Bosschaert, M. M.; Kuznetsov, Yu. A. Bifurcation analysis of Bogdanov-Takens bifurcations in delay differential equations. (English) Zbl 07803217 SIAM J. Appl. Dyn. Syst. 23, No. 1, 553-591 (2024). MSC: 37G05 37G10 65P30 34K16 34K18 34K19 PDFBibTeX XMLCite \textit{M. M. Bosschaert} and \textit{Yu. A. Kuznetsov}, SIAM J. Appl. Dyn. Syst. 23, No. 1, 553--591 (2024; Zbl 07803217) Full Text: DOI arXiv
Hénot, Olivier; Lessard, Jean-Philippe; James, Jason D. Mireles Numerical computation of transverse homoclinic orbits for periodic solutions of delay differential equations. (English) Zbl 07773361 SIAM J. Appl. Dyn. Syst. 22, No. 4, 3093-3129 (2023). MSC: 37M21 37C29 34C37 34K16 PDFBibTeX XMLCite \textit{O. Hénot} et al., SIAM J. Appl. Dyn. Syst. 22, No. 4, 3093--3129 (2023; Zbl 07773361) 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
Varzaneh, M. Ghani; Riedel, S.; Scheutzow, M. A dynamical theory for singular stochastic delay differential equations. I: Linear equations and a multiplicative ergodic theorem on fields of Banach spaces. (English) Zbl 1490.34103 SIAM J. Appl. Dyn. Syst. 21, No. 1, 542-587 (2022). MSC: 34K50 37H10 37H15 60H99 60G15 34K25 PDFBibTeX XMLCite \textit{M. G. Varzaneh} et al., SIAM J. Appl. Dyn. Syst. 21, No. 1, 542--587 (2022; Zbl 1490.34103) Full Text: DOI arXiv
Gimeno, Joan; Yang, Jiaqi; de la Llave, Rafael Numerical computation of periodic orbits and isochrons for state-dependent delay perturbation of an ODE in the plane. (English) Zbl 1487.37094 SIAM J. Appl. Dyn. Syst. 20, No. 3, 1514-1543 (2021). Reviewer: Fernando Casas (Castellon) MSC: 37M05 37M21 37C27 34C07 34C25 PDFBibTeX XMLCite \textit{J. Gimeno} et al., SIAM J. Appl. Dyn. Syst. 20, No. 3, 1514--1543 (2021; Zbl 1487.37094) Full Text: DOI arXiv
de Wolff, B. A. J.; Scarabel, F.; Verduyn Lunel, S. M.; Diekmann, O. Pseudospectral approximation of Hopf bifurcation for delay differential equations. (English) Zbl 1470.34185 SIAM J. Appl. Dyn. Syst. 20, No. 1, 333-370 (2021). Reviewer: Chunrui Zhang (Harbin) MSC: 34K18 37M20 65P30 65L03 34K17 34K13 PDFBibTeX XMLCite \textit{B. A. J. de Wolff} et al., SIAM J. Appl. Dyn. Syst. 20, No. 1, 333--370 (2021; Zbl 1470.34185) Full Text: DOI arXiv
Haskovec, Jan A simple proof of asymptotic consensus in the Hegselmann-Krause and Cucker-Smale models with normalization and delay. (English) Zbl 1466.34073 SIAM J. Appl. Dyn. Syst. 20, No. 1, 130-148 (2021). MSC: 34K60 92D50 34K25 82C22 PDFBibTeX XMLCite \textit{J. Haskovec}, SIAM J. Appl. Dyn. Syst. 20, No. 1, 130--148 (2021; Zbl 1466.34073) Full Text: DOI arXiv
Briat, Corentin; Khammash, Mustafa Ergodicity analysis and antithetic integral control of a class of stochastic reaction networks with delays. (English) Zbl 1458.60093 SIAM J. Appl. Dyn. Syst. 19, No. 3, 1575-1608 (2020). MSC: 60J74 80A30 92C42 93B52 PDFBibTeX XMLCite \textit{C. Briat} and \textit{M. Khammash}, SIAM J. Appl. Dyn. Syst. 19, No. 3, 1575--1608 (2020; Zbl 1458.60093) Full Text: DOI arXiv
Kamb, Mason; Kaiser, Eurika; Brunton, Steven L.; Kutz, J. Nathan Time-delay observables for Koopman: theory and applications. (English) Zbl 1441.37090 SIAM J. Appl. Dyn. Syst. 19, No. 2, 886-917 (2020). MSC: 37M10 37N30 PDFBibTeX XMLCite \textit{M. Kamb} et al., SIAM J. Appl. Dyn. Syst. 19, No. 2, 886--917 (2020; Zbl 1441.37090) Full Text: DOI arXiv
