Iwai, Toshihiro; Zhilinskii, Boris Bulk-edge correspondence for the Dirac oscillator on the two-torus as a magnetic unit cell. (English) Zbl 1447.35283 J. Geom. Phys. 156, Article ID 103784, 18 p. (2020). MSC: 35Q41 53C80 81Q70 81V55 81V80 PDF BibTeX XML Cite \textit{T. Iwai} and \textit{B. Zhilinskii}, J. Geom. Phys. 156, Article ID 103784, 18 p. (2020; Zbl 1447.35283) Full Text: DOI OpenURL
Bjerklöv, Kristian On some generalizations of skew-shifts on \(\mathbb{T}^{2}\). (English) Zbl 1426.37038 Ergodic Theory Dyn. Syst. 39, No. 1, 19-61 (2019). Reviewer: Fernanda Botelho (Memphis) MSC: 37E30 37E10 PDF BibTeX XML Cite \textit{K. Bjerklöv}, Ergodic Theory Dyn. Syst. 39, No. 1, 19--61 (2019; Zbl 1426.37038) Full Text: DOI arXiv OpenURL
Matheus, Carlos; Moreira, Carlos Gustavo; Palis, Jacob Non-uniformly hyperbolic horseshoes in the standard family. (Fers à cheval hyperboliques non uniformes dans la famille standard.) (English. French summary) Zbl 1386.37041 C. R., Math., Acad. Sci. Paris 356, No. 2, 146-149 (2018). MSC: 37E30 37C05 37D25 37A05 PDF BibTeX XML Cite \textit{C. Matheus} et al., C. R., Math., Acad. Sci. Paris 356, No. 2, 146--149 (2018; Zbl 1386.37041) Full Text: DOI arXiv OpenURL
Fathi, Ali; Ghorbanpour, Asghar; Khalkhali, Masoud Curvature of the determinant line bundle for the noncommutative two torus. (English) Zbl 1413.46063 Math. Phys. Anal. Geom. 20, No. 2, Paper No. 4, 20 p. (2017). MSC: 46L87 58B34 PDF BibTeX XML Cite \textit{A. Fathi} et al., Math. Phys. Anal. Geom. 20, No. 2, Paper No. 4, 20 p. (2017; Zbl 1413.46063) Full Text: DOI arXiv OpenURL
Schurov, Ilya; Solodovnikov, Nikita Duck factory on the two-torus: multiple canard cycles without geometric constraints. (English) Zbl 1382.34063 J. Dyn. Control Syst. 23, No. 3, 481-498 (2017). Reviewer: Vladimir Sobolev (Samara) MSC: 34E17 34K19 34C40 34E15 37E45 PDF BibTeX XML Cite \textit{I. Schurov} and \textit{N. Solodovnikov}, J. Dyn. Control Syst. 23, No. 3, 481--498 (2017; Zbl 1382.34063) Full Text: DOI arXiv OpenURL
Buchstaber, V. M.; Glutsyuk, A. A. On determinants of modified Bessel functions and entire solutions of double confluent Heun equations. (English) Zbl 1356.33004 Nonlinearity 29, No. 12, 3857-3870 (2016). MSC: 33C10 34M05 PDF BibTeX XML Cite \textit{V. M. Buchstaber} and \textit{A. A. Glutsyuk}, Nonlinearity 29, No. 12, 3857--3870 (2016; Zbl 1356.33004) Full Text: DOI arXiv OpenURL
Barbosa Gomes, José; Dias Carneiro, Mário J.; Ruggiero, Rafael O. Hopf conjecture holds for analytic, \(k\)-basic Finsler tori without conjugate points. (English) Zbl 1334.53080 Bull. Braz. Math. Soc. (N.S.) 46, No. 4, 621-644 (2015). MSC: 53C60 53B40 53D25 PDF BibTeX XML Cite \textit{J. Barbosa Gomes} et al., Bull. Braz. Math. Soc. (N.S.) 46, No. 4, 621--644 (2015; Zbl 1334.53080) Full Text: DOI OpenURL
