Zhang, Chunrui; Zheng, Baodong Steady state bifurcation and patterns of reaction-diffusion equations. (English) Zbl 1450.35053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 11, Article ID 2050215, 10 p. (2020). MSC: 35B32 35J57 35J61 35B06 58E09 PDF BibTeX XML Cite \textit{C. Zhang} and \textit{B. Zheng}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 11, Article ID 2050215, 10 p. (2020; Zbl 1450.35053) Full Text: DOI
Zhao, Xinyue Evelyn; Hu, Bei Symmetry-breaking bifurcation for a free-boundary tumor model with time delay. (English) Zbl 1439.35042 J. Differ. Equations 269, No. 3, 1829-1862 (2020). MSC: 35B32 35R35 35Q92 58E09 PDF BibTeX XML Cite \textit{X. E. Zhao} and \textit{B. Hu}, J. Differ. Equations 269, No. 3, 1829--1862 (2020; Zbl 1439.35042) Full Text: DOI
Wu, Hong-Yu; Fei, Jin-Xi; Ma, Zheng-Yi; Chen, Jun-Chao; Ma, Wen-Xiu Symmetry breaking soliton, breather, and lump solutions of a nonlocal Kadomtsev-Petviashvili system. (English) Zbl 1441.35017 Complexity 2020, Article ID 6423205, 13 p. (2020). MSC: 35B06 58E09 35Q55 PDF BibTeX XML Cite \textit{H.-Y. Wu} et al., Complexity 2020, Article ID 6423205, 13 p. (2020; Zbl 1441.35017) Full Text: DOI
Gołȩbiewska, Anna; Stefaniak, Piotr Global bifurcation from an orbit of solutions to non-cooperative semi-linear Neumann problem. (English) Zbl 07179597 J. Differ. Equations 268, No. 11, 6702-6728 (2020). MSC: 58E09 35J50 PDF BibTeX XML Cite \textit{A. Gołȩbiewska} and \textit{P. Stefaniak}, J. Differ. Equations 268, No. 11, 6702--6728 (2020; Zbl 07179597) Full Text: DOI
Zheng, Jiayue; Xing, Ruixiang Bifurcation for a free-boundary tumor model with extracellular matrix and matrix degrading enzymes. (English) Zbl 1430.35023 J. Differ. Equations 268, No. 6, 3152-3170 (2020). MSC: 35B32 35Q92 35R35 58E09 35J57 35J61 PDF BibTeX XML Cite \textit{J. Zheng} and \textit{R. Xing}, J. Differ. Equations 268, No. 6, 3152--3170 (2020; Zbl 1430.35023) Full Text: DOI
Golȩbiewska, Anna; Hirano, Norimichi; Rybicki, Slawomir Global symmetry-breaking bifurcations of critical orbits of invariant functionals. (English) Zbl 1426.58003 Discrete Contin. Dyn. Syst., Ser. S 12, No. 7, 2005-2017 (2019). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 58E09 35J50 PDF BibTeX XML Cite \textit{A. Golȩbiewska} et al., Discrete Contin. Dyn. Syst., Ser. S 12, No. 7, 2005--2017 (2019; Zbl 1426.58003) Full Text: DOI
Dharmavaram, Sanjay; Healey, Timothy J. Direct construction of symmetry-breaking directions in bifurcation problems with spherical symmetry. (English) Zbl 1422.37032 Discrete Contin. Dyn. Syst., Ser. S 12, No. 6, 1669-1684 (2019). MSC: 37G40 58E09 33C55 13A50 PDF BibTeX XML Cite \textit{S. Dharmavaram} and \textit{T. J. Healey}, Discrete Contin. Dyn. Syst., Ser. S 12, No. 6, 1669--1684 (2019; Zbl 1422.37032) Full Text: DOI
Kosovalić, Nemanja; Pigott, Brian Self-excited vibrations for damped and delayed higher dimensional wave equations. (English) Zbl 1426.35024 Discrete Contin. Dyn. Syst. 39, No. 5, 2413-2435 (2019). Reviewer: Lutz Recke (Berlin) MSC: 35B32 58E09 35L71 35L20 35B10 35C10 PDF BibTeX XML Cite \textit{N. Kosovalić} and \textit{B. Pigott}, Discrete Contin. Dyn. Syst. 39, No. 5, 2413--2435 (2019; Zbl 1426.35024) Full Text: DOI
Fall, Mouhamed Moustapha; Minlend, Ignace Aristide; Weth, Tobias Serrin’s overdetermined problem on the sphere. (English) Zbl 1403.35183 Calc. Var. Partial Differ. Equ. 57, No. 1, Paper No. 3, 24 p. (2018). Reviewer: Guowei Dai (Dalian) MSC: 35N25 58E09 58J55 34C25 PDF BibTeX XML Cite \textit{M. M. Fall} et al., Calc. Var. Partial Differ. Equ. 57, No. 1, Paper No. 3, 24 p. (2018; Zbl 1403.35183) Full Text: DOI arXiv
Guo, Shangjiang Spatio-temporal patterns in a diffusive model with non-local delay effect. (English) Zbl 1404.35036 IMA J. Appl. Math. 82, No. 4, 864-908 (2017). MSC: 35B36 35B32 35K57 37L10 58E09 PDF BibTeX XML Cite \textit{S. Guo}, IMA J. Appl. Math. 82, No. 4, 864--908 (2017; Zbl 1404.35036) Full Text: DOI
Lessard, Jean-Philippe; Sander, Evelyn; Wanner, Thomas Rigorous continuation of bifurcation points in the diblock copolymer equation. (English) Zbl 1404.35030 J. Comput. Dyn. 4, No. 1-2, 71-118 (2017). MSC: 35B32 35B40 65G20 65P30 35B41 35K55 65G30 65N35 74N99 58E09 35K35 PDF BibTeX XML Cite \textit{J.-P. Lessard} et al., J. Comput. Dyn. 4, No. 1--2, 71--118 (2017; Zbl 1404.35030) Full Text: DOI
Contreras, A.; Garcia-Azpeitia, C.; García-Cervera, C. J.; Joo, S. The onset of layer undulations in smectic A liquid crystals due to a strong magnetic field. (English) Zbl 1346.82040 Nonlinearity 29, No. 8, 2474-2496 (2016). MSC: 82D30 37G40 58E09 76A15 82D40 76W05 35P99 35R09 PDF BibTeX XML Cite \textit{A. Contreras} et al., Nonlinearity 29, No. 8, 2474--2496 (2016; Zbl 1346.82040) Full Text: DOI arXiv
Bárcenas, Noé Mountain pass theorem with infinite discrete symmetry. (English) Zbl 1375.58012 Osaka J. Math. 53, No. 2, 331-350 (2016). Reviewer: Renato G. Bettiol (Bonn) MSC: 58E05 55P91 58E09 58E40 PDF BibTeX XML Cite \textit{N. Bárcenas}, Osaka J. Math. 53, No. 2, 331--350 (2016; Zbl 1375.58012) Full Text: Euclid
Healey, Timothy J.; Kielhöfer, Hansjörg Global symmetry-breaking bifurcation for the van der Waals-Cahn-Hilliard model on the sphere \(S^2\). (English) Zbl 1339.35030 J. Dyn. Differ. Equations 27, No. 3-4, 705-720 (2015). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35B32 35B38 35B45 35J60 58E09 35J25 PDF BibTeX XML Cite \textit{T. J. Healey} and \textit{H. Kielhöfer}, J. Dyn. Differ. Equations 27, No. 3--4, 705--720 (2015; Zbl 1339.35030) Full Text: DOI