Bosschaert, Maikel M.; Janssens, Sebastiaan G.; Kuznetsov, Yu. A. Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations. (English) Zbl 07175469 SIAM J. Appl. Dyn. Syst. 19, No. 1, 252-303 (2020). Reviewer: Jian Peng (Xiangtan) MSC: 34K18 34K19 34K60 37L10 37M20 PDFBibTeX XMLCite \textit{M. M. Bosschaert} et al., SIAM J. Appl. Dyn. Syst. 19, No. 1, 252--303 (2020; Zbl 07175469) Full Text: DOI arXiv
Quinn, Courtney; Sieber, Jan; von der Heydt, Anna S. Effects of periodic forcing on a paleoclimate delay model. (English) Zbl 1428.37087 SIAM J. Appl. Dyn. Syst. 18, No. 2, 1060-1077 (2019). MSC: 37N10 37M20 86A08 37M21 PDFBibTeX XMLCite \textit{C. Quinn} et al., SIAM J. Appl. Dyn. Syst. 18, No. 2, 1060--1077 (2019; Zbl 1428.37087) Full Text: DOI arXiv
De Souza, Daniel C.; Humphries, A. R. Dynamics of a mathematical hematopoietic stem-cell population model. (English) Zbl 1416.34066 SIAM J. Appl. Dyn. Syst. 18, No. 2, 808-852 (2019). MSC: 34K60 34K13 34K18 34K23 37G15 37L30 92C37 34K19 PDFBibTeX XMLCite \textit{D. C. De Souza} and \textit{A. R. Humphries}, SIAM J. Appl. Dyn. Syst. 18, No. 2, 808--852 (2019; Zbl 1416.34066) Full Text: DOI arXiv
Champion, Kathleen P.; Brunton, Steven L.; Kutz, J. Nathan Discovery of nonlinear multiscale systems: sampling strategies and embeddings. (English) Zbl 1474.65476 SIAM J. Appl. Dyn. Syst. 18, No. 1, 312-333 (2019). MSC: 65P99 37M10 37N10 62K99 15B99 PDFBibTeX XMLCite \textit{K. P. Champion} et al., SIAM J. Appl. Dyn. Syst. 18, No. 1, 312--333 (2019; Zbl 1474.65476) Full Text: DOI arXiv
Wang, Cheng; Zhang, Xiang Stability loss delay and smoothness of the return map in slow-fast systems. (English) Zbl 1396.34042 SIAM J. Appl. Dyn. Syst. 17, No. 1, 788-822 (2018). Reviewer: Vasile Dragan (Bucureşti) MSC: 34E15 34E20 34D05 34C20 34C05 PDFBibTeX XMLCite \textit{C. Wang} and \textit{X. Zhang}, SIAM J. Appl. Dyn. Syst. 17, No. 1, 788--822 (2018; Zbl 1396.34042) Full Text: DOI
Calleja, R. C.; Humphries, A. R.; Krauskopf, B. Resonance phenomena in a scalar delay differential equation with two state-dependent delays. (English) Zbl 1371.34115 SIAM J. Appl. Dyn. Syst. 16, No. 3, 1474-1513 (2017). MSC: 34K18 37M20 34K06 34K17 34K23 PDFBibTeX XMLCite \textit{R. C. Calleja} et al., SIAM J. Appl. Dyn. Syst. 16, No. 3, 1474--1513 (2017; Zbl 1371.34115) Full Text: DOI arXiv
Wang, Xiunan; Zhao, Xiao-Qiang Dynamics of a time-delayed Lyme disease model with seasonality. (English) Zbl 1365.35075 SIAM J. Appl. Dyn. Syst. 16, No. 2, 853-881 (2017). MSC: 35K57 37C65 92D30 35B10 35B40 PDFBibTeX XMLCite \textit{X. Wang} and \textit{X.-Q. Zhao}, SIAM J. Appl. Dyn. Syst. 16, No. 2, 853--881 (2017; Zbl 1365.35075) Full Text: DOI
Gomez, Marcella M.; Sadeghpour, Mehdi; Bennett, Matthew R.; Orosz, Gábor; Murray, Richard M. Stability of systems with stochastic delays and applications to genetic regulatory networks. (English) Zbl 1353.37106 SIAM J. Appl. Dyn. Syst. 15, No. 4, 1844-1873 (2016). MSC: 37H10 92C42 PDFBibTeX XMLCite \textit{M. M. Gomez} et al., SIAM J. Appl. Dyn. Syst. 15, No. 4, 1844--1873 (2016; Zbl 1353.37106) Full Text: DOI
