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
Giraldo, Andrus; Krauskopf, Bernd; Osinga, Hinke M. Cascades of global bifurcations and chaos near a homoclinic flip bifurcation: a case study. (English) Zbl 1408.37087 SIAM J. Appl. Dyn. Syst. 17, No. 4, 2784-2829 (2018). MSC: 37G20 37C29 37M20 34C45 34C23 37D45 PDFBibTeX XMLCite \textit{A. Giraldo} et al., SIAM J. Appl. Dyn. Syst. 17, No. 4, 2784--2829 (2018; Zbl 1408.37087) Full Text: DOI
Yagasaki, Kazuyuki Melnikov processes and chaos in randomly perturbed dynamical systems. (English) Zbl 1393.37065 Nonlinearity 31, No. 7, 3057-3085 (2018). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 37H10 37D45 34F05 34C37 34C45 PDFBibTeX XMLCite \textit{K. Yagasaki}, Nonlinearity 31, No. 7, 3057--3085 (2018; Zbl 1393.37065) Full Text: DOI
Leonov, G. A.; Andrievskiy, B. R.; Mokaev, R. N. Asymptotic behavior of solutions of Lorenz-like systems: analytical results and computer error structures. (English. Russian original) Zbl 1385.34014 Vestn. St. Petersbg. Univ., Math. 50, No. 1, 15-23 (2017); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 62, No. 1, 25-37 (2017). MSC: 34A34 34C28 37D45 34D08 34D05 34D23 34C45 PDFBibTeX XMLCite \textit{G. A. Leonov} et al., Vestn. St. Petersbg. Univ., Math. 50, No. 1, 15--23 (2017; Zbl 1385.34014); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 62, No. 1, 25--37 (2017) Full Text: DOI
Aguirre, Pablo Bifurcations of two-dimensional global invariant manifolds near a noncentral saddle-node homoclinic orbit. (English) Zbl 1358.37089 SIAM J. Appl. Dyn. Syst. 14, No. 3, 1600-1643 (2015). MSC: 37G20 37C29 37D10 37C10 37M20 PDFBibTeX XMLCite \textit{P. Aguirre}, SIAM J. Appl. Dyn. Syst. 14, No. 3, 1600--1643 (2015; Zbl 1358.37089) Full Text: DOI
Aguirre, Pablo; Krauskopf, Bernd; Osinga, Hinke M. Global invariant manifolds near a Shilnikov homoclinic bifurcation. (English) Zbl 1309.34077 J. Comput. Dyn. 1, No. 1, 1-38 (2014). MSC: 34C37 34C45 37D45 34C23 37M99 PDFBibTeX XMLCite \textit{P. Aguirre} et al., J. Comput. Dyn. 1, No. 1, 1--38 (2014; Zbl 1309.34077) Full Text: DOI
Guckenheimer, John; Kuehn, Christian Homoclinic orbits of the FitzHugh-Nagumo equation: bifurcations in the full system. (English) Zbl 1210.34060 SIAM J. Appl. Dyn. Syst. 9, No. 1, 138-153 (2010). Reviewer: E. V. Shchetinina (Samara) MSC: 34C37 34E13 34E15 37G20 34C26 37D45 34C23 34C45 PDFBibTeX XMLCite \textit{J. Guckenheimer} and \textit{C. Kuehn}, SIAM J. Appl. Dyn. Syst. 9, No. 1, 138--153 (2010; Zbl 1210.34060) Full Text: DOI arXiv
Desroches, M.; Krauskopf, B.; Osinga, H. M. Numerical continuation of canard orbits in slow-fast dynamical systems. (English) Zbl 1191.34072 Nonlinearity 23, No. 3, 739-765 (2010). MSC: 34E17 34E15 34C45 65L10 34B15 34C23 34C20 PDFBibTeX XMLCite \textit{M. Desroches} et al., Nonlinearity 23, No. 3, 739--765 (2010; Zbl 1191.34072) Full Text: DOI
Yagasaki, Kazuyuki Invariant manifolds and control of hyperbolic trajectories on infinite- or finite-time intervals. (English) Zbl 1166.37006 Dyn. Syst. 23, No. 3, 309-331 (2008). Reviewer: Stefan Hilger (Eichstätt) MSC: 37C60 37D10 37D05 PDFBibTeX XMLCite \textit{K. Yagasaki}, Dyn. Syst. 23, No. 3, 309--331 (2008; Zbl 1166.37006) Full Text: DOI