Hasan, Cris R.; Cárthaigh, Ruaidhrí Mac; Wieczorek, Sebastian Rate-induced tipping in heterogeneous reaction-diffusion systems: an invariant manifold framework and geographically shifting ecosystems. (English) Zbl 07773358 SIAM J. Appl. Dyn. Syst. 22, No. 4, 2991-3024 (2023). MSC: 37N25 35K57 92D40 92D25 PDFBibTeX XMLCite \textit{C. R. Hasan} et al., SIAM J. Appl. Dyn. Syst. 22, No. 4, 2991--3024 (2023; Zbl 07773358) Full Text: DOI arXiv
Cubillos, Pablo; López-Gómez, Julián; Tellini, Andrea Global structure of the set of 1-node solutions in a class of degenerate diffusive logistic equations. (English) Zbl 1518.65144 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107389, 24 p. (2023). MSC: 65P30 65N06 35J25 35J60 PDFBibTeX XMLCite \textit{P. Cubillos} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107389, 24 p. (2023; Zbl 1518.65144) Full Text: DOI
Csernák, Gábor; Licskó, Gábor Asymmetric and chaotic responses of dry friction oscillators with different static and kinetic coefficients of friction. (English) Zbl 1521.70031 Meccanica 56, No. 9, 2401-2414 (2021). MSC: 70K55 70K50 70F40 PDFBibTeX XMLCite \textit{G. Csernák} and \textit{G. Licskó}, Meccanica 56, No. 9, 2401--2414 (2021; Zbl 1521.70031) Full Text: DOI
Camassa, Roberto; Marzuola, Jeremy L.; Ogrosky, H. Reed; Swygert, Sterling On the stability of traveling wave solutions to thin-film and long-wave models for film flows inside a tube. (English) Zbl 1490.76102 Physica D 415, Article ID 132750, 9 p. (2021). MSC: 76E17 76A20 76D08 76M45 76M99 PDFBibTeX XMLCite \textit{R. Camassa} et al., Physica D 415, Article ID 132750, 9 p. (2021; Zbl 1490.76102) Full Text: DOI
Pototsky, Andrey; Oron, Alexander; Bestehorn, Michael Equilibrium shapes and floatability of static and vertically vibrated heavy liquid drops on the surface of a lighter fluid. (English) Zbl 1493.76099 J. Fluid Mech. 922, Paper No. A31, 21 p. (2021). MSC: 76T06 76T30 76B45 76B15 76-05 PDFBibTeX XMLCite \textit{A. Pototsky} et al., J. Fluid Mech. 922, Paper No. A31, 21 p. (2021; Zbl 1493.76099) Full Text: DOI arXiv
van den Berg, Jan Bouwe; Queirolo, Elena A general framework for validated continuation of periodic orbits in systems of polynomial ODEs. (English) Zbl 1469.37015 J. Comput. Dyn. 8, No. 1, 59-97 (2021). MSC: 37C27 37M21 34A12 65G40 PDFBibTeX XMLCite \textit{J. B. van den Berg} and \textit{E. Queirolo}, J. Comput. Dyn. 8, No. 1, 59--97 (2021; Zbl 1469.37015) Full Text: DOI
Wang, Qian; Liu, Yi; Liu, Heng; Fan, Hongwei; Jing, Minqing Parallel numerical continuation of periodic responses of local nonlinear systems. (English) Zbl 1516.65061 Nonlinear Dyn. 100, No. 3, 2005-2026 (2020). MSC: 65L99 PDFBibTeX XMLCite \textit{Q. Wang} et al., Nonlinear Dyn. 100, No. 3, 2005--2026 (2020; Zbl 1516.65061) Full Text: DOI
Iannelli, Andrea; Lowenberg, Mark; Marcos, Andrés Computation of bifurcation margins based on robust control concepts. (English) Zbl 1466.93119 SIAM J. Appl. Dyn. Syst. 19, No. 3, 1956-1992 (2020). Reviewer: Hao Wu (Nanjing) MSC: 93D09 34C23 34H20 37G15 PDFBibTeX XMLCite \textit{A. Iannelli} et al., SIAM J. Appl. Dyn. Syst. 19, No. 3, 1956--1992 (2020; Zbl 1466.93119) Full Text: DOI
Collera, Juancho A. Numerical continuation and bifurcation analysis in a harvested predator-prey model with time delay using DDE-biftool. (English) Zbl 1447.34003 Mohd, Mohd Hafiz (ed.) et al., Dynamical systems, bifurcation analysis and applications. Collected papers of the SEAMS school 2018 on dynamical systems and bifurcation analysis, DySBA, Penang, Malaysia, August 6–13, 2018. Singapore: Springer. Springer Proc. Math. Stat. 295, 225-241 (2019). MSC: 34-04 34K60 92D25 34K18 37M20 PDFBibTeX XMLCite \textit{J. A. Collera}, Springer Proc. Math. Stat. 295, 225--241 (2019; Zbl 1447.34003) Full Text: DOI arXiv