Gomez, Marcella M.; Murray, Richard M.; Bennett, Matthew R. The effects of time-varying temperature on delays in genetic networks. (English) Zbl 1347.92023 SIAM J. Appl. Dyn. Syst. 15, No. 3, 1734-1752 (2016). MSC: 92C40 92D10 92C42 PDFBibTeX XMLCite \textit{M. M. Gomez} et al., SIAM J. Appl. Dyn. Syst. 15, No. 3, 1734--1752 (2016; Zbl 1347.92023) Full Text: DOI
Keane, Andrew; Krauskopf, Bernd; Postlethwaite, Claire Investigating irregular behavior in a model for the El Niño southern oscillation with positive and negative delayed feedback. (English) Zbl 1351.37270 SIAM J. Appl. Dyn. Syst. 15, No. 3, 1656-1689 (2016). MSC: 37N10 37L05 37M20 37G15 86A10 PDFBibTeX XMLCite \textit{A. Keane} et al., SIAM J. Appl. Dyn. Syst. 15, No. 3, 1656--1689 (2016; Zbl 1351.37270) Full Text: DOI
Breda, D.; Diekmann, O.; Gyllenberg, M.; Scarabel, F.; Vermiglio, R. Pseudospectral discretization of nonlinear delay equations: new prospects for numerical bifurcation analysis. (English) Zbl 1352.34101 SIAM J. Appl. Dyn. Syst. 15, No. 1, 1-23 (2016). MSC: 34K28 37M20 65J08 65L07 65P30 92D25 34K20 PDFBibTeX XMLCite \textit{D. Breda} et al., SIAM J. Appl. Dyn. Syst. 15, No. 1, 1--23 (2016; Zbl 1352.34101) Full Text: DOI
Insperger, Tamas; Milton, John; Stepan, Gabor Semidiscretization for time-delayed neural balance control. (English) Zbl 1316.93056 SIAM J. Appl. Dyn. Syst. 14, No. 3, 1258-1277 (2015). MSC: 93C23 93C30 92C20 PDFBibTeX XMLCite \textit{T. Insperger} et al., SIAM J. Appl. Dyn. Syst. 14, No. 3, 1258--1277 (2015; Zbl 1316.93056) Full Text: DOI Link
Keane, Andrew; Krauskopf, Bernd; Postlethwaite, Claire Delayed feedback versus seasonal forcing: resonance phenomena in an El Niño Southern Oscillation model. (English) Zbl 1320.37038 SIAM J. Appl. Dyn. Syst. 14, No. 3, 1229-1257 (2015). MSC: 37N10 34K18 37G15 37M20 PDFBibTeX XMLCite \textit{A. Keane} et al., SIAM J. Appl. Dyn. Syst. 14, No. 3, 1229--1257 (2015; Zbl 1320.37038) Full Text: DOI
Cummins, Bree; Gedeon, Tomáš; Spendlove, Kelly On the efficacy of state space reconstruction methods in determining causality. (English) Zbl 1370.37041 SIAM J. Appl. Dyn. Syst. 14, No. 1, 335-381 (2015). MSC: 37C20 34C45 34D45 PDFBibTeX XMLCite \textit{B. Cummins} et al., SIAM J. Appl. Dyn. Syst. 14, No. 1, 335--381 (2015; Zbl 1370.37041) Full Text: DOI Link
Lücken, L.; Pade, J. P.; Knauer, K. Classification of coupled dynamical systems with multiple delays: finding the minimal number of delays. (English) Zbl 1418.34069 SIAM J. Appl. Dyn. Syst. 14, No. 1, 286-304 (2015). MSC: 34B45 34K17 34K20 PDFBibTeX XMLCite \textit{L. Lücken} et al., SIAM J. Appl. Dyn. Syst. 14, No. 1, 286--304 (2015; Zbl 1418.34069) Full Text: DOI arXiv
Giannakis, Dimitrios Dynamics-adapted cone kernels. (English) Zbl 1370.37141 SIAM J. Appl. Dyn. Syst. 14, No. 2, 556-608 (2015). MSC: 37N10 37M10 62H11 PDFBibTeX XMLCite \textit{D. Giannakis}, SIAM J. Appl. Dyn. Syst. 14, No. 2, 556--608 (2015; Zbl 1370.37141) Full Text: DOI arXiv