Chossat, Pascal; Faye, Grégory Pattern formation for the Swift-Hohenberg equation on the hyperbolic plane. (English) Zbl 1342.35039 J. Dyn. Differ. Equations 27, No. 3-4, 485-531 (2015). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35B36 35B32 34K18 58E09 35C07 35K58 PDF BibTeX XML Cite \textit{P. Chossat} and \textit{G. Faye}, J. Dyn. Differ. Equations 27, No. 3--4, 485--531 (2015; Zbl 1342.35039) Full Text: DOI arXiv
Koiso, Miyuki; Palmer, Bennett; Piccione, Paolo Bifurcation and symmetry breaking of nodoids with fixed boundary. (English) Zbl 1381.58005 Adv. Calc. Var. 8, No. 4, 337-370 (2015). MSC: 58E07 58E09 53A10 PDF BibTeX XML Cite \textit{M. Koiso} et al., Adv. Calc. Var. 8, No. 4, 337--370 (2015; Zbl 1381.58005) Full Text: DOI
Buono, Pietro-Luciano; Eftimie, Raluca Symmetries and pattern formation in hyperbolic versus parabolic models of self-organised aggregation. (English) Zbl 1329.35052 J. Math. Biol. 71, No. 4, 847-881 (2015). MSC: 35B32 35B06 35B36 92B05 35L60 35K57 58E09 PDF BibTeX XML Cite \textit{P.-L. Buono} and \textit{R. Eftimie}, J. Math. Biol. 71, No. 4, 847--881 (2015; Zbl 1329.35052) Full Text: DOI
Wayne, C. Eugene; Weinstein, Michael I. Dynamics of partial differential equations. (English) Zbl 1331.35006 Frontiers in Applied Dynamical Systems: Reviews and Tutorials 3. Cham: Springer (ISBN 978-3-319-19934-4/pbk; 978-3-319-19935-1/ebook). x, 79 p. (2015). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 35-02 35B34 35B25 35Q30 35Q55 58E09 76D05 35-06 76D17 PDF BibTeX XML Cite \textit{C. E. Wayne} and \textit{M. I. Weinstein}, Dynamics of partial differential equations. Cham: Springer (2015; Zbl 1331.35006) Full Text: DOI
Kluczenko, Joanna Multiparameter bifurcation and symmetry breaking of solutions of elliptic differential equations. (English) Zbl 1316.35027 Adv. Differ. Equ. 20, No. 5-6, 531-556 (2015). MSC: 35B32 35J25 35J61 47J15 58E09 PDF BibTeX XML Cite \textit{J. Kluczenko}, Adv. Differ. Equ. 20, No. 5--6, 531--556 (2015; Zbl 1316.35027) Full Text: Euclid
Miyamoto, Yasuhito Nonradial maximizers for a Hénon type problem and symmetry breaking bifurcations for a Liouville-Gel’fand problem with a vanishing coefficient. (English) Zbl 1316.35028 Math. Ann. 361, No. 3-4, 787-809 (2015). Reviewer: Junichi Aramaki (Saitama) MSC: 35B32 35J20 35J61 35B09 35J25 35B07 58E09 PDF BibTeX XML Cite \textit{Y. Miyamoto}, Math. Ann. 361, No. 3--4, 787--809 (2015; Zbl 1316.35028) Full Text: DOI
Loginov, B.; Konopleva, I. Dynamic bifurcation problems on E. Schmidt spectrum in the linearization under group symmetry conditions. (English) Zbl 1357.58016 Rogosin, S. V. (ed.) et al., Analytic methods of analysis and differential equations: AMADE 2012. Selected papers of the 7th international workshop, Minsk, Belarus, September 10–15, 2012. Cambridge: Cambridge Scientific Publishers (ISBN 978-1-908106-29-2/pbk). 101-113 (2014). MSC: 58E09 37G15 PDF BibTeX XML Cite \textit{B. Loginov} and \textit{I. Konopleva}, in: Analytic methods of analysis and differential equations: AMADE 2012. Selected papers of the 7th international workshop, Minsk, Belarus, September 10--15, 2012. Cambridge: Cambridge Scientific Publishers. 101--113 (2014; Zbl 1357.58016)
Bettiol, Renato G.; Piccione, Paolo; Siciliano, Gaetano Equivariant bifurcation in geometric variational problems. (English) Zbl 1321.58010 de Figueiredo, Djairo G. (ed.) et al., Analysis and topology in nonlinear differential equations. A tribute to Bernhard Ruf on the occasion of his 60th birthday. Selected papers based on the presentations at the IX workshop on nonlinear differential equations, João Pessoa, Brazil, September 2012. Cham: Birkhäuser/Springer (ISBN 978-3-319-04213-8/hbk; 978-3-319-04214-5/ebook). Progress in Nonlinear Differential Equations and Their Applications 85, 103-133 (2014). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 58E07 58E09 46T05 58D19 53A10 PDF BibTeX XML Cite \textit{R. G. Bettiol} et al., Prog. Nonlinear Differ. Equ. Appl. 85, 103--133 (2014; Zbl 1321.58010) Full Text: DOI arXiv
Sapronov, Yu. I. Three-type bifurcations of extremals at minimum points of Fredholm functionals under circular symmetry conditions. (Russian. English summary) Zbl 1316.47051 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2014, No. 1, 64-77 (2014). MSC: 47J15 47J05 35A15 35J10 58E09 PDF BibTeX XML Cite \textit{Yu. I. Sapronov}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2014, No. 1, 64--77 (2014; Zbl 1316.47051)
Ramírez-Ospina, Héctor Fabián Multiplicity of constant scalar curvature metrics in \(\mathbb{T}^k \times M\). (English) Zbl 1296.58006 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 109, 103-112 (2014). MSC: 58E11 58J55 58E09 PDF BibTeX XML Cite \textit{H. F. Ramírez-Ospina}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 109, 103--112 (2014; Zbl 1296.58006) Full Text: DOI
Monteiro, Rafael A. Transverse steady bifurcation of viscous shock solutions of a system of parabolic conservation laws in a strip. (English) Zbl 1302.35044 J. Differ. Equations 257, No. 6, 2035-2077 (2014). MSC: 35B32 76W05 58E09 35B10 35C07 PDF BibTeX XML Cite \textit{R. A. Monteiro}, J. Differ. Equations 257, No. 6, 2035--2077 (2014; Zbl 1302.35044) Full Text: DOI
