Zheng, Pan; Shan, Wenhai; Liao, Guangyuan Stability analysis of the immune system induced by chemotaxis. (English) Zbl 07741166 SIAM J. Appl. Dyn. Syst. 22, No. 3, 2527-2569 (2023). MSC: 35B35 35B40 35K51 35K59 92C17 92C45 PDFBibTeX XMLCite \textit{P. Zheng} et al., SIAM J. Appl. Dyn. Syst. 22, No. 3, 2527--2569 (2023; Zbl 07741166) Full Text: DOI
Vassena, Nicola Structural conditions for saddle-node bifurcations in chemical reaction networks. (English) Zbl 1519.92085 SIAM J. Appl. Dyn. Syst. 22, No. 3, 1639-1672 (2023). MSC: 92C45 92C42 34C23 PDFBibTeX XMLCite \textit{N. Vassena}, SIAM J. Appl. Dyn. Syst. 22, No. 3, 1639--1672 (2023; Zbl 1519.92085) Full Text: DOI arXiv
Hilder, Bastian; de Rijk, Björn; Schneider, Guido Moving modulating pulse and front solutions of permanent form in a FPU model with nearest and next-to-nearest neighbor interaction. (English) Zbl 07712424 SIAM J. Appl. Dyn. Syst. 22, No. 2, 1076-1113 (2023). MSC: 37L60 37L10 34C15 37K60 PDFBibTeX XMLCite \textit{B. Hilder} et al., SIAM J. Appl. Dyn. Syst. 22, No. 2, 1076--1113 (2023; Zbl 07712424) Full Text: DOI arXiv
Jelbart, Samuel; Pages, Nathan; Kirk, Vivien; Sneyd, James; Wechselberger, Martin Process-oriented geometric singular perturbation theory and calcium dynamics. (English) Zbl 1497.34060 SIAM J. Appl. Dyn. Syst. 21, No. 2, 982-1029 (2022). MSC: 34C15 34C26 34E15 92C37 34E13 93B30 PDFBibTeX XMLCite \textit{S. Jelbart} et al., SIAM J. Appl. Dyn. Syst. 21, No. 2, 982--1029 (2022; Zbl 1497.34060) Full Text: DOI arXiv
Kristiansen, Kristian U. A stiction oscillator under slowly varying forcing: uncovering small scale phenomena using blowup. (English) Zbl 1501.34020 SIAM J. Appl. Dyn. Syst. 20, No. 4, 2359-2390 (2021). MSC: 34A36 34C15 34E15 34C25 34E17 34C28 37N15 70E18 70K40 70F40 PDFBibTeX XMLCite \textit{K. U. Kristiansen}, SIAM J. Appl. Dyn. Syst. 20, No. 4, 2359--2390 (2021; Zbl 1501.34020) Full Text: DOI arXiv
Kuehn, Christian; Lux, Kerstin Uncertainty quantification of bifurcations in random ordinary differential equations. (English) Zbl 1484.34142 SIAM J. Appl. Dyn. Syst. 20, No. 4, 2295-2334 (2021). MSC: 34F10 34C23 60H35 41A58 44A15 34C45 PDFBibTeX XMLCite \textit{C. Kuehn} and \textit{K. Lux}, SIAM J. Appl. Dyn. Syst. 20, No. 4, 2295--2334 (2021; Zbl 1484.34142) Full Text: DOI arXiv
Ambrose, David M.; Hadadifard, Fazel; Wright, J. Douglas Well-posedness and asymptotics of a coordinate-free model of flame fronts. (English) Zbl 1479.35086 SIAM J. Appl. Dyn. Syst. 20, No. 4, 2261-2294 (2021). MSC: 35B40 35B65 35K30 35K58 PDFBibTeX XMLCite \textit{D. M. Ambrose} et al., SIAM J. Appl. Dyn. Syst. 20, No. 4, 2261--2294 (2021; Zbl 1479.35086) Full Text: DOI arXiv