Lloyd, David J. B. Invasion fronts outside the homoclinic snaking region in the planar Swift-Hohenberg equation. (English) Zbl 1430.35028 SIAM J. Appl. Dyn. Syst. 18, No. 4, 1892-1933 (2019). MSC: 35B36 35B32 37C29 35K57 PDFBibTeX XMLCite \textit{D. J. B. Lloyd}, SIAM J. Appl. Dyn. Syst. 18, No. 4, 1892--1933 (2019; Zbl 1430.35028) Full Text: DOI arXiv
Calleja, Renato C.; Doedel, Eusebius J.; García-Azpeitia, Carlos Choreographies in the \(n\)-vortex problem. (English) Zbl 1415.37077 Regul. Chaotic Dyn. 23, No. 5, 595-612 (2018). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 37J25 34C25 37G40 47H11 54F45 76B47 70F10 PDFBibTeX XMLCite \textit{R. C. Calleja} et al., Regul. Chaotic Dyn. 23, No. 5, 595--612 (2018; Zbl 1415.37077) Full Text: DOI arXiv
Lin, T.-S.; Tseluiko, D.; Blyth, M. G.; Kalliadasis, S. Continuation methods for time-periodic travelling-wave solutions to evolution equations. (English) Zbl 1412.65177 Appl. Math. Lett. 86, 291-297 (2018). MSC: 65M99 65T50 35C07 35B10 35B32 76A20 76W05 PDFBibTeX XMLCite \textit{T. S. Lin} et al., Appl. Math. Lett. 86, 291--297 (2018; Zbl 1412.65177) Full Text: DOI Link
Charpentier, Isabelle; Cochelin, Bruno Towards a full higher order AD-based continuation and bifurcation framework. (English) Zbl 1453.65439 Optim. Methods Softw. 33, No. 4-6, 945-962 (2018). MSC: 65P30 70E60 PDFBibTeX XMLCite \textit{I. Charpentier} and \textit{B. Cochelin}, Optim. Methods Softw. 33, No. 4--6, 945--962 (2018; Zbl 1453.65439) Full Text: DOI HAL
Brubaker, Nicholas D. A continuation method for computing constant mean curvature surfaces with boundary. (English) Zbl 1397.49029 SIAM J. Sci. Comput. 40, No. 4, A2568-A2583 (2018). MSC: 49K20 53A05 53A10 76B45 49Q20 PDFBibTeX XMLCite \textit{N. D. Brubaker}, SIAM J. Sci. Comput. 40, No. 4, A2568--A2583 (2018; Zbl 1397.49029) Full Text: DOI arXiv
Beaume, Cédric Adaptive Stokes preconditioning for steady incompressible flows. (English) Zbl 1488.35415 Commun. Comput. Phys. 22, No. 2, 494-516 (2017). MSC: 35Q30 35Q35 37M20 37N10 65F08 65P30 76D05 76E05 76E06 PDFBibTeX XMLCite \textit{C. Beaume}, Commun. Comput. Phys. 22, No. 2, 494--516 (2017; Zbl 1488.35415) Full Text: DOI arXiv
Langfield, Peter; Façanha, Wilson L. C.; Oldeman, Bart; Glass, Leon Bifurcations in a periodically stimulated limit cycle oscillator with finite relaxation times. (English) Zbl 1376.34039 SIAM J. Appl. Dyn. Syst. 16, No. 2, 1045-1069 (2017). Reviewer: Alois Steindl (Wien) MSC: 34C23 34C25 34C26 34D08 37C60 34C15 PDFBibTeX XMLCite \textit{P. Langfield} et al., SIAM J. Appl. Dyn. Syst. 16, No. 2, 1045--1069 (2017; Zbl 1376.34039) Full Text: DOI
Lloyd, David J. B.; Scheel, Arnd Continuation and bifurcation of grain boundaries in the Swift-Hohenberg equation. (English) Zbl 1434.35016 SIAM J. Appl. Dyn. Syst. 16, No. 1, 252-293 (2017). MSC: 35K25 35B32 35B36 35K91 70K50 PDFBibTeX XMLCite \textit{D. J. B. Lloyd} and \textit{A. Scheel}, SIAM J. Appl. Dyn. Syst. 16, No. 1, 252--293 (2017; Zbl 1434.35016) Full Text: DOI arXiv
Thomas, Spencer A.; Lloyd, David J. B.; Skeldon, Anne C. Equation-free analysis of agent-based models and systematic parameter determination. (English) Zbl 1406.93032 Physica A 464, 27-53 (2016). MSC: 93A14 93E03 93B35 62P99 PDFBibTeX XMLCite \textit{S. A. Thomas} et al., Physica A 464, 27--53 (2016; Zbl 1406.93032) Full Text: DOI Link