Buono, P.-L.; Eftimie, R. Analysis of Hopf/Hopf bifurcations in nonlocal hyperbolic models for self-organised aggregations. (English) Zbl 1282.35041 Math. Models Methods Appl. Sci. 24, No. 2, 327-357 (2014). MSC: 35B32 35L60 92D40 35L50 58E09 35R09 35B36 PDF BibTeX XML Cite \textit{P. L. Buono} and \textit{R. Eftimie}, Math. Models Methods Appl. Sci. 24, No. 2, 327--357 (2014; Zbl 1282.35041) Full Text: DOI
Böhmer, Klaus; Schild, Karl-Heinz; Schmitt, Bernhard A. Dew drops on spider webs: a symmetry breaking bifurcation for a parabolic differential-algebraic equation. (English) Zbl 1295.35055 J. Comput. Appl. Math. 254, 99-115 (2013). MSC: 35B32 35K65 65M20 53C44 58E09 PDF BibTeX XML Cite \textit{K. Böhmer} et al., J. Comput. Appl. Math. 254, 99--115 (2013; Zbl 1295.35055) Full Text: DOI
Gladiali, Francesca; Grossi, Massimo; Neves, Sérgio L. N. Nonradial solutions for the Hénon equation in \(\mathbb R^N\). (English) Zbl 1335.35077 Adv. Math. 249, 1-36 (2013). Reviewer: Lutz Recke (Berlin) MSC: 35J91 35B32 35A01 35B08 35B09 35A09 58E09 PDF BibTeX XML Cite \textit{F. Gladiali} et al., Adv. Math. 249, 1--36 (2013; Zbl 1335.35077) Full Text: DOI
Miyamoto, Yasuhito Symmetry breaking bifurcation from solutions concentrating on the equator of \(\mathbb S^N\). (English) Zbl 1288.35054 J. Anal. Math. 121, 353-381 (2013). Reviewer: Guy Katriel (Haifa) MSC: 35B32 58J05 58E09 35B25 35J60 PDF BibTeX XML Cite \textit{Y. Miyamoto}, J. Anal. Math. 121, 353--381 (2013; Zbl 1288.35054) Full Text: DOI
Liu, Ping; Shi, Junping; Wang, Yuwen Bifurcation from a degenerate simple eigenvalue. (English) Zbl 1282.35043 J. Funct. Anal. 264, No. 10, 2269-2299 (2013). MSC: 35B32 58E07 58E09 PDF BibTeX XML Cite \textit{P. Liu} et al., J. Funct. Anal. 264, No. 10, 2269--2299 (2013; Zbl 1282.35043) Full Text: DOI
Somberg, P. Finite reflection groups and the Dunkl-Laplace differential-difference operators in conformal geometry. (English) Zbl 1281.51009 Differ. Geom. Appl. 31, No. 2, 166-174 (2013). MSC: 51F15 53A30 20F55 58E09 PDF BibTeX XML Cite \textit{P. Somberg}, Differ. Geom. Appl. 31, No. 2, 166--174 (2013; Zbl 1281.51009) Full Text: DOI arXiv
Shi, Hongting; Zhang, Yi; Zhang, Xiaosheng; Wang, Fang; Zhang, Wenmin Note of a theorem in singularity theory. (English) Zbl 1281.47038 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 20, No. 5, 629-639 (2013). Reviewer: Jesús Hernández (Madrid) MSC: 47J15 57R45 58E07 58E09 PDF BibTeX XML Cite \textit{H. Shi} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 20, No. 5, 629--639 (2013; Zbl 1281.47038) Full Text: Link
Lewis, Debra Relative critical points. (English) Zbl 1277.37086 SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 038, 28 p. (2013). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37J15 53D20 58E09 70H33 PDF BibTeX XML Cite \textit{D. Lewis}, SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 038, 28 p. (2013; Zbl 1277.37086) Full Text: DOI arXiv
Gołȩbiewska, Anna; Rybicki, Sławomir Equivariant Conley index versus degree for equivariant gradient maps. (English) Zbl 1353.37103 Discrete Contin. Dyn. Syst., Ser. S 6, No. 4, 985-997 (2013). Reviewer: Ricardo Miranda Martins (Campinas) MSC: 37G40 58E09 PDF BibTeX XML Cite \textit{A. Gołȩbiewska} and \textit{S. Rybicki}, Discrete Contin. Dyn. Syst., Ser. S 6, No. 4, 985--997 (2013; Zbl 1353.37103) Full Text: DOI
Jasim, M. D.; Karpova, A. P.; Kostin, D. V. Branching and optimization of cycles bifurcation in the presence of multiple resonances. (Russian. English summary) Zbl 1342.47077 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2012, No. 1, 99-109 (2012). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 47J15 37G15 34C23 58E09 PDF BibTeX XML Cite \textit{M. D. Jasim} et al., Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2012, No. 1, 99--109 (2012; Zbl 1342.47077) Full Text: Link
Loginov, B. V.; Konopleva, I. V.; Mironova, L. V. Dynamic bifurcation problems with E. Schmidt spectrum in the linearization under group symmetry condition. (Russian. English summary) Zbl 1299.37047 Zh. Sredn. Mat. Obshch. 14, No. 1, 25-35 (2012). Reviewer: Tatiana Mamedova (Saransk) MSC: 37G15 37G40 58E09 PDF BibTeX XML Cite \textit{B. V. Loginov} et al., Zh. Sredn. Mat. Obshch. 14, No. 1, 25--35 (2012; Zbl 1299.37047)
Loginov, Boris V.; Kim-Tyan, Luiza R. Branching equations in the root-subspaces and potentiality conditions for them, for Andronov-Hopf bifurcation. II. (English) Zbl 1299.37048 ROMAI J. 8, No. 2, 127-141 (2012). MSC: 37G15 58E09 PDF BibTeX XML Cite \textit{B. V. Loginov} and \textit{L. R. Kim-Tyan}, ROMAI J. 8, No. 2, 127--141 (2012; Zbl 1299.37048)
de Lima, L. L.; Piccione, P.; Zedda, M. On bifurcation of solutions of the Yamabe problem in product manifolds. (English) Zbl 1239.58005 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 29, No. 2, 261-277 (2012). MSC: 58E11 58E09 PDF BibTeX XML Cite \textit{L. L. de Lima} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 29, No. 2, 261--277 (2012; Zbl 1239.58005) Full Text: DOI arXiv
Loginov, Boris V.; Kim-Tyan, Luiza R. Branching equations potentiality conditions for Andronov-Hopf bifurcation. (English) Zbl 1313.37052 ROMAI J. 7, No. 2, 99-116 (2011). MSC: 37G15 58E09 PDF BibTeX XML Cite \textit{B. V. Loginov} and \textit{L. R. Kim-Tyan}, ROMAI J. 7, No. 2, 99--116 (2011; Zbl 1313.37052)