Rademacher, Jens D. M.; Siemer, Lars Domain wall motion in axially symmetric spintronic nanowires. (English) Zbl 1483.35238 SIAM J. Appl. Dyn. Syst. 20, No. 4, 2204-2235 (2021). MSC: 35Q60 82D77 35B35 35B40 35C07 78A25 PDFBibTeX XMLCite \textit{J. D. M. Rademacher} and \textit{L. Siemer}, SIAM J. Appl. Dyn. Syst. 20, No. 4, 2204--2235 (2021; Zbl 1483.35238) 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
García-Azpeitia, Carlos; Krawcewicz, Wieslaw; Tejada-Wriedt, Manuel; Wu, Haopin Global nonlinear normal modes in the fullerene molecule \(C_{60}\). (English) Zbl 1469.82043 SIAM J. Appl. Dyn. Syst. 20, No. 1, 94-129 (2021). Reviewer: Eugene Postnikov (Kursk) MSC: 82D80 81V45 37G40 37G15 34C11 70H33 92E10 PDFBibTeX XMLCite \textit{C. García-Azpeitia} et al., SIAM J. Appl. Dyn. Syst. 20, No. 1, 94--129 (2021; Zbl 1469.82043) Full Text: DOI
Engel, Maximilian; Jardón-Kojakhmetov, Hildeberto Extended and symmetric loss of stability for canards in planar fast-slow maps. (English) Zbl 1478.37054 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2530-2566 (2020). Reviewer: Fengqin Zhang (Yuncheng) MSC: 37G10 34E15 70K70 39A12 39A28 39A30 65L06 PDFBibTeX XMLCite \textit{M. Engel} and \textit{H. Jardón-Kojakhmetov}, SIAM J. Appl. Dyn. Syst. 19, No. 4, 2530--2566 (2020; Zbl 1478.37054) Full Text: DOI arXiv
Bastiaansen, Robbin; Chirilus-Bruckner, Martina; Doelman, Arjen Pulse solutions for an extended Klausmeier model with spatially varying coefficients. (English) Zbl 1431.35071 SIAM J. Appl. Dyn. Syst. 19, No. 1, 1-57 (2020). MSC: 35K57 35Q92 35B25 35B35 35C20 37B55 92D40 PDFBibTeX XMLCite \textit{R. Bastiaansen} et al., SIAM J. Appl. Dyn. Syst. 19, No. 1, 1--57 (2020; Zbl 1431.35071) Full Text: DOI arXiv
Delgado, Joaquín; Vidal, Claudio Dynamics of the parabolic restricted collinear three-body problem. (English) Zbl 1446.70023 SIAM J. Appl. Dyn. Syst. 18, No. 1, 172-204 (2019). MSC: 70F07 70F15 37N05 PDFBibTeX XMLCite \textit{J. Delgado} and \textit{C. Vidal}, SIAM J. Appl. Dyn. Syst. 18, No. 1, 172--204 (2019; Zbl 1446.70023) Full Text: DOI
Hsu, Ting-Hao Number and stability of relaxation oscillations for predator-prey systems with small death rates. (English) Zbl 1411.34064 SIAM J. Appl. Dyn. Syst. 18, No. 1, 33-67 (2019). MSC: 34C60 34C26 92D25 34E15 34D20 34C05 PDFBibTeX XMLCite \textit{T.-H. Hsu}, SIAM J. Appl. Dyn. Syst. 18, No. 1, 33--67 (2019; Zbl 1411.34064) Full Text: DOI arXiv
