Kusdiantara, R.; Susanto, H. Snakes in square, honeycomb and triangular lattices. (English) Zbl 1427.39005 Nonlinearity 32, No. 12, 5170-5190 (2019). MSC: 39A14 39A28 35R02 PDF BibTeX XML Cite \textit{R. Kusdiantara} and \textit{H. Susanto}, Nonlinearity 32, No. 12, 5170--5190 (2019; Zbl 1427.39005) Full Text: DOI
Makrides, Elizabeth; Sandstede, Björn Existence and stability of spatially localized patterns. (English) Zbl 1405.35076 J. Differ. Equations 266, No. 2-3, 1073-1120 (2019). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35K41 PDF BibTeX XML Cite \textit{E. Makrides} and \textit{B. Sandstede}, J. Differ. Equations 266, No. 2--3, 1073--1120 (2019; Zbl 1405.35076) Full Text: DOI
Agaoglou, M.; Fečkan, Michal; Pospíšil, Michal; Rothos, V. M.; Susanto, H. Gain-loss-driven travelling waves in PT-symmetric nonlinear metamaterials. (English) Zbl 07213201 Wave Motion 76, 9-18 (2018). MSC: 65 34 PDF BibTeX XML Cite \textit{M. Agaoglou} et al., Wave Motion 76, 9--18 (2018; Zbl 07213201) Full Text: DOI
Kreilos, Tobias; Schneider, Tobias M. Fully localized post-buckling states of cylindrical shells under axial compression. (English) Zbl 1402.74072 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2205, Article ID 20170177, 16 p. (2017). MSC: 74K25 74G60 74S30 PDF BibTeX XML Cite \textit{T. Kreilos} and \textit{T. M. Schneider}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2205, Article ID 20170177, 16 p. (2017; Zbl 1402.74072) 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 PDF BibTeX XML Cite \textit{N. Gavish} et al., SIAM J. Appl. Dyn. Syst. 16, No. 4, 1946--1968 (2017; Zbl 1381.37104) Full Text: DOI arXiv
Dawes, J. H. P.; Williams, J. L. M. Localised pattern formation in a model for dryland vegetation. (English) Zbl 1351.35231 J. Math. Biol. 73, No. 1, 63-90 (2016). MSC: 35Q92 35B36 35B32 92D40 PDF BibTeX XML Cite \textit{J. H. P. Dawes} and \textit{J. L. M. Williams}, J. Math. Biol. 73, No. 1, 63--90 (2016; Zbl 1351.35231) Full Text: DOI
Goh, Ryan; Scheel, Arnd Pattern formation in the wake of triggered pushed fronts. (English) Zbl 1353.35055 Nonlinearity 29, No. 8, 2196-2237 (2016). Reviewer: Thomas Giletti (Vandœuvre-lès-Nancy) MSC: 35B36 37C29 35C07 37G25 35Q56 PDF BibTeX XML Cite \textit{R. Goh} and \textit{A. Scheel}, Nonlinearity 29, No. 8, 2196--2237 (2016; Zbl 1353.35055) Full Text: DOI arXiv
Meron, Ehud Pattern formation – a missing link in the study of ecosystem response to environmental changes. (English) Zbl 1364.92060 Math. Biosci. 271, 1-18 (2016). MSC: 92D40 35K55 35K57 45K05 PDF BibTeX XML Cite \textit{E. Meron}, Math. Biosci. 271, 1--18 (2016; Zbl 1364.92060) Full Text: DOI
Knobloch, Jürgen; Vielitz, Martin Non-conservative perturbations of homoclinic snaking scenarios. (English) Zbl 1352.37059 J. Differ. Equations 260, No. 1, 517-566 (2016). MSC: 37C29 37G20 37G40 37J20 34C23 PDF BibTeX XML Cite \textit{J. Knobloch} and \textit{M. Vielitz}, J. Differ. Equations 260, No. 1, 517--566 (2016; Zbl 1352.37059) Full Text: DOI