Loginov, B. V.; Konopleva, I. V.; Mironova, L. V. Stationary bifurcation problems with E. Schmidt spectrum in the linearization under group symmetry conditions. (Russian. English summary) Zbl 1299.37049 Zh. Sredn. Mat. Obshch. 13, No. 3, 15-30 (2011). Reviewer: Tatiana Mamedova (Saransk) MSC: 37G40 58E09 PDF BibTeX XML Cite \textit{B. V. Loginov} et al., Zh. Sredn. Mat. Obshch. 13, No. 3, 15--30 (2011; Zbl 1299.37049)
Sigrist, Rachel; Matthews, Paul Symmetric spiral patterns on spheres. (English) Zbl 1242.35146 SIAM J. Appl. Dyn. Syst. 10, No. 3, 1177-1211 (2011). MSC: 35K57 35B32 35B36 58E09 PDF BibTeX XML Cite \textit{R. Sigrist} and \textit{P. Matthews}, SIAM J. Appl. Dyn. Syst. 10, No. 3, 1177--1211 (2011; Zbl 1242.35146) Full Text: DOI
Loginov, B. V.; Konopleva, I. V.; Rousak, Yu. B. Implicit operator theorems under group symmetry conditions. (English. Russian original) Zbl 1230.47086 Dokl. Math. 84, No. 2, 607-612 (2011); translation from Dokl. Akad. Nauk 440, No. 1, 15-20 (2011). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 47J07 58E09 PDF BibTeX XML Cite \textit{B. V. Loginov} et al., Dokl. Math. 84, No. 2, 607--612 (2011; Zbl 1230.47086); translation from Dokl. Akad. Nauk 440, No. 1, 15--20 (2011) Full Text: DOI
Herald, Christopher M. Extending the \(SU(3)\) Casson invariant to rational homology 3-spheres. (English) Zbl 1260.57025 Andersen, Jørgen E. (ed.) et al., Chern-Simons gauge theory: 20 years after. Based on the workshop, Bonn, Germany, August 3–7, 2009. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-5353-5/pbk). AMS/IP Studies in Advanced Mathematics 50, 115-130 (2011). Reviewer: Stefan Friedl (Köln) MSC: 57M27 58J30 58E09 58D27 PDF BibTeX XML Cite \textit{C. M. Herald}, AMS/IP Stud. Adv. Math. 50, 115--130 (2011; Zbl 1260.57025)
Rybicki, Sławomir Global bifurcations of critical orbits via equivariant Conley index. (English) Zbl 1229.37042 Adv. Nonlinear Stud. 11, No. 4, 929-940 (2011). MSC: 37G40 58E09 PDF BibTeX XML Cite \textit{S. Rybicki}, Adv. Nonlinear Stud. 11, No. 4, 929--940 (2011; Zbl 1229.37042) Full Text: DOI
Andronov, A. N. System of Laplace equations in a half-space with a free interface, capillary-gravitational waves, bifurcation, and symmetry. (English. Russian original) Zbl 1270.35077 Differ. Equ. 47, No. 5, 758-763 (2011); translation from Differ. Uravn. 47, No. 5, 756-760 (2011). MSC: 35B35 35B32 35Q35 58E09 PDF BibTeX XML Cite \textit{A. N. Andronov}, Differ. Equ. 47, No. 5, 758--763 (2011; Zbl 1270.35077); translation from Differ. Uravn. 47, No. 5, 756--760 (2011) Full Text: DOI
Vedenyapin, Victor; Sinitsyn, Alexander; Dulov, Eugene Kinetic Boltzmann, Vlasov and related equations. (English) Zbl 1230.35004 Elsevier Insights. Amsterdam: Elsevier (ISBN 978-0-12-387779-6/hbk). xiii, 304 p. (2011). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35-02 35Q20 58E07 58E09 35Q83 35B32 35Q76 PDF BibTeX XML Cite \textit{V. Vedenyapin} et al., Kinetic Boltzmann, Vlasov and related equations. Amsterdam: Elsevier (2011; Zbl 1230.35004)
Balanov, Zalman; Krawcewicz, Wiesław; Ruan, Haibo Periodic solutions to \(O(2)\)-symmetric variational problems: \(O(2)\times S^1\)-equivariant gradient degree approach. (English) Zbl 1222.47084 Leizarowitz, Arie (ed.) et al., Nonlinear analysis and optimization II. Optimization. A conference in celebration of Alex Ioffe’s 70th and Simeon Reich’s 60th birthdays, June 18–24, 2008, Haifa, Israel. Providence, RI: American Mathematical Society (AMS); Ramat-Gan: Bar-Ilan University (ISBN 978-0-8218-4835-7/pbk). Contemporary Mathematics 514; Israel Mathematical Conference Proceedings, 45-84 (2010). Reviewer: Kungching Chang (Beijing) MSC: 47H11 55M25 47H10 47J30 58E05 58E09 58E40 35J20 PDF BibTeX XML Cite \textit{Z. Balanov} et al., Contemp. Math. 514, 45--84 (2010; Zbl 1222.47084)
Garza, Gabriel López; Rybicki, Slawomir Equivariant bifurcation index. (English) Zbl 1207.37040 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 9, 2779-2791 (2010). Reviewer: A. P. Sadovskii (Minsk) MSC: 37G40 58E09 PDF BibTeX XML Cite \textit{G. L. Garza} and \textit{S. Rybicki}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 9, 2779--2791 (2010; Zbl 1207.37040) Full Text: DOI
Furter, Jacques-Elie; Sitta, Angela Maria Nondegenerate umbilics, the path formulation and gradient bifurcation problems. (English) Zbl 1179.58006 Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 9, 2965-2977 (2009). MSC: 58E07 58E09 PDF BibTeX XML Cite \textit{J.-E. Furter} and \textit{A. M. Sitta}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 9, 2965--2977 (2009; Zbl 1179.58006) Full Text: DOI
Konopleva, Irina; Loginov, Boris; Makeev, Oleg; Rousaky, Youri Poincaré-Andronov-Hopf bifurcation with hyperbolic rotation symmetry. (English) Zbl 1393.58008 PAMM, Proc. Appl. Math. Mech. 8, 10737-10738 (2008). MSC: 58E09 37G15 37G40 PDF BibTeX XML Cite \textit{I. Konopleva} et al., PAMM, Proc. Appl. Math. Mech. 8, 10737--10738 (2008; Zbl 1393.58008) Full Text: DOI
Loginov, Boris V.; Makeev, Oleg V. On crystallization problem in statistical crystal theory with symmetries of composite lattice. (English) Zbl 1265.82009 ROMAI J. 4, No. 1, 137-148 (2008). MSC: 82D25 58E09 PDF BibTeX XML Cite \textit{B. V. Loginov} and \textit{O. V. Makeev}, ROMAI J. 4, No. 1, 137--148 (2008; Zbl 1265.82009)