Thavanayagam, Ealasukanthan; Wall, David J. N. Modeling of spatial dynamical silence in the macro arterial domain. (English) Zbl 1408.37149 SIAM J. Appl. Dyn. Syst. 17, No. 3, 2176-2204 (2018). MSC: 37N25 37M05 74Q10 PDFBibTeX XMLCite \textit{E. Thavanayagam} and \textit{D. J. N. Wall}, SIAM J. Appl. Dyn. Syst. 17, No. 3, 2176--2204 (2018; Zbl 1408.37149) Full Text: DOI
Froyland, Gary; Junge, Oliver Robust FEM-based extraction of finite-time coherent sets using scattered, sparse, and incomplete trajectories. (English) Zbl 1408.37139 SIAM J. Appl. Dyn. Syst. 17, No. 2, 1891-1924 (2018). MSC: 37M25 65L60 37K25 PDFBibTeX XMLCite \textit{G. Froyland} and \textit{O. Junge}, SIAM J. Appl. Dyn. Syst. 17, No. 2, 1891--1924 (2018; Zbl 1408.37139) Full Text: DOI arXiv
Doelman, Arjen; Rademacher, Jens; de Rijk, Björn; Veerman, Frits Destabilization mechanisms of periodic pulse patterns near a homoclinic limit. (English) Zbl 1400.35164 SIAM J. Appl. Dyn. Syst. 17, No. 2, 1833-1890 (2018). MSC: 35K57 35B10 35B35 35B25 35B36 PDFBibTeX XMLCite \textit{A. Doelman} et al., SIAM J. Appl. Dyn. Syst. 17, No. 2, 1833--1890 (2018; Zbl 1400.35164) Full Text: DOI
Farjami, Saeed; Kirk, Vivien; Osinga, Hinke M. Computing the stable manifold of a saddle slow manifold. (English) Zbl 1403.37036 SIAM J. Appl. Dyn. Syst. 17, No. 1, 350-379 (2018). Reviewer: Josef Diblík (Brno) MSC: 37D10 37M20 34D15 34E15 37C10 65L10 34D35 34C45 65P40 70K70 PDFBibTeX XMLCite \textit{S. Farjami} et al., SIAM J. Appl. Dyn. Syst. 17, No. 1, 350--379 (2018; Zbl 1403.37036) Full Text: DOI
Carter, Paul; Sandstede, Björn Unpeeling a homoclinic banana in the FitzHugh-Nagumo system. (English) Zbl 1407.35015 SIAM J. Appl. Dyn. Syst. 17, No. 1, 236-349 (2018). MSC: 35B25 35C07 34E15 34E17 35K57 PDFBibTeX XMLCite \textit{P. Carter} and \textit{B. Sandstede}, SIAM J. Appl. Dyn. Syst. 17, No. 1, 236--349 (2018; Zbl 1407.35015) Full Text: DOI
Hasan, Cris R.; Krauskopf, Bernd; Osinga, Hinke M. Mixed-mode oscillations and twin canard orbits in an autocatalytic chemical reaction. (English) Zbl 1381.37107 SIAM J. Appl. Dyn. Syst. 16, No. 4, 2165-2195 (2017). MSC: 37N25 34E15 34E17 37M20 37G25 65L10 92E20 PDFBibTeX XMLCite \textit{C. R. Hasan} et al., SIAM J. Appl. Dyn. Syst. 16, No. 4, 2165--2195 (2017; Zbl 1381.37107) Full Text: DOI
Sewalt, Lotte; Doelman, Arjen Spatially periodic multipulse patterns in a generalized Klausmeier-Gray-Scott model. (English) Zbl 1369.34067 SIAM J. Appl. Dyn. Syst. 16, No. 2, 1113-1163 (2017). MSC: 34C37 34C25 35B25 35B35 35B36 35C07 92D40 PDFBibTeX XMLCite \textit{L. Sewalt} and \textit{A. Doelman}, SIAM J. Appl. Dyn. Syst. 16, No. 2, 1113--1163 (2017; Zbl 1369.34067) Full Text: DOI
