Algaba, A.; Domínguez-Moreno, M. C.; Merino, M.; Rodríguez-Luis, A. J. Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system. (English) Zbl 1500.34016 Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106482, 23 p. (2022). Reviewer: Yong Ye (Shenzhen) MSC: 34A34 34C20 34C23 34D45 34C37 34E10 34C05 37D45 PDFBibTeX XMLCite \textit{A. Algaba} et al., Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106482, 23 p. (2022; Zbl 1500.34016) Full Text: DOI
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
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
Yagasaki, Kazuyuki Melnikov’s method and codimension-two bifurcations in forced oscillations. (English) Zbl 1027.34048 J. Differ. Equations 185, No. 1, 1-24 (2002). Reviewer: Pedro J.Torres (Granada) MSC: 34C23 34E10 34C25 PDFBibTeX XMLCite \textit{K. Yagasaki}, J. Differ. Equations 185, No. 1, 1--24 (2002; Zbl 1027.34048) Full Text: DOI