u003ePaperback\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003eISBN-10: \u003c\/b\u003e1009323857\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003eISBN-13: \u003c\/b\u003e9781009323857\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":47839910986033,"sku":"9781009323857","price":27.45,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0798\/8215\/8385\/products\/9781009323857.jpg?v=1701004377","url":"https:\/\/www.recomparo.com\/products\/9781009323857","provider":"ReComparo.com","version":"1.0","type":"link"}