Grishina, S. A.; Konopleva, I. V.; Makeev, O. V.; Rousak, Yu. B. Potential branching equation of Poincaré-Andronov-Hopf bifurcation with SO(2) symmetry. (Russian. English summary) Zbl 1179.58007 Vestn. Ul’yanovsk. Gos. Tekh. Univ., Ser. Estestv. Nauki 2008, No. 1, 40-41 (2008). MSC: 58E09 37G15 37G40 PDF BibTeX XML Cite \textit{S. A. Grishina} et al., Vestn. Ul'yanovsk. Gos. Tekh. Univ., Ser. Estestv. Nauki 2008, No. 1, 40--41 (2008; Zbl 1179.58007)
Konopleva, I. V.; Loginov, B. V.; Makeev, O. V.; Rousak, Yu. B. Symmetry of \(SO(2)\) and \(SH(2)\) in Poincaré-Andronov-Hopf bifurcation problems with potential branching equations. (English) Zbl 1164.37004 Tr. Sredn. Mat. Obshch. 10, No. 1, 106-112 (2008). Reviewer: Tatiana Mamedova (Saransk) MSC: 37B15 37B40 58E09 PDF BibTeX XML Cite \textit{I. V. Konopleva} et al., Tr. Sredn. Mat. Obshch. 10, No. 1, 106--112 (2008; Zbl 1164.37004)
Castro, Sofia B. S. D. Symmetry and bifurcation of periodic solutions in Neumann boundary value problems. (English) Zbl 1165.37019 Port. Math. (N.S.) 65, No. 3, 373-385 (2008). Reviewer: Willy Govaerts (Gent) MSC: 37G40 58E09 35B32 35K57 PDF BibTeX XML Cite \textit{S. B. S. D. Castro}, Port. Math. (N.S.) 65, No. 3, 373--385 (2008; Zbl 1165.37019) Full Text: DOI Link
Loginov, Boris V.; Makeev, Oleg V. On crystallization problem in statistical crystal theory with symmetries of composite lattices. (English) Zbl 1265.82008 ROMAI J. 3, No. 2, 213-227 (2007). MSC: 82D25 58E09 PDF BibTeX XML Cite \textit{B. V. Loginov} and \textit{O. V. Makeev}, ROMAI J. 3, No. 2, 213--227 (2007; Zbl 1265.82008)
Loginov, Boris V.; Makeev, Oleg V.; Konopleva, Irina V.; Rousak, Yuri B. Bifurcation and symmetry in differential equations non-resolved with respect to derivative. (English) Zbl 1265.34144 ROMAI J. 3, No. 1, 151-173 (2007). MSC: 34C23 58E09 47J15 PDF BibTeX XML Cite \textit{B. V. Loginov} et al., ROMAI J. 3, No. 1, 151--173 (2007; Zbl 1265.34144)
Sapronov, Yu. I.; Chemerzina, E. V. Direct parameterization of caustics of Fredholm functionals. (English. Russian original) Zbl 1151.58009 J. Math. Sci., New York 142, No. 3, 2189-2197 (2007); translation from Sovrem. Mat. Prilozh. 29, 163-171 (2005). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 58E07 58E09 47J15 PDF BibTeX XML Cite \textit{Yu. I. Sapronov} and \textit{E. V. Chemerzina}, J. Math. Sci., New York 142, No. 3, 2189--2197 (2007; Zbl 1151.58009); translation from Sovrem. Mat. Prilozh. 29, 163--171 (2005) Full Text: DOI
Andronov, A. N. Bifurcation solutions asymptotics in the case of four-dimensional degeneration of the operator in the problem of capillary-gravisy waves on the surface of a deep fluid. (Russian) Zbl 1150.76337 Tr. Sredn. Mat. Obshch. 9, No. 2, 9-14 (2007). MSC: 76B15 58E09 37G40 76M60 PDF BibTeX XML Cite \textit{A. N. Andronov}, Tr. Sredn. Mat. Obshch. 9, No. 2, 9--14 (2007; Zbl 1150.76337)
Makeev, O. V. Programming complex for construction and investigation of the general form of branching equations on allowed group symmetry. (Russian) Zbl 1150.58304 Tr. Sredn. Mat. Obshch. 9, No. 1, 194-200 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 58E07 58E09 PDF BibTeX XML Cite \textit{O. V. Makeev}, Tr. Sredn. Mat. Obshch. 9, No. 1, 194--200 (2007; Zbl 1150.58304)
Field, Michael J. Dynamics and symmetry. (English) Zbl 1146.34001 ICP Advanced Texts in Mathematics 3. Hackensack, NJ: World Scientific (ISBN 978-1-86094-828-2/hbk). xiv, 478 p. (2007). Reviewer: Lutz Recke (Berlin) MSC: 34-02 37C80 58E09 34C14 34C23 37-02 PDF BibTeX XML Cite \textit{M. J. Field}, Dynamics and symmetry. Hackensack, NJ: World Scientific (2007; Zbl 1146.34001)
Balanov, Zalman; Krawcewicz, Wieslaw; Ruan, Haibo Hopf bifurcation in a symmetric configuration of transmission lines. (English) Zbl 1119.58008 Nonlinear Anal., Real World Appl. 8, No. 4, 1144-1170 (2007). Reviewer: Marlène Frigon (Montréal) MSC: 58E09 35J20 PDF BibTeX XML Cite \textit{Z. Balanov} et al., Nonlinear Anal., Real World Appl. 8, No. 4, 1144--1170 (2007; Zbl 1119.58008) Full Text: DOI
Labouriau, Isabel S.; Pinho, Eliana M. Projected wallpaper patterns. (English) Zbl 1123.82028 Brasselet, Jean-Paul (ed.) et al., Real and complex singularities, São Carlos workshop 2004. Papers of the 8th workshop, Marseille, France, July 19–23, 2004. Basel: Birkhäuser (ISBN 3-7643-7775-5/hbk). Trends in Mathematics, 209-217 (2007). MSC: 82D25 52C20 20H15 35B10 58E09 51M20 PDF BibTeX XML Cite \textit{I. S. Labouriau} and \textit{E. M. Pinho}, in: Real and complex singularities, São Carlos workshop 2004. Papers of the 8th workshop, Marseille, France, July 19--23, 2004. Basel: Birkhäuser. 209--217 (2007; Zbl 1123.82028)
Costa, João Carlos Ferreira; Sitta, Angela Maria Path formulation for \(\mathbb Z_2\oplus\mathbb Z_2\)-equivariant bifurcation problems. (English) Zbl 1128.58020 Brasselet, Jean-Paul (ed.) et al., Real and complex singularities, São Carlos workshop 2004. Papers of the 8th workshop, Marseille, France, July 19–23, 2004. Basel: Birkhäuser (ISBN 3-7643-7775-5/hbk). Trends in Mathematics, 127-141 (2007). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 58K70 37G40 58K40 58E09 PDF BibTeX XML Cite \textit{J. C. F. Costa} and \textit{A. M. Sitta}, in: Real and complex singularities, São Carlos workshop 2004. Papers of the 8th workshop, Marseille, France, July 19--23, 2004. Basel: Birkhäuser. 127--141 (2007; Zbl 1128.58020)