Purewal, A. S.; Postlethwaite, C. M.; Krauskopf, B. A global bifurcation analysis of the subcritical Hopf normal form subject to Pyragas time-delayed feedback control. (English) Zbl 1323.37034 SIAM J. Appl. Dyn. Syst. 13, No. 4, 1879-1915 (2014). Reviewer: Denis Sidorov (Irkutsk) MSC: 37G15 34K13 34K18 93B52 PDFBibTeX XMLCite \textit{A. S. Purewal} et al., SIAM J. Appl. Dyn. Syst. 13, No. 4, 1879--1915 (2014; Zbl 1323.37034) Full Text: DOI Link
Bi, Ping; Ruan, Shigui Bifurcations in delay differential equations and applications to tumor and immune system interaction models. (English) Zbl 1284.34118 SIAM J. Appl. Dyn. Syst. 12, No. 4, 1847-1888 (2013). MSC: 34K60 34K18 92C37 34K17 34K19 34K20 34K13 PDFBibTeX XMLCite \textit{P. Bi} and \textit{S. Ruan}, SIAM J. Appl. Dyn. Syst. 12, No. 4, 1847--1888 (2013; Zbl 1284.34118) Full Text: DOI Link
Veltz, Romain Interplay between synaptic delays and propagation delays in neural field equations. (English) Zbl 1284.34116 SIAM J. Appl. Dyn. Syst. 12, No. 3, 1566-1612 (2013). MSC: 34K30 34K17 34K19 45G15 45P05 46E35 58C40 92B20 92C20 34K18 34K20 PDFBibTeX XMLCite \textit{R. Veltz}, SIAM J. Appl. Dyn. Syst. 12, No. 3, 1566--1612 (2013; Zbl 1284.34116) Full Text: DOI
Berry, T.; Cressman, J. R.; Gregurić-Ferenček, Z.; Sauer, T. Time-scale separation from diffusion-mapped delay coordinates. (English) Zbl 1291.37101 SIAM J. Appl. Dyn. Syst. 12, No. 2, 618-649 (2013). MSC: 37M10 37L30 62G07 PDFBibTeX XMLCite \textit{T. Berry} et al., SIAM J. Appl. Dyn. Syst. 12, No. 2, 618--649 (2013; Zbl 1291.37101) Full Text: DOI
Sahai, Tuhin; Vladimirsky, Alexander Numerical methods for approximating invariant manifolds of delayed systems. (English) Zbl 1192.34090 SIAM J. Appl. Dyn. Syst. 8, No. 3, 1116-1135 (2009). Reviewer: Bernhard Lani-Wayda (Giessen) MSC: 34K28 34K19 34K60 PDFBibTeX XMLCite \textit{T. Sahai} and \textit{A. Vladimirsky}, SIAM J. Appl. Dyn. Syst. 8, No. 3, 1116--1135 (2009; Zbl 1192.34090) Full Text: DOI
Green, Kirk; Krauskopf, Bernd; Marten, Frank; Lenstra, Daan Bifurcation analysis of a spatially extended laser with optical feedback. (English) Zbl 1167.37047 SIAM J. Appl. Dyn. Syst. 8, No. 1, 222-252 (2009). Reviewer: Guy Katriel (Haifa) MSC: 37N20 34K18 37G10 37G20 PDFBibTeX XMLCite \textit{K. Green} et al., SIAM J. Appl. Dyn. Syst. 8, No. 1, 222--252 (2009; Zbl 1167.37047) Full Text: DOI Link
Postlethwaite, Claire M. Stabilization of long-period periodic orbits using time-delayed feedback control. (English) Zbl 1164.37011 SIAM J. Appl. Dyn. Syst. 8, No. 1, 21-39 (2009). Reviewer: Vladimir P. Kostov (Nice) MSC: 37C27 37C29 93B52 PDFBibTeX XMLCite \textit{C. M. Postlethwaite}, SIAM J. Appl. Dyn. Syst. 8, No. 1, 21--39 (2009; Zbl 1164.37011) Full Text: DOI arXiv
Buono, P.-L.; Leblanc, V. G. Realization of critical eigenvalues for scalar and symmetric linear delay-differential equations. (English) Zbl 1166.37018 SIAM J. Appl. Dyn. Syst. 7, No. 4, 1323-1354 (2008). Reviewer: Denis Sidorov (Irkutsk) MSC: 37G10 37G40 34K18 34K06 PDFBibTeX XMLCite \textit{P. L. Buono} and \textit{V. G. Leblanc}, SIAM J. Appl. Dyn. Syst. 7, No. 4, 1323--1354 (2008; Zbl 1166.37018) Full Text: DOI arXiv