Baues, Oliver The deformation of flat affine structures on the two-torus. (English) Zbl 1311.30018 Papadopoulos, Athanase (ed.), Handbook of Teichmüller theory. Volume IV. European Mathematical Society (EMS) (ISBN 978-3-03719-117-0/hbk). IRMA Lectures in Mathematics and Theoretical Physics 19, 461-537 (2014). MSC: 30F60 32G15 PDF BibTeX XML Cite \textit{O. Baues}, IRMA Lect. Math. Theor. Phys. 19, 461--537 (2014; Zbl 1311.30018) Full Text: arXiv OpenURL
Figueroa, Pablo Singular limits for Liouville-type equations on the flat two-torus. (English) Zbl 1287.35040 Calc. Var. Partial Differ. Equ. 49, No. 1-2, 613-647 (2014). Reviewer: Marius Ghergu (Dublin) MSC: 35J75 PDF BibTeX XML Cite \textit{P. Figueroa}, Calc. Var. Partial Differ. Equ. 49, No. 1--2, 613--647 (2014; Zbl 1287.35040) Full Text: DOI OpenURL
Sekikawa, Munehisa; Inaba, Naohiko; Tsubouchi, Takashi; Aihara, Kazuyuki Novel bifurcation structure generated in piecewise-linear three-LC resonant circuit and its Lyapunov analysis. (English) Zbl 1258.94051 Physica D 241, No. 14, 1169-1178 (2012). MSC: 94C05 37D45 37N99 PDF BibTeX XML Cite \textit{M. Sekikawa} et al., Physica D 241, No. 14, 1169--1178 (2012; Zbl 1258.94051) Full Text: DOI OpenURL
Mather, John N. Shortest curves associated to a degenerate Jacobi metric on \(\mathbb{T}^2 \). (English) Zbl 1253.49038 Liu, Chungen (ed.) et al., Progress in variational methods. Proceedings of the 2nd international conference on variational methods (ICVAM-2), Nankai University, Tianjin, China, May 18–22, 2009. Hackensack, NJ: World Scientific (ISBN 978-981-4327-83-1/hbk; 978-981-4327-84-8/ebook). Nankai Series in Pure, Applied Mathematics and Theoretical Physics 7, 126-168 (2011). MSC: 49Q20 53C20 53C22 57R19 PDF BibTeX XML Cite \textit{J. N. Mather}, Nankai Ser. Pure Appl. Math. Theor. Phys. 7, 126--168 (2011; Zbl 1253.49038) Full Text: Link OpenURL
Kocsard, Alejandro; Koropecki, Andrés A mixing-like property and inexistence of invariant foliations for minimal diffeomorphisms of the 2-torus. (English) Zbl 1179.37063 Proc. Am. Math. Soc. 137, No. 10, 3379-3386 (2009). Reviewer: Eugene Ershov (St. Petersburg) MSC: 37E30 37B05 PDF BibTeX XML Cite \textit{A. Kocsard} and \textit{A. Koropecki}, Proc. Am. Math. Soc. 137, No. 10, 3379--3386 (2009; Zbl 1179.37063) Full Text: DOI arXiv Backlinks: MO OpenURL
Broer, Henk; Simó, Carles; Vitolo, Renato The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: The Arnol’d resonance web. (English) Zbl 1154.37319 Bull. Belg. Math. Soc. - Simon Stevin 15, No. 5, 769-787 (2008). MSC: 37C05 37C25 37G10 37D45 35B34 PDF BibTeX XML Cite \textit{H. Broer} et al., Bull. Belg. Math. Soc. - Simon Stevin 15, No. 5, 769--787 (2008; Zbl 1154.37319) Full Text: Euclid OpenURL
Broer, Henk; Simó, Carles; Vitolo, Renato Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance ‘bubble’. (English) Zbl 1165.37017 Physica D 237, No. 13, 1773-1799 (2008). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 37G10 37C05 37E99 PDF BibTeX XML Cite \textit{H. Broer} et al., Physica D 237, No. 13, 1773--1799 (2008; Zbl 1165.37017) Full Text: DOI Link OpenURL