Makeev, Oleg V. Survey on computer realization of the branching equation construction on allowed group symmetry and subgroup invariant solutions. (English) Zbl 1240.58007 ROMAI J. 2, No. 1, 135-148 (2006). MSC: 58E09 35A30 35B32 47J15 PDF BibTeX XML Cite \textit{O. V. Makeev}, ROMAI J. 2, No. 1, 135--148 (2006; Zbl 1240.58007)
Konoplëva, I. V.; Loginov, B. V. Application of cosymmetric identity for the construction of potential type branching equation on allowed group symmetry. (Russian. English summary) Zbl 1165.58301 Vestn. Ul’yanovsk. Gos. Tekh. Univ., Ser. Estestv. Nauki 2006, No. 3, 31-33 (2006). MSC: 58E09 PDF BibTeX XML Cite \textit{I. V. Konoplëva} and \textit{B. V. Loginov}, Vestn. Ul'yanovsk. Gos. Tekh. Univ., Ser. Estestv. Nauki 2006, No. 3, 31--33 (2006; Zbl 1165.58301)
Makeev, O. V. The subgroup structure of the group symmetry of the class \(D_3\) of rhombohedral syngony. (Russian. English summary) Zbl 1165.58303 Vestn. Ul’yanovsk. Gos. Tekh. Univ., Ser. Estestv. Nauki 2006, No. 3, 20-22 (2006). MSC: 58E09 PDF BibTeX XML Cite \textit{O. V. Makeev}, Vestn. Ul'yanovsk. Gos. Tekh. Univ., Ser. Estestv. Nauki 2006, No. 3, 20--22 (2006; Zbl 1165.58303)
Konoplëva, I. V.; Loginov, B. V.; Makeev, O. V.; Rousak, Yu. B. Andronov-Hopf bifurcation in differential equations non-resolved under derivative. (Russian. English summary) Zbl 1165.58302 Vestn. Ul’yanovsk. Gos. Tekh. Univ., Ser. Estestv. Nauki 2006, No. 3, 15-17 (2006). MSC: 58E09 PDF BibTeX XML Cite \textit{I. V. Konoplëva} et al., Vestn. Ul'yanovsk. Gos. Tekh. Univ., Ser. Estestv. Nauki 2006, No. 3, 15--17 (2006; Zbl 1165.58302)
Makeev, O. V. Bifurcation equations with symmetry of symmorphic crystallographic groups. (Russian) Zbl 1150.58305 Tr. Sredn. Mat. Obshch. 8, No. 2, 139-151 (2006). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 58E09 37G40 PDF BibTeX XML Cite \textit{O. V. Makeev}, Tr. Sredn. Mat. Obshch. 8, No. 2, 139--151 (2006; Zbl 1150.58305)
Ogawa, Toshiyuki Bifurcation analysis to Rayleigh-Bénard convection in finite box with up-down symmetry. (English) Zbl 1141.35331 Commun. Pure Appl. Anal. 5, No. 2, 383-393 (2006). MSC: 35B32 76E06 35Q35 58E09 PDF BibTeX XML Cite \textit{T. Ogawa}, Commun. Pure Appl. Anal. 5, No. 2, 383--393 (2006; Zbl 1141.35331) Full Text: DOI
Balanov, Z.; Krawcewicz, W.; Ruan, H. Applied equivariant degree. I: An axiomatic approach to primary degree. (English) Zbl 1115.58013 Discrete Contin. Dyn. Syst. 15, No. 3, 983-1016 (2006). Reviewer: O. Makeev (Ulyanovsk) MSC: 58E09 47H11 47J15 35J20 55M20 PDF BibTeX XML Cite \textit{Z. Balanov} et al., Discrete Contin. Dyn. Syst. 15, No. 3, 983--1016 (2006; Zbl 1115.58013) Full Text: DOI
Balanov, Zalman; Krawcewicz, Wiesław; Steinlein, Heinrich Applied equivariant degree. (English) Zbl 1123.47043 AIMS Series on Differential Equations and Dynamical Systems 1. Springfield, MO: American Institute of Mathematical Sciences (ISBN 978-1-60133-001-7/hbk). xxiii, 552 p. (2006). Reviewer: Radu Precup (Cluj-Napoca) MSC: 47Jxx 47H11 47J25 37C80 34B15 34C23 34C25 34K10 34K13 34K18 34G20 35A15 35J20 35K10 35K20 35K50 35K55 47H10 47J05 47J30 54H20 54H25 55M20 55M25 55M35 55Q10 55Q91 57S17 57S25 58C30 58E05 58E07 58E09 58E40 92D25 37C15 37C25 34A34 34C14 34D20 17A60 47-02 57-02 58-02 PDF BibTeX XML Cite \textit{Z. Balanov} et al., Applied equivariant degree. Springfield, MO: American Institute of Mathematical Sciences (2006; Zbl 1123.47043)
Balanov, Zalman; Farzamirad, Meymanat; Krawcewicz, Wieslaw; Ruan, Haibo Applied equivariant degree. II: Symmetric Hopf bifurcations of functional differential equations. (English) Zbl 1119.58007 Discrete Contin. Dyn. Syst. 16, No. 4, 923-960 (2006). Reviewer: O. Makeev (Ulyanovsk) MSC: 58E09 34K18 34K13 47J05 37G15 PDF BibTeX XML Cite \textit{Z. Balanov} et al., Discrete Contin. Dyn. Syst. 16, No. 4, 923--960 (2006; Zbl 1119.58007) Full Text: DOI
Parker, M. J.; Gomes, M. G. M.; Stewart, I. N. Forced symmetry-breaking of square lattice planforms. (English) Zbl 1096.37027 J. Dyn. Differ. Equations 18, No. 1, 223-255 (2006). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37G40 37C29 37N10 58E09 PDF BibTeX XML Cite \textit{M. J. Parker} et al., J. Dyn. Differ. Equations 18, No. 1, 223--255 (2006; Zbl 1096.37027) Full Text: DOI
Herald, Christopher M. Transversality for equivariant exact 1-forms and gauge theory on 3-manifolds. (English) Zbl 1091.57024 Adv. Math. 200, No. 1, 245-302 (2006). Reviewer: David Auckly (Manhattan) MSC: 57R58 58K05 58E09 57M27 PDF BibTeX XML Cite \textit{C. M. Herald}, Adv. Math. 200, No. 1, 245--302 (2006; Zbl 1091.57024) Full Text: DOI
Makeev, O. V. Andronov-Hopf bifurcation with square or hexagonal lattice symmetry. (Russian) Zbl 1150.37374 Tr. Sredn. Mat. Obshch. 7, No. 1, 215-223 (2005). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37G40 58E09 37M25 37-04 PDF BibTeX XML Cite \textit{O. V. Makeev}, Tr. Sredn. Mat. Obshch. 7, No. 1, 215--223 (2005; Zbl 1150.37374)
Loginov, B. V.; Makeev, O. V. Solutions with subgroup symmetry for singular equations in bifurcation theory. (English) Zbl 1116.58010 Lobachevskii J. Math. 20, 91-101 (2005). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 58E09 35B32 35P30 PDF BibTeX XML Cite \textit{B. V. Loginov} and \textit{O. V. Makeev}, Lobachevskii J. Math. 20, 91--101 (2005; Zbl 1116.58010) Full Text: EMIS EuDML