Dean, A. D.; Matthews, P. C.; Cox, S. M.; King, J. R. Orientation-dependent pinning and homoclinic snaking on a planar lattice. (English) Zbl 1370.37137 SIAM J. Appl. Dyn. Syst. 14, No. 1, 481-521 (2015). MSC: 37L60 39A60 PDF BibTeX XML Cite \textit{A. D. Dean} et al., SIAM J. Appl. Dyn. Syst. 14, No. 1, 481--521 (2015; Zbl 1370.37137) Full Text: DOI
Morgan, David; Dawes, Jonathan H. P. The Swift-Hohenberg equation with a nonlocal nonlinearity. (English) Zbl 1288.35067 Physica D 270, 60-80 (2014). MSC: 35B36 35R09 35B32 35K57 35Q56 PDF BibTeX XML Cite \textit{D. Morgan} and \textit{J. H. P. Dawes}, Physica D 270, 60--80 (2014; Zbl 1288.35067) Full Text: DOI
Makrides, Elizabeth; Sandstede, Björn Predicting the bifurcation structure of localized snaking patterns. (English) Zbl 1288.35066 Physica D 268, 59-78 (2014). MSC: 35B36 35B32 PDF BibTeX XML Cite \textit{E. Makrides} and \textit{B. Sandstede}, Physica D 268, 59--78 (2014; Zbl 1288.35066) Full Text: DOI
Lloyd, David J. B.; O’Farrell, Hayley On localised hotspots of an urban crime model. (English) Zbl 1284.91486 Physica D 253, 23-39 (2013). MSC: 91D10 34C37 35B36 PDF BibTeX XML Cite \textit{D. J. B. Lloyd} and \textit{H. O'Farrell}, Physica D 253, 23--39 (2013; Zbl 1284.91486) Full Text: DOI
Knobloch, Jürgen; Vielitz, Martin; Wagenknecht, Thomas Non-reversible perturbations of homoclinic snaking scenarios. (English) Zbl 1286.37024 Nonlinearity 25, No. 12, 3469-3485 (2012). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 37C29 37G25 37G20 PDF BibTeX XML Cite \textit{J. Knobloch} et al., Nonlinearity 25, No. 12, 3469--3485 (2012; Zbl 1286.37024) Full Text: DOI
Champneys, A. R.; Knobloch, E.; Ma, Y.-P.; Wagenknecht, T. Homoclinic snakes bounded by a saddle-center periodic orbit. (English) Zbl 1260.34082 SIAM J. Appl. Dyn. Syst. 11, No. 4, 1583-1613 (2012). MSC: 34C37 34C23 PDF BibTeX XML Cite \textit{A. R. Champneys} et al., SIAM J. Appl. Dyn. Syst. 11, No. 4, 1583--1613 (2012; Zbl 1260.34082) Full Text: DOI
Burke, John; Dawes, Jonathan H. P. Localized states in an extended Swift-Hohenberg equation. (English) Zbl 1242.35047 SIAM J. Appl. Dyn. Syst. 11, No. 1, 261-284 (2012). MSC: 35B36 35B32 37G05 37L10 PDF BibTeX XML Cite \textit{J. Burke} and \textit{J. H. P. Dawes}, SIAM J. Appl. Dyn. Syst. 11, No. 1, 261--284 (2012; Zbl 1242.35047) Full Text: DOI
Riess, Thorsten Numerical study of secondary heteroclinic bifurcations near non-reversible homoclinic snaking. (English) Zbl 1306.37024 Discrete Contin. Dyn. Syst. 2011, Suppl., 1244-1253 (2011). MSC: 37C29 37M20 34C37 65L10 PDF BibTeX XML Cite \textit{T. Riess}, Discrete Contin. Dyn. Syst. 2011, 1244--1253 (2011; Zbl 1306.37024) Full Text: Link
Knobloch, Jürgen; Rieß, Thorsten; Vielitz, Martin Nonreversible homoclinic snaking. (English) Zbl 1228.37024 Dyn. Syst. 26, No. 3, 335-365 (2011). MSC: 37C27 37C29 37G20 37G25 PDF BibTeX XML Cite \textit{J. Knobloch} et al., Dyn. Syst. 26, No. 3, 335--365 (2011; Zbl 1228.37024) Full Text: DOI arXiv