Zaslow, Eric Seidel’s mirror map for the torus. (English) Zbl 1127.14037 Adv. Theor. Math. Phys. 9, No. 6, 999-1106 (2005). Reviewer: Bernd Kreußler (Limerick) MSC: 14J32 53D40 PDF BibTeX XML Cite \textit{E. Zaslow}, Adv. Theor. Math. Phys. 9, No. 6, 999--1106 (2005; Zbl 1127.14037) Full Text: DOI arXiv OpenURL
Polterovich, Leonid; Rudnick, Zeev Stable mixing for cat maps and quasi-morphisms of the modular group. (English) Zbl 1071.37019 Ergodic Theory Dyn. Syst. 24, No. 2, 609-619 (2004). Reviewer: Ursula Hamenstädt (Bonn) MSC: 37C75 37A25 PDF BibTeX XML Cite \textit{L. Polterovich} and \textit{Z. Rudnick}, Ergodic Theory Dyn. Syst. 24, No. 2, 609--619 (2004; Zbl 1071.37019) Full Text: DOI arXiv OpenURL
Saprykina, Maria Analytic nonlinearizable uniquely ergodic diffeomorphisms on \(\mathbb T^2\). (English) Zbl 1059.37030 Ergodic Theory Dyn. Syst. 23, No. 3, 935-955 (2003). Reviewer: Eugene Ershov (St. Petersburg) MSC: 37E30 37A25 37C20 37C40 PDF BibTeX XML Cite \textit{M. Saprykina}, Ergodic Theory Dyn. Syst. 23, No. 3, 935--955 (2003; Zbl 1059.37030) Full Text: DOI OpenURL
Matsumoto, Shigenori; Nakayama, Hiromichi On the Ruelle invariants for diffeomorphisms of the two torus. (English) Zbl 1015.37034 Ergodic Theory Dyn. Syst. 22, No. 4, 1263-1267 (2002). Reviewer: Eugene Ershov (St.Peterburg) MSC: 37E30 37A35 37C05 PDF BibTeX XML Cite \textit{S. Matsumoto} and \textit{H. Nakayama}, Ergodic Theory Dyn. Syst. 22, No. 4, 1263--1267 (2002; Zbl 1015.37034) Full Text: DOI OpenURL
Wuchter, Gerald J. Polynomial hulls of subsets of \(T^2\). (English) Zbl 1031.32009 Complex Variables, Theory Appl. 47, No. 5, 393-408 (2002). Reviewer: Peter Pflug (Oldenburg) MSC: 32E20 PDF BibTeX XML Cite \textit{G. J. Wuchter}, Complex Variables, Theory Appl. 47, No. 5, 393--408 (2002; Zbl 1031.32009) Full Text: DOI OpenURL
Ghilencea, D. M.; Groot Nibbelink, S. String threshold corrections from field theory. (English) Zbl 0998.81051 Nucl. Phys., B 641, No. 1-2, 35-60 (2002). MSC: 81T13 81T30 PDF BibTeX XML Cite \textit{D. M. Ghilencea} and \textit{S. Groot Nibbelink}, Nucl. Phys., B 641, No. 1--2, 35--60 (2002; Zbl 0998.81051) Full Text: DOI arXiv OpenURL
Marques, F.; Lopez, J. M.; Shen, J. Mode interactions in an enclosed swirling flow: A double Hopf bifurcation between azimuthal wavenumbers 0 and 2. (English) Zbl 1016.76029 J. Fluid Mech. 455, 263-281 (2002). MSC: 76E07 76U05 76M25 PDF BibTeX XML Cite \textit{F. Marques} et al., J. Fluid Mech. 455, 263--281 (2002; Zbl 1016.76029) Full Text: DOI OpenURL
Kwapisz, Jaroslaw A priori degeneracy of one-dimensional rotation sets for periodic point free torus maps. (English) Zbl 1042.37033 Trans. Am. Math. Soc. 354, No. 7, 2865-2895 (2002). MSC: 37E45 37E30 PDF BibTeX XML Cite \textit{J. Kwapisz}, Trans. Am. Math. Soc. 354, No. 7, 2865--2895 (2002; Zbl 1042.37033) Full Text: DOI OpenURL
