Matches in SemOpenAlex for { <https://semopenalex.org/work/W4308593058> ?p ?o ?g. }
- W4308593058 endingPage "7957" @default.
- W4308593058 startingPage "7941" @default.
- W4308593058 abstract "Abstract We present a fast method for nonlinear data-driven model reduction of dynamical systems onto their slowest nonresonant spectral submanifolds (SSMs). While the recently proposed reduced-order modeling method SSMLearn uses implicit optimization to fit a spectral submanifold to data and reduce the dynamics to a normal form, here, we reformulate these tasks as explicit problems under certain simplifying assumptions. In addition, we provide a novel method for timelag selection when delay-embedding signals from multimodal systems. We show that our alternative approach to data-driven SSM construction yields accurate and sparse rigorous models for essentially nonlinear (or non-linearizable ) dynamics on both numerical and experimental datasets. Aside from a major reduction in complexity, our new method allows an increase in the training data dimensionality by several orders of magnitude. This promises to extend data-driven, SSM-based modeling to problems with hundreds of thousands of degrees of freedom." @default.
- W4308593058 created "2022-11-12" @default.
- W4308593058 creator A5006883611 @default.
- W4308593058 creator A5022723410 @default.
- W4308593058 creator A5052825919 @default.
- W4308593058 date "2022-11-08" @default.
- W4308593058 modified "2023-09-26" @default.
- W4308593058 title "Fast data-driven model reduction for nonlinear dynamical systems" @default.
- W4308593058 cites W1410907832 @default.
- W4308593058 cites W1549386224 @default.
- W4308593058 cites W1965357685 @default.
- W4308593058 cites W1987166016 @default.
- W4308593058 cites W1989018928 @default.
- W4308593058 cites W2000339543 @default.
- W4308593058 cites W2006670082 @default.
- W4308593058 cites W2011427088 @default.
- W4308593058 cites W2014356541 @default.
- W4308593058 cites W2037758750 @default.
- W4308593058 cites W2050265840 @default.
- W4308593058 cites W2053759602 @default.
- W4308593058 cites W2068001203 @default.
- W4308593058 cites W2089876099 @default.
- W4308593058 cites W2122814919 @default.
- W4308593058 cites W2164007556 @default.
- W4308593058 cites W2239232218 @default.
- W4308593058 cites W2605267476 @default.
- W4308593058 cites W2734785516 @default.
- W4308593058 cites W2752462071 @default.
- W4308593058 cites W2762020428 @default.
- W4308593058 cites W2810004585 @default.
- W4308593058 cites W2901625726 @default.
- W4308593058 cites W2905414106 @default.
- W4308593058 cites W2964025625 @default.
- W4308593058 cites W2990963694 @default.
- W4308593058 cites W3021395852 @default.
- W4308593058 cites W3033760322 @default.
- W4308593058 cites W3048762851 @default.
- W4308593058 cites W3080333993 @default.
- W4308593058 cites W3102836290 @default.
- W4308593058 cites W3105889694 @default.
- W4308593058 cites W3107466392 @default.
- W4308593058 cites W3193643633 @default.
- W4308593058 cites W3197815303 @default.
- W4308593058 cites W3203014670 @default.
- W4308593058 cites W3203180379 @default.
- W4308593058 cites W3205876219 @default.
- W4308593058 cites W4205319896 @default.
- W4308593058 cites W4212958356 @default.
- W4308593058 cites W4226290066 @default.
- W4308593058 cites W4238160257 @default.
- W4308593058 cites W4239340087 @default.
- W4308593058 cites W4289981716 @default.
- W4308593058 cites W4293236413 @default.
- W4308593058 doi "https://doi.org/10.1007/s11071-022-08014-0" @default.
- W4308593058 hasPublicationYear "2022" @default.
- W4308593058 type Work @default.
- W4308593058 citedByCount "2" @default.
- W4308593058 countsByYear W43085930582023 @default.
- W4308593058 crossrefType "journal-article" @default.
- W4308593058 hasAuthorship W4308593058A5006883611 @default.
- W4308593058 hasAuthorship W4308593058A5022723410 @default.
- W4308593058 hasAuthorship W4308593058A5052825919 @default.
- W4308593058 hasBestOaLocation W43085930581 @default.
- W4308593058 hasConcept C111335779 @default.
- W4308593058 hasConcept C11413529 @default.
- W4308593058 hasConcept C121332964 @default.
- W4308593058 hasConcept C154945302 @default.
- W4308593058 hasConcept C158622935 @default.
- W4308593058 hasConcept C208081375 @default.
- W4308593058 hasConcept C2524010 @default.
- W4308593058 hasConcept C2779277453 @default.
- W4308593058 hasConcept C28826006 @default.
- W4308593058 hasConcept C33923547 @default.
- W4308593058 hasConcept C41008148 @default.
- W4308593058 hasConcept C41608201 @default.
- W4308593058 hasConcept C57493831 @default.
- W4308593058 hasConcept C62520636 @default.
- W4308593058 hasConcept C70518039 @default.
- W4308593058 hasConcept C77405623 @default.
- W4308593058 hasConcept C79379906 @default.
- W4308593058 hasConceptScore W4308593058C111335779 @default.
- W4308593058 hasConceptScore W4308593058C11413529 @default.
- W4308593058 hasConceptScore W4308593058C121332964 @default.
- W4308593058 hasConceptScore W4308593058C154945302 @default.
- W4308593058 hasConceptScore W4308593058C158622935 @default.
- W4308593058 hasConceptScore W4308593058C208081375 @default.
- W4308593058 hasConceptScore W4308593058C2524010 @default.
- W4308593058 hasConceptScore W4308593058C2779277453 @default.
- W4308593058 hasConceptScore W4308593058C28826006 @default.
- W4308593058 hasConceptScore W4308593058C33923547 @default.
- W4308593058 hasConceptScore W4308593058C41008148 @default.
- W4308593058 hasConceptScore W4308593058C41608201 @default.
- W4308593058 hasConceptScore W4308593058C57493831 @default.
- W4308593058 hasConceptScore W4308593058C62520636 @default.
- W4308593058 hasConceptScore W4308593058C70518039 @default.
- W4308593058 hasConceptScore W4308593058C77405623 @default.
- W4308593058 hasConceptScore W4308593058C79379906 @default.
- W4308593058 hasIssue "9" @default.