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
Villar-Sepúlveda, Edgardo; Aguirre, Pablo; Breña-Medina, Víctor F. A case study of multiple wave solutions in a reaction-diffusion system using invariant manifolds and global bifurcations. (English) Zbl 1523.37098 SIAM J. Appl. Dyn. Syst. 22, No. 2, 918-950 (2023). MSC: 37N25 35K57 35B32 35Q92 35C07 92D25 PDFBibTeX XMLCite \textit{E. Villar-Sepúlveda} et al., SIAM J. Appl. Dyn. Syst. 22, No. 2, 918--950 (2023; Zbl 1523.37098) Full Text: DOI arXiv
Wiraya, Ario; Adi-Kusumo, Fajar Torus and homoclinic bifurcations on a cells repair regulations model of the metastatic nasopharyngeal carcinoma. (English) Zbl 1522.37094 J. Nonlinear Sci. 33, No. 4, Paper No. 60, 21 p. (2023). MSC: 37N25 37G10 92C37 PDFBibTeX XMLCite \textit{A. Wiraya} and \textit{F. Adi-Kusumo}, J. Nonlinear Sci. 33, No. 4, Paper No. 60, 21 p. (2023; Zbl 1522.37094) Full Text: DOI
Li, Yingli; Zhao, Nan; Yao, Shujian Nonlinear dynamics of 1D meta-structure with inertia amplification. (English) Zbl 1510.70046 Appl. Math. Modelling 118, 728-744 (2023). MSC: 70H12 37N15 PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Math. Modelling 118, 728--744 (2023; Zbl 1510.70046) Full Text: DOI
Lin, Xiaoqing; Xu, Yancong; Gao, Daozhou; Fan, Guihong Bifurcation and overexploitation in Rosenzweig-MacArthur model. (English) Zbl 1506.37114 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 690-706 (2023). MSC: 37N25 37G10 92D25 PDFBibTeX XMLCite \textit{X. Lin} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 690--706 (2023; Zbl 1506.37114) Full Text: DOI
Giraldo, Andrus; Broderick, Neil G. R.; Krauskopf, Bernd Chaotic switching in driven-dissipative Bose-Hubbard dimers: when a flip bifurcation meets a T-point in \(\mathbb{R}^4 \). (English) Zbl 1515.37021 Discrete Contin. Dyn. Syst., Ser. B 27, No. 7, 4023-4075 (2022). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 37C29 37D45 37G25 37G40 37M20 37N20 37M21 PDFBibTeX XMLCite \textit{A. Giraldo} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 7, 4023--4075 (2022; Zbl 1515.37021) Full Text: DOI arXiv
Izuhara, Hirofumi; Kobayashi, Shunsuke Spatio-temporal coexistence in the cross-diffusion competition system. (English) Zbl 1468.37065 Discrete Contin. Dyn. Syst., Ser. S 14, No. 3, 919-933 (2021). Reviewer: Carlo Laing (Auckland) MSC: 37N25 37L10 35B10 35B36 35K59 35Q92 92D25 PDFBibTeX XMLCite \textit{H. Izuhara} and \textit{S. Kobayashi}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 3, 919--933 (2021; Zbl 1468.37065) Full Text: DOI
Varga, Roxána; Klapcsik, Kálmán; Hegedűs, Ferenc Route to shrimps: dissipation driven formation of shrimp-shaped domains. (English) Zbl 1489.37099 Chaos Solitons Fractals 130, Article ID 109424, 10 p. (2020). MSC: 37N10 34C15 34C23 76A10 PDFBibTeX XMLCite \textit{R. Varga} et al., Chaos Solitons Fractals 130, Article ID 109424, 10 p. (2020; Zbl 1489.37099) Full Text: DOI Link
O’Keeffe, Paul E.; Wieczorek, Sebastian Tipping phenomena and points of no return in ecosystems: beyond classical bifurcations. (English) Zbl 1467.37091 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2371-2402 (2020). Reviewer: Chay Paterson (Midhurst) MSC: 37N25 37G25 37G15 34E17 92D40 PDFBibTeX XMLCite \textit{P. E. O'Keeffe} and \textit{S. Wieczorek}, SIAM J. Appl. Dyn. Syst. 19, No. 4, 2371--2402 (2020; Zbl 1467.37091) Full Text: DOI arXiv
