Lin, Yen Ting; Tian, Yifeng; Perez, Danny; Livescu, Daniel Regression-based projection for learning Mori-Zwanzig operators. (English) Zbl 07773373 SIAM J. Appl. Dyn. Syst. 22, No. 4, 2890-2926 (2023). MSC: 37M99 46N55 62M10 PDFBibTeX XMLCite \textit{Y. T. Lin} et al., SIAM J. Appl. Dyn. Syst. 22, No. 4, 2890--2926 (2023; Zbl 07773373) Full Text: DOI arXiv
Andreuzzi, Francesco; Demo, Nicola; Rozza, Gianluigi A dynamic mode decomposition extension for the forecasting of parametric dynamical systems. (English) Zbl 1527.37094 SIAM J. Appl. Dyn. Syst. 22, No. 3, 2432-2458 (2023). MSC: 37M99 PDFBibTeX XMLCite \textit{F. Andreuzzi} et al., SIAM J. Appl. Dyn. Syst. 22, No. 3, 2432--2458 (2023; Zbl 1527.37094) Full Text: DOI arXiv
Berry, Tyrus; Das, Suddhasattwa Learning theory for dynamical systems. (English) Zbl 1526.37089 SIAM J. Appl. Dyn. Syst. 22, No. 3, 2082-2122 (2023). MSC: 37M25 37M05 37M10 37N30 37D25 37D20 PDFBibTeX XMLCite \textit{T. Berry} and \textit{S. Das}, SIAM J. Appl. Dyn. Syst. 22, No. 3, 2082--2122 (2023; Zbl 1526.37089) Full Text: DOI arXiv
Tumelty, J.; Beaume, Cedric; Rucklidge, Alastair M. Toward convectons in the supercritical regime: homoclinic snaking in natural doubly diffusive convection. (English) Zbl 07723357 SIAM J. Appl. Dyn. Syst. 22, No. 3, 1710-1742 (2023). MSC: 68Q25 68R10 68U05 PDFBibTeX XMLCite \textit{J. Tumelty} et al., SIAM J. Appl. Dyn. Syst. 22, No. 3, 1710--1742 (2023; Zbl 07723357) Full Text: DOI arXiv
Abo, Stéphanie M. C.; Carrillo, José A.; Layton, Anita T. Can the clocks tick together despite the noise? Stochastic simulations and analysis. (English) Zbl 1519.92011 SIAM J. Appl. Dyn. Syst. 22, No. 2, 850-877 (2023). MSC: 92B25 82C31 60H10 35Q83 PDFBibTeX XMLCite \textit{S. M. C. Abo} et al., SIAM J. Appl. Dyn. Syst. 22, No. 2, 850--877 (2023; Zbl 1519.92011) Full Text: DOI arXiv
Breden, Maxime A posteriori validation of generalized polynomial chaos expansions. (English) Zbl 07712414 SIAM J. Appl. Dyn. Syst. 22, No. 2, 765-801 (2023). MSC: 37M21 34F05 42C05 41A58 60H35 65P20 65P30 PDFBibTeX XMLCite \textit{M. Breden}, SIAM J. Appl. Dyn. Syst. 22, No. 2, 765--801 (2023; Zbl 07712414) Full Text: DOI arXiv
Dunbar, Oliver R. A.; Duncan, Andrew B.; Stuart, Andrew M.; Wolfram, Marie-Therese Ensemble inference methods for models with noisy and expensive likelihoods. (English) Zbl 1493.62124 SIAM J. Appl. Dyn. Syst. 21, No. 2, 1539-1572 (2022). MSC: 62F15 65C05 65N21 60J22 62-08 PDFBibTeX XMLCite \textit{O. R. A. Dunbar} et al., SIAM J. Appl. Dyn. Syst. 21, No. 2, 1539--1572 (2022; Zbl 1493.62124) Full Text: DOI arXiv