Knobloch, Jürgen; Lloyd, David J. B.; Sandstede, Björn; Wagenknecht, Thomas Isolas of 2-pulse solutions in homoclinic snaking scenarios. (English) Zbl 1222.34040 J. Dyn. Differ. Equations 23, No. 1, 93-114 (2011). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34C23 34C37 34C14 34C05 PDF BibTeX XML Cite \textit{J. Knobloch} et al., J. Dyn. Differ. Equations 23, No. 1, 93--114 (2011; Zbl 1222.34040) Full Text: DOI
Yulin, Alexey; Champneys, Alan Snake-to-isola transition and moving solitons via symmetry-breaking in discrete optical cavities. (English) Zbl 1223.37033 Discrete Contin. Dyn. Syst., Ser. S 4, No. 5, 1341-1357 (2011). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 37C29 37G25 37K40 37L60 PDF BibTeX XML Cite \textit{A. Yulin} and \textit{A. Champneys}, Discrete Contin. Dyn. Syst., Ser. S 4, No. 5, 1341--1357 (2011; Zbl 1223.37033) Full Text: DOI
Taylor, Chris; Dawes, Jonathan H. P. Snaking and isolas of localised states in bistable discrete lattices. (English) Zbl 1241.35201 Phys. Lett., A 375, No. 1, 14-22 (2010). MSC: 35Q82 35C08 35B36 37L60 PDF BibTeX XML Cite \textit{C. Taylor} and \textit{J. H. P. Dawes}, Phys. Lett., A 375, No. 1, 14--22 (2010; Zbl 1241.35201) Full Text: DOI arXiv
Dawes, J. H. P. The emergence of a coherent structure for coherent structures: localized states in nonlinear systems. (English) Zbl 1202.37112 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 368, No. 1924, 3519-3534 (2010). MSC: 37L10 PDF BibTeX XML Cite \textit{J. H. P. Dawes}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 368, No. 1924, 3519--3534 (2010; Zbl 1202.37112) Full Text: DOI
Ma, Y.-P.; Burke, J.; Knobloch, E. Defect-mediated snaking: a new growth mechanism for localized structures. (English) Zbl 1213.37033 Physica D 239, No. 19, 1867-1883 (2010). Reviewer: Kwok-wai Chung (Kowloon, Hong Kong) MSC: 37C29 35B32 37K50 PDF BibTeX XML Cite \textit{Y. P. Ma} et al., Physica D 239, No. 19, 1867--1883 (2010; Zbl 1213.37033) Full Text: DOI
Avitabile, Daniele; Lloyd, David J. B.; Burke, John; Knobloch, Edgar; Sandstede, Björn To snake or not to snake in the planar Swift-Hohenberg equation. (English) Zbl 1200.37014 SIAM J. Appl. Dyn. Syst. 9, No. 3, 704-733 (2010). Reviewer: Kwok-wai Chung (Kowloon, Hong Kong) MSC: 37C29 35B32 37K50 PDF BibTeX XML Cite \textit{D. Avitabile} et al., SIAM J. Appl. Dyn. Syst. 9, No. 3, 704--733 (2010; Zbl 1200.37014) Full Text: DOI
Yulin, A. V.; Champneys, A. R. Discrete snaking: multiple cavity solitons in saturable media. (English) Zbl 1193.35172 SIAM J. Appl. Dyn. Syst. 9, No. 2, 391-431 (2010). MSC: 35Q51 37L60 34C15 78A15 35B65 PDF BibTeX XML Cite \textit{A. V. Yulin} and \textit{A. R. Champneys}, SIAM J. Appl. Dyn. Syst. 9, No. 2, 391--431 (2010; Zbl 1193.35172) Full Text: DOI
Dawes, J. H. P.; Lilley, Sarah Localized states in a model of pattern formation in a vertically vibrated layer. (English) Zbl 1201.35045 SIAM J. Appl. Dyn. Syst. 9, No. 1, 238-260 (2010). Reviewer: Svetlana A. Grishina (Ulyanovsk) MSC: 35B40 35B36 35Q55 35K59 35B32 76T25 PDF BibTeX XML Cite \textit{J. H. P. Dawes} and \textit{S. Lilley}, SIAM J. Appl. Dyn. Syst. 9, No. 1, 238--260 (2010; Zbl 1201.35045) Full Text: DOI
