Bosschaert, Maikel M.; Kuznetsov, Yuri A. Interplay between normal forms and center manifold reduction for homoclinic predictors near Bogdanov-Takens bifurcation. (English) Zbl 07803213 SIAM J. Appl. Dyn. Syst. 23, No. 1, 410-439 (2024). MSC: 37M20 65P30 34C37 34B08 34B15 34B40 34E10 PDFBibTeX XMLCite \textit{M. M. Bosschaert} and \textit{Y. A. Kuznetsov}, SIAM J. Appl. Dyn. Syst. 23, No. 1, 410--439 (2024; Zbl 07803213) Full Text: DOI arXiv
Qin, B. W.; Chung, K. W.; Algaba, A.; Rodríguez-Luis, A. J. High-order approximation of heteroclinic bifurcations in truncated 2D-normal forms for the generic cases of Hopf-zero and nonresonant double Hopf singularities. (English) Zbl 1478.34067 SIAM J. Appl. Dyn. Syst. 20, No. 1, 403-437 (2021). Reviewer: Tao Li (Chengdu) MSC: 34E05 34E10 34C37 37M20 41A60 34C20 34C23 PDFBibTeX XMLCite \textit{B. W. Qin} et al., SIAM J. Appl. Dyn. Syst. 20, No. 1, 403--437 (2021; Zbl 1478.34067) Full Text: DOI
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J. High-order analysis of canard explosion in the Brusselator equations. (English) Zbl 1447.34023 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 5, Article ID 2050078, 10 p. (2020). MSC: 34A45 34C23 34E17 34C20 34E05 34E10 PDFBibTeX XMLCite \textit{B.-W. Qin} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 5, Article ID 2050078, 10 p. (2020; Zbl 1447.34023) Full Text: DOI
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J. High-order analysis of global bifurcations in a codimension-three Takens-Bogdanov singularity in reversible systems. (English) Zbl 1436.34035 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050017, 18 p. (2020). MSC: 34C23 34C05 34C37 34C14 34E10 PDFBibTeX XMLCite \textit{B.-W. Qin} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050017, 18 p. (2020; Zbl 1436.34035) Full Text: DOI
Al-Hdaibat, B.; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E. Initialization of homoclinic solutions near Bogdanov-Takens points: Lindstedt-Poincaré compared with regular perturbation method. (English) Zbl 1343.34104 SIAM J. Appl. Dyn. Syst. 15, No. 2, 952-980 (2016). MSC: 34C37 34C23 65P30 34C20 34E10 37G20 37M20 PDFBibTeX XMLCite \textit{B. Al-Hdaibat} et al., SIAM J. Appl. Dyn. Syst. 15, No. 2, 952--980 (2016; Zbl 1343.34104) Full Text: DOI