Biswas, Animikh; Bradshaw, Zachary; Jolly, Michael S. Data assimilation for the Navier-Stokes equations using local observables. (English) Zbl 1480.35309 SIAM J. Appl. Dyn. Syst. 20, No. 4, 2174-2203 (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 35Q93 34D06 76B75 93B07 PDFBibTeX XMLCite \textit{A. Biswas} et al., SIAM J. Appl. Dyn. Syst. 20, No. 4, 2174--2203 (2021; Zbl 1480.35309) Full Text: DOI arXiv
Sánchez Umbría, J.; Net, M. Continuation of double Hopf points in thermal convection of rotating fluid spheres. (English) Zbl 1465.76040 SIAM J. Appl. Dyn. Syst. 20, No. 1, 208-231 (2021). MSC: 76E06 76E07 76E20 PDFBibTeX XMLCite \textit{J. Sánchez Umbría} and \textit{M. Net}, SIAM J. Appl. Dyn. Syst. 20, No. 1, 208--231 (2021; Zbl 1465.76040) Full Text: DOI
Han, Daozhi; Hernandez, Marco; Wang, Quan Dynamic transitions and bifurcations for a class of axisymmetric geophysical fluid flow. (English) Zbl 1461.76172 SIAM J. Appl. Dyn. Syst. 20, No. 1, 38-64 (2021). MSC: 76E20 76U60 86A05 PDFBibTeX XMLCite \textit{D. Han} et al., SIAM J. Appl. Dyn. Syst. 20, No. 1, 38--64 (2021; Zbl 1461.76172) Full Text: DOI
Farhat, A.; Glatt-Holtz, N. E.; Martinez, V. R.; McQuarrie, S. A.; Whitehead, J. P. Data assimilation in large Prandtl Rayleigh-Bénard convection from thermal measurements. (English) Zbl 1434.76041 SIAM J. Appl. Dyn. Syst. 19, No. 1, 510-540 (2020). MSC: 76E06 62M20 35Q35 76-10 62P35 PDFBibTeX XMLCite \textit{A. Farhat} et al., SIAM J. Appl. Dyn. Syst. 19, No. 1, 510--540 (2020; Zbl 1434.76041) Full Text: DOI arXiv
Breden, Maxime; Kuehn, Christian Computing invariant sets of random differential equations using polynomial chaos. (English) Zbl 1441.37057 SIAM J. Appl. Dyn. Syst. 19, No. 1, 577-618 (2020). Reviewer: Carlo Laing (Auckland) MSC: 37H10 37H05 37M21 37M22 34F05 60H35 41A58 65C30 PDFBibTeX XMLCite \textit{M. Breden} and \textit{C. Kuehn}, SIAM J. Appl. Dyn. Syst. 19, No. 1, 577--618 (2020; Zbl 1441.37057) Full Text: DOI arXiv
Kairzhan, Adilbek; Pelinovsky, Dmitry E.; Goodman, Roy H. Drift of spectrally stable shifted states on star graphs. (English) Zbl 1435.35401 SIAM J. Appl. Dyn. Syst. 18, No. 4, 1723-1755 (2019). MSC: 35R02 35Q55 37K45 PDFBibTeX XMLCite \textit{A. Kairzhan} et al., SIAM J. Appl. Dyn. Syst. 18, No. 4, 1723--1755 (2019; Zbl 1435.35401) Full Text: DOI arXiv
Celik, Emine; Olson, Eric; Titi, Edriss S. Spectral filtering of interpolant observables for a discrete-in-time downscaling data assimilation algorithm. (English) Zbl 1428.35276 SIAM J. Appl. Dyn. Syst. 18, No. 2, 1118-1142 (2019). MSC: 35Q30 37C50 76B75 93C20 PDFBibTeX XMLCite \textit{E. Celik} et al., SIAM J. Appl. Dyn. Syst. 18, No. 2, 1118--1142 (2019; Zbl 1428.35276) Full Text: DOI arXiv