Beck, Margaret; Knobloch, Jürgen; Lloyd, David J. B.; Sandstede, Björn; Wagenknecht, Thomas Snakes, ladders, and isolas of localized patterns. (English) Zbl 1200.37015 SIAM J. Math. Anal. 41, No. 3, 936-972 (2009). Reviewer: Kwok-wai Chung (Kowloon, Hong Kong) MSC: 37C29 35B32 37K50 PDF BibTeX XML Cite \textit{M. Beck} et al., SIAM J. Math. Anal. 41, No. 3, 936--972 (2009; Zbl 1200.37015) Full Text: DOI
Burke, J.; Knobloch, Edgar Multipulse states in the Swift-Hohenberg equation. (English) Zbl 1184.70019 Discrete Contin. Dyn. Syst. 2009, Suppl., 109-117 (2009). MSC: 70K44 37G15 37L15 PDF BibTeX XML Cite \textit{J. Burke} and \textit{E. Knobloch}, Discrete Contin. Dyn. Syst. 2009, 109--117 (2009; Zbl 1184.70019) Full Text: Link
Champneys, Alan R.; Kirk, Vivien; Knobloch, Edgar; Oldeman, Bart E.; Rademacher, J. D. M. Unfolding a tangent equilibrium-to-periodic heteroclinic cycle. (English) Zbl 1187.34056 SIAM J. Appl. Dyn. Syst. 8, No. 3, 1261-1304 (2009). Reviewer: Weinian Zhang (Sichuan) MSC: 34C37 34C23 37C29 37G20 34C45 PDF BibTeX XML Cite \textit{A. R. Champneys} et al., SIAM J. Appl. Dyn. Syst. 8, No. 3, 1261--1304 (2009; Zbl 1187.34056) Full Text: DOI
Dawes, J. H. P. Modulated and localized states in a finite domain. (English) Zbl 1167.76016 SIAM J. Appl. Dyn. Syst. 8, No. 3, 909-930 (2009). MSC: 76E99 35B32 PDF BibTeX XML Cite \textit{J. H. P. Dawes}, SIAM J. Appl. Dyn. Syst. 8, No. 3, 909--930 (2009; Zbl 1167.76016) 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 PDF BibTeX XML Cite \textit{J. Knobloch} and \textit{T. Wagenknecht}, SIAM J. Appl. Dyn. Syst. 7, No. 4, 1397--1420 (2008; Zbl 1183.34058) Full Text: DOI
Dawes, J. H. P. Localized pattern formation with a large-scale mode: Slanted snaking. (English) Zbl 1159.76333 SIAM J. Appl. Dyn. Syst. 7, No. 1, 186-206 (2008). MSC: 76E25 34E13 35B32 PDF BibTeX XML Cite \textit{J. H. P. Dawes}, SIAM J. Appl. Dyn. Syst. 7, No. 1, 186--206 (2008; Zbl 1159.76333) Full Text: DOI
Assemat, P.; Bergeon, A.; Knobloch, E. Spatially localized states in Marangoni convection in binary mixtures. (English) Zbl 1148.76024 Fluid Dyn. Res. 40, No. 11-12, 852-876 (2008). MSC: 76E06 76D45 80A20 PDF BibTeX XML Cite \textit{P. Assemat} et al., Fluid Dyn. Res. 40, No. 11--12, 852--876 (2008; Zbl 1148.76024) Full Text: DOI
Bergeon, A.; Knobloch, E. Periodic and localized states in natural doubly diffusive convection. (English) Zbl 1138.76039 Physica D 237, No. 8, 1139-1150 (2008). MSC: 76E06 76R10 76R50 PDF BibTeX XML Cite \textit{A. Bergeon} and \textit{E. Knobloch}, Physica D 237, No. 8, 1139--1150 (2008; Zbl 1138.76039) Full Text: DOI
Burke, John; Knobloch, Edgar Snakes and ladders: localized states in the Swift-Hohenberg equation. (English) Zbl 1236.35144 Phys. Lett., A 360, No. 6, 681-688 (2006). MSC: 35Q53 35K55 37L10 PDF BibTeX XML Cite \textit{J. Burke} and \textit{E. Knobloch}, Phys. Lett., A 360, No. 6, 681--688 (2006; Zbl 1236.35144) 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 PDF BibTeX XML Cite \textit{J. Knobloch} and \textit{T. Wagenknecht}, Physica D 206, No. 1--2, 82--93 (2005; Zbl 1084.34049) Full Text: DOI