Morărescu, Constantin-Irinel; Niculescu, Silviu-Iulian; Gu, Keqin Stability crossing curves of shifted gamma-distributed delay systems. (English) Zbl 1210.34104 SIAM J. Appl. Dyn. Syst. 6, No. 2, 475-493 (2007). MSC: 34K20 34D99 93D09 93D99 PDFBibTeX XMLCite \textit{C.-I. Morărescu} et al., SIAM J. Appl. Dyn. Syst. 6, No. 2, 475--493 (2007; Zbl 1210.34104) Full Text: DOI
Colijn, Caroline; Mackey, Michael C. Bifurcation and bistability in a model of hematopoietic regulation. (English) Zbl 1210.37033 SIAM J. Appl. Dyn. Syst. 6, No. 2, 378-394 (2007). MSC: 37G10 34C14 34C23 37L15 PDFBibTeX XMLCite \textit{C. Colijn} and \textit{M. C. Mackey}, SIAM J. Appl. Dyn. Syst. 6, No. 2, 378--394 (2007; Zbl 1210.37033) Full Text: DOI
Xu, Jian; Chung, Kwok-Wai; Chan, Chuen-Lit An efficient method for studying weak resonant double Hopf bifurcation in nonlinear systems with delayed feedbacks. (English) Zbl 1210.34086 SIAM J. Appl. Dyn. Syst. 6, No. 1, 29-60 (2007). MSC: 34K06 37H20 70K30 74G10 93B52 PDFBibTeX XMLCite \textit{J. Xu} et al., SIAM J. Appl. Dyn. Syst. 6, No. 1, 29--60 (2007; Zbl 1210.34086) Full Text: DOI Link
Carr, T. W.; Schwartz, I. B.; Kim, Min-Young; Roy, Rajarshi Delayed-mutual coupling dynamics of lasers: scaling laws and resonances. (English) Zbl 1210.78025 SIAM J. Appl. Dyn. Syst. 5, No. 4, 699-725 (2006). MSC: 78A60 34D15 37G15 PDFBibTeX XMLCite \textit{T. W. Carr} et al., SIAM J. Appl. Dyn. Syst. 5, No. 4, 699--725 (2006; Zbl 1210.78025) Full Text: DOI arXiv
Atay, Fatihcan M.; Karabacak, Özkan Stability of coupled map networks with delays. (English) Zbl 1210.39013 SIAM J. Appl. Dyn. Syst. 5, No. 3, 508-527 (2006). MSC: 39A30 37E05 94C15 PDFBibTeX XMLCite \textit{F. M. Atay} and \textit{Ö. Karabacak}, SIAM J. Appl. Dyn. Syst. 5, No. 3, 508--527 (2006; Zbl 1210.39013) Full Text: DOI Link
Landry, Maria; Campbell, Sue Ann; Morris, Kirsten; Aguilar, Cesar O. Dynamics of an inverted pendulum with delayed feedback control. (English) Zbl 1170.93366 SIAM J. Appl. Dyn. Syst. 4, No. 2, 333-351 (2005). MSC: 93D15 34K35 34K20 70Q05 PDFBibTeX XMLCite \textit{M. Landry} et al., SIAM J. Appl. Dyn. Syst. 4, No. 2, 333--351 (2005; Zbl 1170.93366) Full Text: DOI Link
Ott, William; Yorke, James A. Learning about reality from observation. (English) Zbl 1088.37007 SIAM J. Appl. Dyn. Syst. 2, No. 3, 297-322 (2003). MSC: 37C70 37H15 37M25 28C20 60B11 PDFBibTeX XMLCite \textit{W. Ott} and \textit{J. A. Yorke}, SIAM J. Appl. Dyn. Syst. 2, No. 3, 297--322 (2003; Zbl 1088.37007) Full Text: DOI
Schanz, Michael; Pelster, Axel Synergetic system analysis for the delay-induced Hopf bifurcation in the Wright equation. (English) Zbl 1088.34062 SIAM J. Appl. Dyn. Syst. 2, No. 3, 277-296 (2003). MSC: 34K17 37G10 37L10 PDFBibTeX XMLCite \textit{M. Schanz} and \textit{A. Pelster}, SIAM J. Appl. Dyn. Syst. 2, No. 3, 277--296 (2003; Zbl 1088.34062) Full Text: DOI arXiv
Green, Kirk; Krauskopf, Bernd; Samaey, Giovanni A two-parameter study of the locking region of a semiconductor laser subject to phase-conjugate feedback. (English) Zbl 1088.37522 SIAM J. Appl. Dyn. Syst. 2, No. 2, 254-276 (2003). MSC: 37N20 34K18 37G10 37G20 PDFBibTeX XMLCite \textit{K. Green} et al., SIAM J. Appl. Dyn. Syst. 2, No. 2, 254--276 (2003; Zbl 1088.37522) Full Text: DOI