Guckenheimer, J.; Ilyashenko, Yu. The duck and the devil: Canards on the staircase. (English) Zbl 0985.34035 Mosc. Math. J. 1, No. 1, 27-47 (2001). Reviewer: Klaus R.Schneider (Berlin) MSC: 34C26 34E15 34C30 PDF BibTeX XML Cite \textit{J. Guckenheimer} and \textit{Yu. Ilyashenko}, Mosc. Math. J. 1, No. 1, 27--47 (2001; Zbl 0985.34035) OpenURL
Baues, Oliver Gluing affine 2-manifolds with polygons. (English) Zbl 0953.57010 Geom. Dedicata 75, No. 1, 33-56 (1999). Reviewer: Ser Peow Tan (Singapore) MSC: 57M50 53C20 53C05 32G15 14L30 57N05 PDF BibTeX XML Cite \textit{O. Baues}, Geom. Dedicata 75, No. 1, 33--56 (1999; Zbl 0953.57010) Full Text: DOI OpenURL
Nayfeh, Ali H.; Harb, Ahmad M.; Chin, Char-Ming; Hamdan, Anan M. A.; Mili, Lamine Application of bifurcation theory to subsynchronous resonance in power systems. (English) Zbl 0910.70014 Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 1, 157-172 (1998). MSC: 70K20 70K30 70K50 37G99 37D45 PDF BibTeX XML Cite \textit{A. H. Nayfeh} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 1, 157--172 (1998; Zbl 0910.70014) Full Text: DOI OpenURL
Le Calvez, Patrice A generalization of the Conley-Zehnder theorem to homeomorphisms of the two-dimensional torus. (Une généralisation du théorème de Conley-Zehnder aux homéomorphismes du tore de dimension deux.) (French) Zbl 0877.58011 Ergodic Theory Dyn. Syst. 17, No. 1, 71-86 (1997). Reviewer: M.Farkas (Budapest) MSC: 58C30 37J99 PDF BibTeX XML Cite \textit{P. Le Calvez}, Ergodic Theory Dyn. Syst. 17, No. 1, 71--86 (1997; Zbl 0877.58011) Full Text: DOI OpenURL
De Bièvre, S.; Degli Esposti, M.; Giachetti, R. Quantization of a class of piecewise affine transformations on the torus. (English) Zbl 0840.58019 Commun. Math. Phys. 176, No. 1, 73-94 (1996). MSC: 53D50 PDF BibTeX XML Cite \textit{S. De Bièvre} et al., Commun. Math. Phys. 176, No. 1, 73--94 (1996; Zbl 0840.58019) Full Text: DOI arXiv OpenURL
Dereli, T.; Verçin, A. Lie algebra deformation of \(\text{Diff}_ AT^ 2\) and Bloch electrons in a constant uniform magnetic field. (English) Zbl 0822.58062 J. Phys. A, Math. Gen. 26, No. 23, 6961-6971 (1993). MSC: 58Z05 81R10 81Q60 81V10 82D20 PDF BibTeX XML Cite \textit{T. Dereli} and \textit{A. Verçin}, J. Phys. A, Math. Gen. 26, No. 23, 6961--6971 (1993; Zbl 0822.58062) Full Text: DOI OpenURL
Tang, Y.-F. Geodesic flows on compact surfaces – as an application of Hamiltonian formalism. (English) Zbl 0783.58060 Comput. Math. Appl. 26, No. 1, 21-33 (1993). Reviewer: U.Hamenstädt (Bonn) MSC: 37D40 53D25 PDF BibTeX XML Cite \textit{Y. F. Tang}, Comput. Math. Appl. 26, No. 1, 21--33 (1993; Zbl 0783.58060) Full Text: DOI OpenURL
Boe, Eugene; Chang, Hsueh-Chia Transition to chaos from a two-torus in a delayed feedback system. (English) Zbl 0755.34080 Int. J. Bifurcation Chaos Appl. Sci. Eng. 1, No. 1, 67-81 (1991). MSC: 34K35 34K99 34C23 70K50 PDF BibTeX XML Cite \textit{E. Boe} and \textit{H.-C. Chang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 1, No. 1, 67--81 (1991; Zbl 0755.34080) Full Text: DOI OpenURL