Otupiri, Robert; Krauskopf, Bernd; Broderick, Neil G. R. The Yamada model for a self-pulsing laser: bifurcation structure for nonidentical decay times of gain and absorber. (English) Zbl 1455.37070 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 14, Article ID 2030039, 29 p. (2020). MSC: 37N20 34C23 78A60 PDFBibTeX XMLCite \textit{R. Otupiri} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 14, Article ID 2030039, 29 p. (2020; Zbl 1455.37070) Full Text: DOI arXiv
Contreras-Julio, Dana; Aguirre, Pablo; Mujica, José; Vasilieva, Olga Finding strategies to regulate propagation and containment of dengue via invariant manifold analysis. (English) Zbl 1445.37063 SIAM J. Appl. Dyn. Syst. 19, No. 2, 1392-1437 (2020). MSC: 37N25 92D30 37M20 37M21 PDFBibTeX XMLCite \textit{D. Contreras-Julio} et al., SIAM J. Appl. Dyn. Syst. 19, No. 2, 1392--1437 (2020; Zbl 1445.37063) Full Text: DOI
Rega, Giuseppe Nonlinear dynamics in mechanics and engineering: 40 years of developments and Ali H. Nayfeh’s legacy. (English) Zbl 1430.70002 Nonlinear Dyn. 99, No. 1, 11-34 (2020). MSC: 70-03 37-03 01A70 37N05 70Kxx PDFBibTeX XMLCite \textit{G. Rega}, Nonlinear Dyn. 99, No. 1, 11--34 (2020; Zbl 1430.70002) Full Text: DOI Link
Köksal Ersöz, Elif; Desroches, Mathieu; Mirasso, Claudio R.; Rodrigues, Serafim Anticipation via canards in excitable systems. (English) Zbl 1406.92084 Chaos 29, No. 1, 013111, 18 p. (2019). MSC: 92C20 37N25 PDFBibTeX XMLCite \textit{E. Köksal Ersöz} et al., Chaos 29, No. 1, 013111, 18 p. (2019; Zbl 1406.92084) Full Text: DOI Link
Hellen, Edward H.; Volkov, Evgeny How to couple identical ring oscillators to get quasiperiodicity, extended chaos, multistability, and the loss of symmetry. (English) Zbl 1475.37039 Commun. Nonlinear Sci. Numer. Simul. 62, 462-479 (2018). MSC: 37D45 37N25 34C15 70K55 PDFBibTeX XMLCite \textit{E. H. Hellen} and \textit{E. Volkov}, Commun. Nonlinear Sci. Numer. Simul. 62, 462--479 (2018; Zbl 1475.37039) Full Text: DOI arXiv
Mazrooei-Sebdani, Reza; Eskandari, Zohreh; Meijer, Hil G. E. Numerical bifurcation analysis of double \(+1\) multiplier in \(\mathbb Z_3\)-symmetric maps. (English) Zbl 1398.37089 J. Difference Equ. Appl. 24, No. 9, 1402-1413 (2018). MSC: 37M20 39A28 37N40 PDFBibTeX XMLCite \textit{R. Mazrooei-Sebdani} et al., J. Difference Equ. Appl. 24, No. 9, 1402--1413 (2018; Zbl 1398.37089) Full Text: DOI
Li, Xueping; Ren, Jingli; Campbell, Sue Ann; Wolkowicz, Gail S. K.; Zhu, Huaiping How seasonal forcing influences the complexity of a predator-prey system. (English) Zbl 1403.37095 Discrete Contin. Dyn. Syst., Ser. B 23, No. 2, 785-807 (2018). MSC: 37N25 92D25 37G15 65P30 92B05 PDFBibTeX XMLCite \textit{X. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 2, 785--807 (2018; Zbl 1403.37095) Full Text: DOI
Hasan, Cris R.; Krauskopf, Bernd; Osinga, Hinke M. Saddle slow manifolds and canard orbits in \(\mathbb{R}^{4}\) and application to the full Hodgkin-Huxley model. (English) Zbl 1395.92038 J. Math. Neurosci. 8, Paper No. 5, 48 p. (2018). MSC: 92C20 37N25 34E17 34E15 PDFBibTeX XMLCite \textit{C. R. Hasan} et al., J. Math. Neurosci. 8, Paper No. 5, 48 p. (2018; Zbl 1395.92038) Full Text: DOI
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
Ren, Jingli; Yu, Liping; Siegmund, Stefan Bifurcations and chaos in a discrete predator-prey model with Crowley-Martin functional response. (English) Zbl 1390.37084 Nonlinear Dyn. 90, No. 1, 19-41 (2017). MSC: 37G10 92D25 37N25 39A28 37M20 34H10 PDFBibTeX XMLCite \textit{J. Ren} et al., Nonlinear Dyn. 90, No. 1, 19--41 (2017; Zbl 1390.37084) Full Text: DOI
