Ivanov, Milen; Sandstede, Björn Truncation of contact defects in reaction-diffusion systems. (English) Zbl 07796513 SIAM J. Appl. Dyn. Syst. 23, No. 1, 26-49 (2024). Reviewer: Jia-Yuan Dai (Taichung) MSC: 35K57 35B10 35B36 35K45 PDFBibTeX XMLCite \textit{M. Ivanov} and \textit{B. Sandstede}, SIAM J. Appl. Dyn. Syst. 23, No. 1, 26--49 (2024; Zbl 07796513) Full Text: DOI arXiv
Parker, Ross; Cuevas-Maraver, Jesús; Kevrekidis, P. G.; Aceves, Alejandro Revisiting multi-breathers in the discrete Klein-Gordon equation: a spatial dynamics approach. (English) Zbl 1506.37094 Nonlinearity 35, No. 11, 5714-5748 (2022). MSC: 37K45 37K40 37K60 PDFBibTeX XMLCite \textit{R. Parker} et al., Nonlinearity 35, No. 11, 5714--5748 (2022; Zbl 1506.37094) Full Text: DOI arXiv
Parker, Ross; Sandstede, Björn Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry. (English) Zbl 1528.37060 J. Differ. Equations 334, 368-450 (2022). MSC: 37K45 37K50 35Q53 35B10 35P15 35P30 PDFBibTeX XMLCite \textit{R. Parker} and \textit{B. Sandstede}, J. Differ. Equations 334, 368--450 (2022; Zbl 1528.37060) Full Text: DOI arXiv
Parker, Ross; Kevrekidis, P. G.; Sandstede, Björn Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems. (English) Zbl 1493.37089 Physica D 408, Article ID 132414, 21 p. (2020). MSC: 37K60 37K40 39A36 PDFBibTeX XMLCite \textit{R. Parker} et al., Physica D 408, Article ID 132414, 21 p. (2020; Zbl 1493.37089) Full Text: DOI arXiv
Musoke, Elle; Krauskopf, Bernd; Osinga, Hinke M. A surface of heteroclinic connections between two saddle slow manifolds in the Olsen model. (English) Zbl 1461.34072 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 16, Article ID 2030048, 33 p. (2020). MSC: 34C60 34C45 92C45 34E20 34C05 34C37 37M21 PDFBibTeX XMLCite \textit{E. Musoke} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 16, Article ID 2030048, 33 p. (2020; Zbl 1461.34072) Full Text: DOI
Giraldo, Andrus; Krauskopf, Bernd; Osinga, Hinke M. Computing connecting orbits to infinity associated with a homoclinic flip bifurcation. (English) Zbl 1450.37074 J. Comput. Dyn. 7, No. 2, 489-510 (2020). MSC: 37M20 37M21 37C29 37G25 PDFBibTeX XMLCite \textit{A. Giraldo} et al., J. Comput. Dyn. 7, No. 2, 489--510 (2020; Zbl 1450.37074) Full Text: DOI
Bastiaansen, Robbin; Carter, Paul; Doelman, Arjen Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems. (English) Zbl 1419.35104 Nonlinearity 32, No. 8, 2759-2814 (2019). MSC: 35K57 35C07 35B25 35B35 35Q92 92D40 PDFBibTeX XMLCite \textit{R. Bastiaansen} et al., Nonlinearity 32, No. 8, 2759--2814 (2019; Zbl 1419.35104) Full Text: DOI arXiv
de Rijk, Björn Spectra and stability of spatially periodic pulse patterns. II: The critical spectral curve. (English) Zbl 1418.35015 SIAM J. Math. Anal. 50, No. 2, 1958-2019 (2018). Reviewer: Denise Huet (Nancy) MSC: 35B10 35B35 35B25 35K57 34L10 PDFBibTeX XMLCite \textit{B. de Rijk}, SIAM J. Math. Anal. 50, No. 2, 1958--2019 (2018; Zbl 1418.35015) Full Text: DOI
Mujica, José; Krauskopf, Bernd; Osinga, Hinke M. A Lin’s method approach for detecting all canard orbits arising from a folded node. (English) Zbl 1397.34096 J. Comput. Dyn. 4, No. 1-2, 143-165 (2017). MSC: 34E17 65L10 34B15 65L11 34A45 34E15 34C45 37M99 PDFBibTeX XMLCite \textit{J. Mujica} et al., J. Comput. Dyn. 4, No. 1--2, 143--165 (2017; Zbl 1397.34096) Full Text: DOI
Carter, Paul; de Rijk, Björn; Sandstede, Björn Stability of traveling pulses with oscillatory tails in the FitzHugh-Nagumo system. (English) Zbl 1361.35024 J. Nonlinear Sci. 26, No. 5, 1369-1444 (2016). Reviewer: Guy Katriel (Haifa) MSC: 35B35 35C07 35B25 35P15 35K57 PDFBibTeX XMLCite \textit{P. Carter} et al., J. Nonlinear Sci. 26, No. 5, 1369--1444 (2016; Zbl 1361.35024) Full Text: DOI
Zhang, Wenjun; Krauskopf, Bernd; Kirk, Vivien How to find a codimension-one heteroclinic cycle between two periodic orbits. (English) Zbl 1246.34047 Discrete Contin. Dyn. Syst. 32, No. 8, 2825-2851 (2012). MSC: 34C37 34C23 37G15 34B15 34C05 PDFBibTeX XMLCite \textit{W. Zhang} et al., Discrete Contin. Dyn. Syst. 32, No. 8, 2825--2851 (2012; Zbl 1246.34047) Full Text: DOI