Aruliah, D. A.; van Veen, Lennaert; Dubitski, Alex Algorithm 956: PAMPAC, a parallel adaptive method for pseudo-arclength continuation. (English) Zbl 1347.65091 ACM Trans. Math. Softw. 42, No. 1, Article No. 8, 18 p. (2016). MSC: 65H04 65D10 65Y05 PDFBibTeX XMLCite \textit{D. A. Aruliah} et al., ACM Trans. Math. Softw. 42, No. 1, Article No. 8, 18 p. (2016; Zbl 1347.65091) Full Text: DOI arXiv
Kuehn, Christian Efficient gluing of numerical continuation and a multiple solution method for elliptic PDEs. (English) Zbl 1410.65480 Appl. Math. Comput. 266, 656-674 (2015). MSC: 65P30 65N30 35B32 35J25 35J61 PDFBibTeX XMLCite \textit{C. Kuehn}, Appl. Math. Comput. 266, 656--674 (2015; Zbl 1410.65480) Full Text: DOI arXiv
Sierra, Jesús; Kasimov, Aslan; Markowich, Peter; Weishäupl, Rada-Maria On the Gross-Pitaevskii equation with pumping and decay: stationary states and their stability. (English) Zbl 1318.35109 J. Nonlinear Sci. 25, No. 3, 709-739 (2015). MSC: 35Q55 65M70 82B10 82-08 PDFBibTeX XMLCite \textit{J. Sierra} et al., J. Nonlinear Sci. 25, No. 3, 709--739 (2015; Zbl 1318.35109) Full Text: DOI arXiv
Romanov, Volodymyr A.; Doedel, Eusebius J. Periodic orbits associated with the libration points of the massive rotating straight segment. (English) Zbl 1296.70018 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 4, Article ID 1430012, 15 p. (2014). MSC: 70F15 70K42 85A99 34C25 65P30 34C23 34-04 PDFBibTeX XMLCite \textit{V. A. Romanov} and \textit{E. J. Doedel}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 4, Article ID 1430012, 15 p. (2014; Zbl 1296.70018) Full Text: DOI
Kao, Hsien-Ching; Knobloch, Edgar Exact solutions of the cubic-quintic Swift-Hohenberg equation and their bifurcations. (English) Zbl 1294.35102 Dyn. Syst. 28, No. 2, 263-286 (2013). MSC: 35Q35 35Q60 35B32 35B10 35B35 34C23 PDFBibTeX XMLCite \textit{H.-C. Kao} and \textit{E. Knobloch}, Dyn. Syst. 28, No. 2, 263--286 (2013; Zbl 1294.35102) Full Text: DOI
Knobloch, Jürgen; Vielitz, Martin; Wagenknecht, Thomas Non-reversible perturbations of homoclinic snaking scenarios. (English) Zbl 1286.37024 Nonlinearity 25, No. 12, 3469-3485 (2012). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 37C29 37G25 37G20 PDFBibTeX XMLCite \textit{J. Knobloch} et al., Nonlinearity 25, No. 12, 3469--3485 (2012; Zbl 1286.37024) Full Text: DOI Link
Wadee, M. Ahmer; Gardner, Leroy Cellular buckling from mode interaction in I-beams under uniform bending. (English) Zbl 1243.74096 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 468, No. 2137, 245-268 (2012). MSC: 74K10 74G60 PDFBibTeX XMLCite \textit{M. A. Wadee} and \textit{L. Gardner}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 468, No. 2137, 245--268 (2012; Zbl 1243.74096) Full Text: DOI arXiv
Van Veen, Lennaert; Kawahara, Genta; Atsushi, Matsumura On matrix-free computation of 2D unstable manifolds. (English) Zbl 1227.65066 SIAM J. Sci. Comput. 33, No. 1, 25-44 (2011). MSC: 65L10 34B15 34C25 76F10 PDFBibTeX XMLCite \textit{L. Van Veen} et al., SIAM J. Sci. Comput. 33, No. 1, 25--44 (2011; Zbl 1227.65066) Full Text: DOI arXiv
Broeckhove, Jan; Kłosiewicz, Przemysław; Vanroose, Wim Applying numerical continuation to the parameter dependence of solutions of the Schrödinger equation. (English) Zbl 1190.65190 J. Comput. Appl. Math. 234, No. 4, 1238-1248 (2010). MSC: 65P30 65H20 65Y20 37M20 81U20 PDFBibTeX XMLCite \textit{J. Broeckhove} et al., J. Comput. Appl. Math. 234, No. 4, 1238--1248 (2010; Zbl 1190.65190) Full Text: DOI arXiv
Boyaci, A.; Hetzler, H.; Seemann, W.; Proppe, C.; Wauer, J. Analytical bifurcation analysis of a rotor supported by floating ring bearings. (English) Zbl 1176.70027 Nonlinear Dyn. 57, No. 4, 497-507 (2009). MSC: 70K50 70K20 PDFBibTeX XMLCite \textit{A. Boyaci} et al., Nonlinear Dyn. 57, No. 4, 497--507 (2009; Zbl 1176.70027) Full Text: DOI