Pan, Shaowu; Duraisamy, Karthik Data-driven discovery of closure models. (English) Zbl 1411.70023 SIAM J. Appl. Dyn. Syst. 17, No. 4, 2381-2413 (2018). MSC: 70G60 76F20 82D10 PDFBibTeX XMLCite \textit{S. Pan} and \textit{K. Duraisamy}, SIAM J. Appl. Dyn. Syst. 17, No. 4, 2381--2413 (2018; Zbl 1411.70023) Full Text: DOI arXiv
Fetecau, R. C.; Kovacic, M. Swarm equilibria in domains with boundaries. (English) Zbl 1375.35569 SIAM J. Appl. Dyn. Syst. 16, No. 3, 1260-1308 (2017). MSC: 35Q92 35B41 92C15 35A15 45B05 45K05 70K20 PDFBibTeX XMLCite \textit{R. C. Fetecau} and \textit{M. Kovacic}, SIAM J. Appl. Dyn. Syst. 16, No. 3, 1260--1308 (2017; Zbl 1375.35569) Full Text: DOI arXiv
Dellnitz, Michael; Klus, Stefan; Ziessler, Adrian A set-oriented numerical approach for dynamical systems with parameter uncertainty. (English) Zbl 1357.65308 SIAM J. Appl. Dyn. Syst. 16, No. 1, 120-138 (2017). MSC: 65P20 37D45 37M15 PDFBibTeX XMLCite \textit{M. Dellnitz} et al., SIAM J. Appl. Dyn. Syst. 16, No. 1, 120--138 (2017; Zbl 1357.65308) Full Text: DOI arXiv
Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S. A discrete data assimilation scheme for the solutions of the two-dimensional Navier-Stokes equations and their statistics. (English) Zbl 1362.35208 SIAM J. Appl. Dyn. Syst. 15, No. 4, 2109-2142 (2016). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 35Q30 37C50 76B75 93C20 PDFBibTeX XMLCite \textit{C. Foias} et al., SIAM J. Appl. Dyn. Syst. 15, No. 4, 2109--2142 (2016; Zbl 1362.35208) Full Text: DOI arXiv
Bernoff, Andrew J.; Topaz, Chad M. Biological aggregation driven by social and environmental factors: a nonlocal model and its degenerate Cahn-Hilliard approximation. (English) Zbl 1351.35228 SIAM J. Appl. Dyn. Syst. 15, No. 3, 1528-1562 (2016). MSC: 35Q92 92D50 92C15 35R09 45K05 PDFBibTeX XMLCite \textit{A. J. Bernoff} and \textit{C. M. Topaz}, SIAM J. Appl. Dyn. Syst. 15, No. 3, 1528--1562 (2016; Zbl 1351.35228) Full Text: DOI arXiv
Net, M.; Sánchez, J. Continuation of bifurcations of periodic orbits for large-scale systems. (English) Zbl 1370.37101 SIAM J. Appl. Dyn. Syst. 14, No. 2, 674-698 (2015). MSC: 37G15 37L15 37L20 37M05 37M20 65P30 65Z05 76D05 76E06 76M22 PDFBibTeX XMLCite \textit{M. Net} and \textit{J. Sánchez}, SIAM J. Appl. Dyn. Syst. 14, No. 2, 674--698 (2015; Zbl 1370.37101) Full Text: DOI Link
Burger, Martin; Fetecau, Razvan; Huang, Yanghong Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. (English) Zbl 1302.35386 SIAM J. Appl. Dyn. Syst. 13, No. 1, 397-424 (2014). MSC: 35R09 35B40 74G55 74G65 PDFBibTeX XMLCite \textit{M. Burger} et al., SIAM J. Appl. Dyn. Syst. 13, No. 1, 397--424 (2014; Zbl 1302.35386) Full Text: DOI arXiv