Hupkes, Hermen Jan; Sandstede, Björn Traveling pulse solutions for the discrete FitzHugh-Nagumo system. (English) Zbl 1211.34007 SIAM J. Appl. Dyn. Syst. 9, No. 3, 827-882 (2010). Reviewer: Zhi-Cheng Wang (Lanzhou) MSC: 34A33 34D35 34E20 34B15 PDFBibTeX XMLCite \textit{H. J. Hupkes} and \textit{B. Sandstede}, SIAM J. Appl. Dyn. Syst. 9, No. 3, 827--882 (2010; Zbl 1211.34007) Full Text: DOI
Knobloch, Jürgen; Rieß, Thorsten Lin’s method for heteroclinic chains involving periodic orbits. (English) Zbl 1187.37032 Nonlinearity 23, No. 1, 23-54 (2010). Reviewer: Christian Pötzsche (München) MSC: 37C29 37G25 34C23 34C60 PDFBibTeX XMLCite \textit{J. Knobloch} and \textit{T. Rieß}, Nonlinearity 23, No. 1, 23--54 (2010; Zbl 1187.37032) Full Text: DOI arXiv
Manukian, Vahagn; Costanzino, Nicola; Jones, Christopher K. R. T.; Sandstede, Björn Existence of multi-pulses of the regularized short-pulse and Ostrovsky equations. (English) Zbl 1180.35053 J. Dyn. Differ. Equations 21, No. 4, 607-622 (2009). MSC: 35B25 35B32 35Q60 PDFBibTeX XMLCite \textit{V. Manukian} et al., J. Dyn. Differ. Equations 21, No. 4, 607--622 (2009; Zbl 1180.35053) Full Text: DOI arXiv
Georgi, Marc The dynamical behaviour near solitary waves in Hamiltonian lattice differential equations. (English) Zbl 1192.34071 Indiana Univ. Math. J. 58, No. 5, 2161-2204 (2009). MSC: 34K05 34K18 34K19 34K30 37K60 34A33 PDFBibTeX XMLCite \textit{M. Georgi}, Indiana Univ. Math. J. 58, No. 5, 2161--2204 (2009; Zbl 1192.34071) Full Text: DOI
Knobloch, J.; Wagenknecht, T. Snaking of multiple homoclinic orbits in reversible systems. (English) Zbl 1183.34058 SIAM J. Appl. Dyn. Syst. 7, No. 4, 1397-1420 (2008). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34C37 34C23 37C29 PDFBibTeX XMLCite \textit{J. Knobloch} and \textit{T. Wagenknecht}, SIAM J. Appl. Dyn. Syst. 7, No. 4, 1397--1420 (2008; Zbl 1183.34058) Full Text: DOI
Krauskopf, Bernd; Rieß, Thorsten A Lin’s method approach to finding and continuing heteroclinic connections involving periodic orbits. (English) Zbl 1163.34028 Nonlinearity 21, No. 8, 1655-1690 (2008). Reviewer: Jürgen Knobloch (Ilmenau) MSC: 34C37 37M20 65L10 34C60 PDFBibTeX XMLCite \textit{B. Krauskopf} and \textit{T. Rieß}, Nonlinearity 21, No. 8, 1655--1690 (2008; Zbl 1163.34028) Full Text: DOI Link
Knobloch, J. Chaotic behaviour near non-transversal homoclinic points with quadratic tangency. (English) Zbl 1126.39012 J. Difference Equ. Appl. 12, No. 10, 1037-1056 (2006). Reviewer: Eduardo Liz (Vigo) MSC: 39A12 37G25 37B10 37C05 37C29 37D45 PDFBibTeX XMLCite \textit{J. Knobloch}, J. Difference Equ. Appl. 12, No. 10, 1037--1056 (2006; Zbl 1126.39012) Full Text: DOI
Knobloch, J.; Wagenknecht, T. Homoclinic snaking near a heteroclinic cycle in reversible systems. (English) Zbl 1084.34049 Physica D 206, No. 1-2, 82-93 (2005). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C37 34C23 34E05 PDFBibTeX XMLCite \textit{J. Knobloch} and \textit{T. Wagenknecht}, Physica D 206, No. 1--2, 82--93 (2005; Zbl 1084.34049) Full Text: DOI Link
Shivamoggi, Bhimsen K. Theoretical fluid dynamics. 2nd ed. (English) Zbl 0897.76001 New York, NY: John Wiley & Sons. xix, 555 p. (1998). Reviewer: M.Brutyan (Zhukovskij) MSC: 76-02 76E05 76Nxx 76G25 76Bxx 76Dxx 76Fxx PDFBibTeX XMLCite \textit{B. K. Shivamoggi}, Theoretical fluid dynamics. 2nd ed. New York, NY: John Wiley \& Sons (1998; Zbl 0897.76001)
Valeev, K. G.; Gredzhuk, I. F. Convergence of Lin’s method and of its modification. (Russian. English summary) Zbl 0551.65026 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1984, No. 6, 3-5 (1984). MSC: 65H05 26C10 PDFBibTeX XMLCite \textit{K. G. Valeev} and \textit{I. F. Gredzhuk}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1984, No. 6, 3--5 (1984; Zbl 0551.65026)
Pearson, Carl E. Dual time scales in a wave problem governed by coupled nonlinear equations. (English) Zbl 0474.76022 SIAM Rev. 23, 425-433 (1981). MSC: 76B15 76N10 35L45 65Z05 35L60 PDFBibTeX XMLCite \textit{C. E. Pearson}, SIAM Rev. 23, 425--433 (1981; Zbl 0474.76022) Full Text: DOI