Borisovich, Andrei; Friedman, Avner Symmetry-breaking bifurcations for free boundary problems. (English) Zbl 1079.35012 Indiana Univ. Math. J. 54, No. 3, 927-947 (2005). MSC: 35B32 35R35 35J25 58E09 PDF BibTeX XML Cite \textit{A. Borisovich} and \textit{A. Friedman}, Indiana Univ. Math. J. 54, No. 3, 927--947 (2005; Zbl 1079.35012) Full Text: DOI
Dionne, Benoit Planar planforms with and without midplane reflection. (English) Zbl 1073.37060 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 12, No. 1, 1-22 (2005). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37G40 58E09 37C10 37C80 PDF BibTeX XML Cite \textit{B. Dionne}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 12, No. 1, 1--22 (2005; Zbl 1073.37060)
Darinskiĭ, B. M.; Sapronov, Yu. I.; Tsarev, S. L. Bifurcations of extremals of Fredholm functionals. (Russian, English) Zbl 1108.47055 Sovrem. Mat., Fundam. Napravl. 12, 3-140 (2004); translation in J. Math. Sci., New York 145, No. 6, 5311-5454 (2007). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 47J15 58E07 58E09 58K35 47J05 47N20 58B05 47-02 74Kxx PDF BibTeX XML Cite \textit{B. M. Darinskiĭ} et al., Sovrem. Mat., Fundam. Napravl. 12, 3--140 (2004; Zbl 1108.47055); translation in J. Math. Sci., New York 145, No. 6, 5311--5454 (2007) Full Text: DOI Link
Matthews, Paul C. Pattern formation on a sphere. (English) Zbl 1084.37045 Dangelmayr, Gerhard (ed.) et al., Dynamics and bifurcation of patterns in dissipative systems. Hackensack, NJ: World Scientific (ISBN 981-238-946-6/hbk). World Scientific Series on Nonlinear Science. Series B: Special Theme Issues and Proceedings 12, 102-123 (2004). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37G40 58E09 PDF BibTeX XML Cite \textit{P. C. Matthews}, World Sci. Ser. Nonlinear Sci., Ser. B., Spec. Theme Issues Proc. 12, 102--123 (2004; Zbl 1084.37045)
Karasozen, B.; Loginov, B. V. Invariant reduction of partially potential branching equations and iterative methods in the problem on a bifurcation point with a symmetry. (English. Russian original) Zbl 1072.47059 Differ. Equ. 40, No. 3, 410-419 (2004); translation from Differ. Uravn. 40, No. 3, 380-388 (2004). Reviewer: Serghey G. Suvorov (Donetsk) MSC: 47J15 58E09 58E07 PDF BibTeX XML Cite \textit{B. Karasozen} and \textit{B. V. Loginov}, Differ. Equ. 40, No. 3, 410--419 (2004; Zbl 1072.47059); translation from Differ. Uravn. 40, No. 3, 380--388 (2004) Full Text: DOI
Loginov, B. V.; Petrov, K. M. Bifurcation prolems for the equation \((\nabla,g(|\nabla f|^2)\nabla f)+\lambda f =0\). (Russian) Zbl 1064.35129 Tr. Sredn. Mat. Obshch. 6, No. 1, 61-65 (2004). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35P30 58E09 PDF BibTeX XML Cite \textit{B. V. Loginov} and \textit{K. M. Petrov}, Tr. Sredn. Mat. Obshch. 6, No. 1, 61--65 (2004; Zbl 1064.35129)
Golubitsky, M.; Pivato, M.; Stewart, I. Interior symmetry and local bifurcation in coupled cell networks. (English) Zbl 1067.37066 Dyn. Syst. 19, No. 4, 389-407 (2004). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37G40 37C80 58E09 34C15 34C28 37N99 PDF BibTeX XML Cite \textit{M. Golubitsky} et al., Dyn. Syst. 19, No. 4, 389--407 (2004; Zbl 1067.37066) Full Text: DOI
Gawrycka, Joanna; Rybicki, Sławomir Solutions of systems of elliptic differential equations on circular domains. (English) Zbl 1061.58012 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 59, No. 8, 1347-1367 (2004). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 58E09 35B32 47H11 55P91 37G40 58K30 PDF BibTeX XML Cite \textit{J. Gawrycka} and \textit{S. Rybicki}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 59, No. 8, 1347--1367 (2004; Zbl 1061.58012) Full Text: DOI
Ciocci, Maria-Cristina Generalized Lyapunov-Schmidt reduction method and normal forms for the study of bifurcations of periodic points in families of reversible diffeomorphisms. (English) Zbl 1055.37059 J. Difference Equ. Appl. 10, No. 7, 621-649 (2004). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37G40 37G10 37G05 58E09 PDF BibTeX XML Cite \textit{M.-C. Ciocci}, J. Difference Equ. Appl. 10, No. 7, 621--649 (2004; Zbl 1055.37059) Full Text: DOI
Sieber, Jan; Krauskopf, Bernd Bifurcation analysis of an inverted pendulum with delayed feedback control near a triple-zero eigenvalue singularity. (English) Zbl 1054.34121 Nonlinearity 17, No. 1, 85-103 (2004). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 34K18 37G40 58E09 34K35 70K55 70Q05 PDF BibTeX XML Cite \textit{J. Sieber} and \textit{B. Krauskopf}, Nonlinearity 17, No. 1, 85--103 (2004; Zbl 1054.34121) Full Text: DOI
Loginov, B. V. Applications of bifurcation problems with symmetry breaking. (Russian) Zbl 1099.47516 Trenogin, V.A. (ed.) et al., Nonlinear analysis and nonlinear differential equations. Moskva: FIZMATLIT (ISBN 5-9221-0301-6/hbk). 120-144 (2003). Reviewer: Ulrich Kosel (Freiberg) MSC: 47J15 35B32 58E09 82D15 PDF BibTeX XML Cite \textit{B. V. Loginov}, in: Nelineĭnyĭ analiz i nelineĭnye differentsial'nye uravneniya. Moskva: FIZMATLIT. 120--144 (2003; Zbl 1099.47516)
Loginov, B. V.; Trenogin, V. A. Group methods in branching theory. (Russian) Zbl 1098.47521 Trenogin, V.A. (ed.) et al., Nonlinear analysis and nonlinear differential equations. Moskva: FIZMATLIT (ISBN 5-9221-0301-6/hbk). 89-119 (2003). Reviewer: Ulrich Kosel (Freiberg) MSC: 47J15 35A30 35B32 37G40 58E09 PDF BibTeX XML Cite \textit{B. V. Loginov} and \textit{V. A. Trenogin}, in: Nelineĭnyĭ analiz i nelineĭnye differentsial'nye uravneniya. Moskva: FIZMATLIT. 89--119 (2003; Zbl 1098.47521)