Holzer, Matt; Popović, Nikola Wavetrain solutions of a reaction-diffusion-advection model of mussel-algae interaction. (English) Zbl 1434.35256 SIAM J. Appl. Dyn. Syst. 16, No. 1, 431-478 (2017). MSC: 35Q92 35B36 35C07 35K57 35M30 PDFBibTeX XMLCite \textit{M. Holzer} and \textit{N. Popović}, SIAM J. Appl. Dyn. Syst. 16, No. 1, 431--478 (2017; Zbl 1434.35256) Full Text: DOI
Czechowski, Aleksander; Zgliczyński, Piotr Existence of periodic solutions of the Fitzhugh-Nagumo equations for an explicit range of the small parameter. (English) Zbl 1360.34069 SIAM J. Appl. Dyn. Syst. 15, No. 3, 1615-1655 (2016). Reviewer: Nikola Popovic (Edinburgh) MSC: 34C05 34C25 34E13 65G20 92C20 PDFBibTeX XMLCite \textit{A. Czechowski} and \textit{P. Zgliczyński}, SIAM J. Appl. Dyn. Syst. 15, No. 3, 1615--1655 (2016; Zbl 1360.34069) Full Text: DOI arXiv
Berchio, Elvise; Gazzola, Filippo; Zanini, Chiara Which residual mode captures the energy of the dominating mode in second order Hamiltonian systems? (English) Zbl 1359.37055 SIAM J. Appl. Dyn. Syst. 15, No. 1, 338-355 (2016). MSC: 37C75 34C15 34B30 34D20 74H55 37J25 PDFBibTeX XMLCite \textit{E. Berchio} et al., SIAM J. Appl. Dyn. Syst. 15, No. 1, 338--355 (2016; Zbl 1359.37055) Full Text: DOI arXiv
Kristiansen, K. Uldall Computation of saddle-type slow manifolds using iterative methods. (English) Zbl 1323.34025 SIAM J. Appl. Dyn. Syst. 14, No. 2, 1189-1227 (2015). MSC: 34A45 34E15 34E13 37M99 34C45 34C37 92C20 PDFBibTeX XMLCite \textit{K. U. Kristiansen}, SIAM J. Appl. Dyn. Syst. 14, No. 2, 1189--1227 (2015; Zbl 1323.34025) Full Text: DOI arXiv
Dean, A. D.; Matthews, P. C.; Cox, S. M.; King, J. R. Orientation-dependent pinning and homoclinic snaking on a planar lattice. (English) Zbl 1370.37137 SIAM J. Appl. Dyn. Syst. 14, No. 1, 481-521 (2015). MSC: 37L60 39A60 PDFBibTeX XMLCite \textit{A. D. Dean} et al., SIAM J. Appl. Dyn. Syst. 14, No. 1, 481--521 (2015; Zbl 1370.37137) Full Text: DOI arXiv Link
Zhelyazov, D.; Han-Kwan, D.; Rademacher, J. D. M. Global stability and local bifurcations in a two-fluid model for tokamak plasma. (English) Zbl 1315.37048 SIAM J. Appl. Dyn. Syst. 14, No. 2, 730-763 (2015). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37L10 37G15 35K61 82D10 PDFBibTeX XMLCite \textit{D. Zhelyazov} et al., SIAM J. Appl. Dyn. Syst. 14, No. 2, 730--763 (2015; Zbl 1315.37048) Full Text: DOI arXiv
Uecker, Hannes; Wetzel, Daniel Numerical results for snaking of patterns over patterns in some 2D Selkov-Schnakenberg reaction-diffusion systems. (English) Zbl 1297.65162 SIAM J. Appl. Dyn. Syst. 13, No. 1, 94-128 (2014). MSC: 65N30 35Q56 35K57 35B36 PDFBibTeX XMLCite \textit{H. Uecker} and \textit{D. Wetzel}, SIAM J. Appl. Dyn. Syst. 13, No. 1, 94--128 (2014; Zbl 1297.65162) Full Text: DOI arXiv