Applebaum, David Unitary evolutions and horizontal lifts in quantum stochastic calculus. (English) Zbl 0734.60107 Commun. Math. Phys. 140, No. 1, 63-80 (1991). MSC: 60K40 81S25 60H10 PDF BibTeX XML Cite \textit{D. Applebaum}, Commun. Math. Phys. 140, No. 1, 63--80 (1991; Zbl 0734.60107) Full Text: DOI OpenURL
Alexander, James C.; Doedel, Eusebius J.; Othmer, Hans G. On the resonance structure in a forced excitable system. (English) Zbl 0778.92008 SIAM J. Appl. Math. 50, No. 5, 1373-1418 (1990). MSC: 92C30 37-XX 92B05 34C05 92E20 34C15 92C20 PDF BibTeX XML Cite \textit{J. C. Alexander} et al., SIAM J. Appl. Math. 50, No. 5, 1373--1418 (1990; Zbl 0778.92008) Full Text: DOI OpenURL
Bialy, M. L. Aubry-Mather sets and Birkhoff’s theorem for geodesic flows on the two- dimensional torus. (English) Zbl 0706.58051 Commun. Math. Phys. 126, No. 1, 13-24 (1989). Reviewer: R.Penner MSC: 37D40 53D25 37C10 PDF BibTeX XML Cite \textit{M. L. Bialy}, Commun. Math. Phys. 126, No. 1, 13--24 (1989; Zbl 0706.58051) Full Text: DOI OpenURL
Alexander, J. C.; Doedel, E. J.; Othmer, H. G. Resonance and phase-locking in excitable systems. (English) Zbl 0693.92005 Some mathematical questions in biology. The dynamics of excitable media, Proc. Symp., Las Vegas/NV (USA) 1988, Lect. Math. Life Sci. 21, 1-36 (1989). MSC: 92B05 34C05 92Cxx 34C25 37D45 PDF BibTeX XML OpenURL
Conlisk, A. T.; Guezennec, Y. G.; Elliott, G. S. Chaotic motion of an array of vortices above a flat wall. (English) Zbl 0667.76076 Phys. Fluids, A 1, No. 4, 704-717 (1989). MSC: 76E99 70K05 76Q05 76M99 PDF BibTeX XML Cite \textit{A. T. Conlisk} et al., Phys. Fluids, A 1, No. 4, 704--717 (1989; Zbl 0667.76076) Full Text: DOI OpenURL
Bertozzi, Andrea Louis Heteroclinic orbits and chaotic dynamics in planar fluid flows. (English) Zbl 0656.76025 SIAM J. Math. Anal. 19, No. 6, 1271-1294 (1988). MSC: 76B47 37J99 70K99 37D45 54H20 PDF BibTeX XML Cite \textit{A. L. Bertozzi}, SIAM J. Math. Anal. 19, No. 6, 1271--1294 (1988; Zbl 0656.76025) Full Text: DOI Link OpenURL
Itoh, Mitsuhiro Quaternion structure on the moduli space of Yang-Mills connections. (English) Zbl 0654.53034 Math. Ann. 276, 581-593 (1987). Reviewer: F.Gherardelli MSC: 53C05 53C20 32Q99 PDF BibTeX XML Cite \textit{M. Itoh}, Math. Ann. 276, 581--593 (1987; Zbl 0654.53034) Full Text: DOI EuDML OpenURL
Lacomba, Ernesto A.; Simó, Carles Topology of Jacobi levels with no zero velocity curves in the restricted three-body problem. (English) Zbl 0623.70009 Z. Angew. Math. Phys. 38, 10-20 (1987). Reviewer: Y.Kozai MSC: 70F07 37D99 70G10 54H20 PDF BibTeX XML Cite \textit{E. A. Lacomba} and \textit{C. Simó}, Z. Angew. Math. Phys. 38, 10--20 (1987; Zbl 0623.70009) Full Text: DOI OpenURL
Jones, C. A.; Weiss, N. O.; Cattaneo, F. Nonlinear dynamos: A complex generalization of the Lorenz equations. (English) Zbl 0579.76051 Physica D 14, No. 2-3, 161-176 (1985). MSC: 76E25 76F99 76W05 85A30 34C15 76M99 PDF BibTeX XML Cite \textit{C. A. Jones} et al., Physica D 14, No. 2--3, 161--176 (1985; Zbl 0579.76051) Full Text: DOI OpenURL