Banerjee, M.; Kooi, Bob W.; Venturino, E. An ecoepidemic model with prey herd behavior and predator feeding saturation response on both healthy and diseased prey. (English) Zbl 1384.37112 Math. Model. Nat. Phenom. 12, No. 2, 133-161 (2017). MSC: 37N25 37G35 92D30 92D25 92D40 PDFBibTeX XMLCite \textit{M. Banerjee} et al., Math. Model. Nat. Phenom. 12, No. 2, 133--161 (2017; Zbl 1384.37112) Full Text: DOI Link
Engler, Hans; Kaper, Hans G.; Kaper, Tasso J.; Vo, Theodore Dynamical systems analysis of the Maasch-Saltzman model for glacial cycles. (English) Zbl 1378.37123 Physica D 359, 1-20 (2017). MSC: 37N10 86A40 34C23 34C60 PDFBibTeX XMLCite \textit{H. Engler} et al., Physica D 359, 1--20 (2017; Zbl 1378.37123) Full Text: DOI arXiv
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
Gavish, Nir; Versano, Idan; Yochelis, Arik Spatially localized self-assembly driven by electrically charged phase separation. (English) Zbl 1381.37104 SIAM J. Appl. Dyn. Syst. 16, No. 4, 1946-1968 (2017). MSC: 37N15 37G20 37G15 65P30 35K55 PDFBibTeX XMLCite \textit{N. Gavish} et al., SIAM J. Appl. Dyn. Syst. 16, No. 4, 1946--1968 (2017; Zbl 1381.37104) Full Text: DOI arXiv
Vannitsem, Stéphane; Demaeyer, Jonathan; De Cruz, Lesley; Ghil, Michael Low-frequency variability and heat transport in a low-order nonlinear coupled ocean-atmosphere model. (English) Zbl 1364.86013 Physica D 309, 71-85 (2015). MSC: 86A05 86A10 37N10 37G10 PDFBibTeX XMLCite \textit{S. Vannitsem} et al., Physica D 309, 71--85 (2015; Zbl 1364.86013) Full Text: DOI arXiv
Rezgui, D.; Lowenberg, M. H. On the nonlinear dynamics of a rotor in autorotation: a combined experimental and numerical approach. (English) Zbl 1353.70053 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 373, No. 2051, Article ID 20140411, 23 p. (2015). MSC: 70K50 70-05 37N15 PDFBibTeX XMLCite \textit{D. Rezgui} and \textit{M. H. Lowenberg}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 373, No. 2051, Article ID 20140411, 23 p. (2015; Zbl 1353.70053) Full Text: DOI
Sharma, Sanjiv; Coetzee, Etienne B.; Lowenberg, Mark H.; Neild, Simon A.; Krauskopf, Bernd Numerical continuation and bifurcation analysis in aircraft design: an industrial perspective. (English) Zbl 1353.93084 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 373, No. 2051, Article ID 20140406, 16 p. (2015). MSC: 93C95 65P30 70K50 37N15 PDFBibTeX XMLCite \textit{S. Sharma} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 373, No. 2051, Article ID 20140406, 16 p. (2015; Zbl 1353.93084) Full Text: DOI
Neild, Simon A.; Champneys, Alan R.; Wagg, David J.; Hill, Thomas L.; Cammarano, Andrea The use of normal forms for analysing nonlinear mechanical vibrations. (English) Zbl 1353.70052 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 373, No. 2051, Article ID 20140404, 22 p. (2015). MSC: 70K45 37G05 37N05 PDFBibTeX XMLCite \textit{S. A. Neild} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 373, No. 2051, Article ID 20140404, 22 p. (2015; Zbl 1353.70052) Full Text: DOI
Algaba, A.; Fernández-Sánchez, F.; Merino, M.; Rodríguez-Luis, A. J. Analysis of the T-point-Hopf bifurcation in the Lorenz system. (English) Zbl 1329.37082 Commun. Nonlinear Sci. Numer. Simul. 22, No. 1-3, 676-691 (2015). MSC: 37N10 37E30 37G10 37C29 34C37 PDFBibTeX XMLCite \textit{A. Algaba} et al., Commun. Nonlinear Sci. Numer. Simul. 22, No. 1--3, 676--691 (2015; Zbl 1329.37082) Full Text: DOI
Roberts, Kerry-Lyn; Rubin, Jonathan E.; Wechselberger, Martin Averaging, folded singularities, and torus canards: explaining transitions between bursting and spiking in a coupled neuron model. (English) Zbl 1360.37183 SIAM J. Appl. Dyn. Syst. 14, No. 4, 1808-1844 (2015). MSC: 37N25 34E17 92B25 37M05 37G35 PDFBibTeX XMLCite \textit{K.-L. Roberts} et al., SIAM J. Appl. Dyn. Syst. 14, No. 4, 1808--1844 (2015; Zbl 1360.37183) Full Text: DOI