Loginov, B. V.; Konoplëva, I. V.; Rusak, Yu. B. On the branching of solutions of nonlinear equations with potential and partially potential bifurcation equations. (Russian) Zbl 1103.47312 Funkts. Anal. 38, 42-52 (2003). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 47J05 47J15 58E09 PDF BibTeX XML Cite \textit{B. V. Loginov} et al., Funkts. Anal. 38, 42--52 (2003; Zbl 1103.47312)
Elmhirst, Toby Spatio-temporal symmetries in \(S_N\)- and \(S_N\times \mathbb Z_2\)-equivariant systems. (English) Zbl 1058.37021 Dyn. Syst. 18, No. 4, 279-293 (2003). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37C80 58E09 37G40 37C27 PDF BibTeX XML Cite \textit{T. Elmhirst}, Dyn. Syst. 18, No. 4, 279--293 (2003; Zbl 1058.37021) Full Text: DOI
Karasözen, B.; Konopleva, I.; Loginov, B. Hereditary symmetry of resolving systems for nonlinear equations with Fredholm operators. (English) Zbl 1045.58008 Agarwal, Ravi P. (ed.) et al., Nonlinear analysis and applications: To V. Lakshmikantham on his 80th birthday. Vol. 2. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1712-X/hbk). 617-644 (2003). Reviewer: Irina V. Konopleva (Ulyanovsk) MSC: 58E09 37D10 34G20 PDF BibTeX XML Cite \textit{B. Karasözen} et al., in: Nonlinear analysis and applications: To V. Lakshmikantham on his 80th birthday. Vol. 2. Dordrecht: Kluwer Academic Publishers. 617--644 (2003; Zbl 1045.58008)
Makarov, M. Yu. Branching equation for Andronov-Hopf bifurcation with symmetry of rhombic periodicity lattice. (Russian) Zbl 1067.58012 Andreev, A.S.(ed.), Basic problems of mathematics and mechanics. Ul’yanovsk: Ul’yanovskiĭ Gosudarstvennyĭ Universitet; Uch. Zap. Ul’yanovsk. Gos. Univ. 1(11), 111-119 (2002). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 58E09 PDF BibTeX XML Cite \textit{M. Yu. Makarov}, in: Фундаментальные проблемы математики и механики. Ul'yanovsk: Ul'yanovskij Gosudarstvennyj Universitet. 111--119 (2002; Zbl 1067.58012)
Sidorov, N.; Loginov, B.; Sinitsyn, A.; Falaleev, M. Lyapunov-Schmidt methods in nonlinear analysis and applications. (English) Zbl 1027.47001 Mathematics and its Applications (Dordrecht). 550. Dordrecht: Kluwer Academic Publishers. xx, 548 p. (2002). Reviewer: Lutz Recke (Berlin) MSC: 47-02 35B20 45G05 35B32 58E07 47J15 58E09 34C23 PDF BibTeX XML Cite \textit{N. Sidorov} et al., Lyapunov-Schmidt methods in nonlinear analysis and applications. Dordrecht: Kluwer Academic Publishers (2002; Zbl 1027.47001)
Rybicki, S. M. Global bifurcations of solutions of Emden-Fowler-type equation \(-\Delta u(x)=\lambda f(u(x))\) on an annulus in \({\mathbb R}^n\), \(n\geq 3\). (English) Zbl 1014.35007 J. Differ. Equations 183, No. 1, 208-223 (2002). Reviewer: Lutz Recke (Berlin) MSC: 35B32 35J65 58J70 58E09 47H11 PDF BibTeX XML Cite \textit{S. M. Rybicki}, J. Differ. Equations 183, No. 1, 208--223 (2002; Zbl 1014.35007) Full Text: DOI
Abdullin, V. R.; Sidorov, N. A. Interlaced equations in branching theory. (English. Russian original) Zbl 1063.47059 Dokl. Math. 63, No. 2, 179-181 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 377, No. 3, 295-297 (2001). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 47J15 58E09 PDF BibTeX XML Cite \textit{V. R. Abdullin} and \textit{N. A. Sidorov}, Dokl. Math. 63, No. 2, 295--297 (2001; Zbl 1063.47059); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 377, No. 3, 295--297 (2001)
Loginov, B. V. Bifurcation and symmetry in problems of capillary-gravity waves. (Russian, English) Zbl 1011.47053 Sib. Mat. Zh. 42, No. 4, 868-887 (2001); translation in Sib. Math. J. 42, No. 4, 731-747 (2001). Reviewer: V.Grebenev (Novosibirsk) MSC: 47J10 76B15 58E09 35Q35 47J15 PDF BibTeX XML Cite \textit{B. V. Loginov}, Sib. Mat. Zh. 42, No. 4, 868--887 (2001; Zbl 1011.47053); translation in Sib. Math. J. 42, No. 4, 731--747 (2001) Full Text: EuDML
Yang, Zhihui; Li, Yangcheng Finite determinacy of bifurcation problem under the action of the subgroup of \(D(\Gamma)\). (Chinese. English summary) Zbl 1010.58005 J. Nat. Sci. Hunan Norm. Univ. 24, No. 3, 11-15 (2001). MSC: 58E09 PDF BibTeX XML Cite \textit{Z. Yang} and \textit{Y. Li}, J. Nat. Sci. Hunan Norm. Univ. 24, No. 3, 11--15 (2001; Zbl 1010.58005)
Bressloff, Paul C.; Cowan, Jack D.; Golubitsky, Martin; Thomas, Peter J. Scalar and pseudoscalar bifurcations motivated by pattern formation on the visual cortex. (English) Zbl 1017.37025 Nonlinearity 14, No. 4, 739-775 (2001). Reviewer: Jens Rademacher (Minneapolis) MSC: 37G40 37N25 58E09 92C20 PDF BibTeX XML Cite \textit{P. C. Bressloff} et al., Nonlinearity 14, No. 4, 739--775 (2001; Zbl 1017.37025) Full Text: DOI
Sakaguchi, Hidetsugu; Malomed, Boris A. Instabilities and splitting of pulses in coupled Ginzburg-Landau equations. (English) Zbl 0977.35021 Physica D 154, No. 3-4, 229-239 (2001). Reviewer: Vicenţiu D.Rădulescu (Craiova) MSC: 35B32 35K55 35Q53 58E09 81T13 PDF BibTeX XML Cite \textit{H. Sakaguchi} and \textit{B. A. Malomed}, Physica D 154, No. 3--4, 229--239 (2001; Zbl 0977.35021) Full Text: DOI
Krawcewicz, Wieslaw; Vivi, Paola Equivariant degree and normal bifurcations. (English) Zbl 1038.37508 Indian J. Math. 42, No. 1, 55-67 (2000). MSC: 37G40 58E09 55M25 PDF BibTeX XML Cite \textit{W. Krawcewicz} and \textit{P. Vivi}, Indian J. Math. 42, No. 1, 55--67 (2000; Zbl 1038.37508)