Langfield, Peter; Krauskopf, Bernd; Osinga, Hinke M. Solving Winfree’s puzzle: the isochrons in the FitzHugh-Nagumo model. (English) Zbl 1374.37032 Chaos 24, No. 1, 013131, 13 p. (2014). MSC: 37C10 37N25 92B05 37D10 37D05 PDFBibTeX XMLCite \textit{P. Langfield} et al., Chaos 24, No. 1, 013131, 13 p. (2014; Zbl 1374.37032) Full Text: DOI Link
Blackbeard, Nicholas; Wieczorek, Sebastian; Erzgräber, Hartmut; Dutta, Partha Sharathi From synchronisation to persistent optical turbulence in laser arrays. (English) Zbl 1349.37087 Physica D 286-287, 43-58 (2014). MSC: 37N20 78A60 37D45 37G10 PDFBibTeX XMLCite \textit{N. Blackbeard} et al., Physica D 286--287, 43--58 (2014; Zbl 1349.37087) Full Text: DOI
Bulelzai, M. A. K.; Dubbeldam, J. L. A.; Meijer, H. G. E. Bifurcation analysis of a model for atherosclerotic plaque evolution. (English) Zbl 1349.92072 Physica D 278-279, 31-43 (2014). MSC: 92C50 37N25 37G10 37M05 PDFBibTeX XMLCite \textit{M. A. K. Bulelzai} et al., Physica D 278--279, 31--43 (2014; Zbl 1349.92072) Full Text: DOI Link
Tsuneki, Ryotaro; Doi, Shinji; Inoue, Junko Generation of slow phase-locked oscillation and variability of the interspike intervals in globally coupled neuronal oscillators. (English) Zbl 1279.92022 Math. Biosci. Eng. 11, No. 1, 125-138 (2014). MSC: 92C20 34C15 37N25 PDFBibTeX XMLCite \textit{R. Tsuneki} et al., Math. Biosci. Eng. 11, No. 1, 125--138 (2014; Zbl 1279.92022) Full Text: DOI
Buřič, Lubor; Janovský, Vladimír Continuation of oscillatory patterns in a road traffic model of three cars. (English) Zbl 1262.90035 Math. Comput. Simul. 82, No. 10, 1874-1893 (2012). MSC: 90B20 37N30 34C23 65P30 PDFBibTeX XMLCite \textit{L. Buřič} and \textit{V. Janovský}, Math. Comput. Simul. 82, No. 10, 1874--1893 (2012; Zbl 1262.90035) Full Text: DOI
Zhang, Wenjun; Kirk, Vivien; Sneyd, James; Wechselberger, Martin Changes in the criticality of Hopf bifurcations due to certain model reduction techniques in systems with multiple timescales. (English) Zbl 1259.92003 J. Math. Neurosci. 1, Paper No. 9 (2011). MSC: 92B05 34C23 37N25 92C20 PDFBibTeX XMLCite \textit{W. Zhang} et al., J. Math. Neurosci. 1, Paper No. 9 (2011; Zbl 1259.92003) Full Text: DOI
Puigjaner, D.; Herrero, J.; Simó, C.; Giralt, F. From steady solutions to chaotic flows in a Rayleigh-Bénard problem at moderate Rayleigh numbers. (English) Zbl 1225.37093 Physica D 240, No. 11, 920-934 (2011). Reviewer: Felix Kaplanski (Tallinn) MSC: 37N10 76R10 37D45 PDFBibTeX XMLCite \textit{D. Puigjaner} et al., Physica D 240, No. 11, 920--934 (2011; Zbl 1225.37093) Full Text: DOI
Van Voorn, George A. K.; Kooi, Bob W.; Boer, Martin P. Ecological consequences of global bifurcations in some food chain models. (English) Zbl 1194.92078 Math. Biosci. 226, No. 2, 120-133 (2010). MSC: 92D40 34C60 34C23 34C05 37N25 PDFBibTeX XMLCite \textit{G. A. K. Van Voorn} et al., Math. Biosci. 226, No. 2, 120--133 (2010; Zbl 1194.92078) Full Text: DOI
Dafilis, Mathew P.; Frascoli, Federico; Cadusch, Peter J.; Liley, David T. J. Chaos and generalised multistability in a mesoscopic model of the electroencephalogram. (English) Zbl 1179.37049 Physica D 238, No. 13, 1056-1060 (2009). Reviewer: Yuming Chen (Waterloo) MSC: 37D45 37N25 92C50 PDFBibTeX XMLCite \textit{M. P. Dafilis} et al., Physica D 238, No. 13, 1056--1060 (2009; Zbl 1179.37049) Full Text: DOI