Serrano, Alfredo Blanco; Allen-Perkins, Alfonso; Andrade, Roberto Fernandes Silva Efficient approach to time-dependent super-diffusive Lévy random walks on finite 2D-tori using circulant analogues. (English) Zbl 07485971 Physica A 592, Article ID 126833, 12 p. (2022). MSC: 82-XX PDFBibTeX XMLCite \textit{A. B. Serrano} et al., Physica A 592, Article ID 126833, 12 p. (2022; Zbl 07485971) Full Text: DOI
Du, Jianxing; Su, Xifeng On the existence of solutions for the Frenkel-Kontorova models on quasi-crystals. (English) Zbl 1479.82013 Electron. Res. Arch. 29, No. 6, 4177-4198 (2021). MSC: 82B20 70K43 52C23 37A60 82D25 PDFBibTeX XMLCite \textit{J. Du} and \textit{X. Su}, Electron. Res. Arch. 29, No. 6, 4177--4198 (2021; Zbl 1479.82013) Full Text: DOI arXiv
Ollé, Mercè; Pacha, Juan Ramon Hopf bifurcation for the hydrogen atom in a circularly polarized microwave field. (English) Zbl 1470.82038 Commun. Nonlinear Sci. Numer. Simul. 62, 27-60 (2018). MSC: 82D40 34C23 PDFBibTeX XMLCite \textit{M. Ollé} and \textit{J. R. Pacha}, Commun. Nonlinear Sci. Numer. Simul. 62, 27--60 (2018; Zbl 1470.82038) Full Text: DOI Link
Žnidarič, Marko; Ljubotina, Marko Interaction instability of localization in quasiperiodic systems. (English) Zbl 1416.81220 Proc. Natl. Acad. Sci. USA 115, No. 18, 4595-4600 (2018). MSC: 81V19 70K43 82C22 PDFBibTeX XMLCite \textit{M. Žnidarič} and \textit{M. Ljubotina}, Proc. Natl. Acad. Sci. USA 115, No. 18, 4595--4600 (2018; Zbl 1416.81220) Full Text: DOI arXiv
Butler, Leo T. Nosé-thermostated mechanical systems on the \(n\)-torus. (English) Zbl 1384.37075 Arch. Ration. Mech. Anal. 227, No. 2, 855-867 (2018). Reviewer: Giuseppe Gaeta (Milano) MSC: 37J40 70K43 82B05 PDFBibTeX XMLCite \textit{L. T. Butler}, Arch. Ration. Mech. Anal. 227, No. 2, 855--867 (2018; Zbl 1384.37075) Full Text: DOI arXiv
Ren, Xiaofeng; Wei, Juncheng Double tori solution to an equation of mean curvature and Newtonian potential. (English) Zbl 1286.35276 Calc. Var. Partial Differ. Equ. 49, No. 3-4, 987-1018 (2014). MSC: 35R35 82B24 82D60 PDFBibTeX XMLCite \textit{X. Ren} and \textit{J. Wei}, Calc. Var. Partial Differ. Equ. 49, No. 3--4, 987--1018 (2014; Zbl 1286.35276) Full Text: DOI
Blass, Timothy; de la Llave, Rafael The analyticity breakdown for Frenkel-Kontorova models in quasi-periodic media: numerical explorations. (English) Zbl 1266.82014 J. Stat. Phys. 150, No. 6, 1183-1200 (2013). MSC: 82B20 70K43 82-08 PDFBibTeX XMLCite \textit{T. Blass} and \textit{R. de la Llave}, J. Stat. Phys. 150, No. 6, 1183--1200 (2013; Zbl 1266.82014) Full Text: DOI arXiv
Su, Xifeng; Wang, Lin Total destruction of invariant tori for the generalized Frenkel-Kontorova model. (English) Zbl 1274.82064 J. Math. Phys. 53, No. 2, 022702, 7 p. (2012). MSC: 82D20 82D25 82D30 70K43 PDFBibTeX XMLCite \textit{X. Su} and \textit{L. Wang}, J. Math. Phys. 53, No. 2, 022702, 7 p. (2012; Zbl 1274.82064) Full Text: DOI arXiv
Su, Xifeng; de la Llave, Rafael KAM theory for quasi-periodic equilibria in 1D quasi-periodic media. II: Long-range interactions. (English) Zbl 1339.70041 J. Phys. A, Math. Theor. 45, No. 45, Article ID 455203, 24 p. (2012). MSC: 70K43 52C23 37J40 82B20 PDFBibTeX XMLCite \textit{X. Su} and \textit{R. de la Llave}, J. Phys. A, Math. Theor. 45, No. 45, Article ID 455203, 24 p. (2012; Zbl 1339.70041) Full Text: DOI arXiv
Su, Xifeng; de la Llave, Rafael KAM theory for quasi-periodic equilibria in one-dimensional quasi-periodic media. (English) Zbl 1329.70046 SIAM J. Math. Anal. 44, No. 6, 3901-3927 (2012). MSC: 70K43 37J40 52C23 82B20 PDFBibTeX XMLCite \textit{X. Su} and \textit{R. de la Llave}, SIAM J. Math. Anal. 44, No. 6, 3901--3927 (2012; Zbl 1329.70046) Full Text: DOI
Leonel, Edson D.; Da Costa, Diogo R.; Dettmann, Carl P. Scaling invariance for the escape of particles from a periodically corrugated waveguide. (English) Zbl 1255.78024 Phys. Lett., A 376, No. 4, 421-425 (2012). MSC: 78A50 81Q35 81Q50 82D77 82C70 70K43 PDFBibTeX XMLCite \textit{E. D. Leonel} et al., Phys. Lett., A 376, No. 4, 421--425 (2012; Zbl 1255.78024) Full Text: DOI
Marcolli, Matilde Noncommutative geometry and arithmetic. (English) Zbl 1234.46056 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-33-5/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 2057-2077 (2011). Reviewer: Igor V. Nikolaev (Ottawa) MSC: 46L85 11M55 58B34 82C10 14A22 PDFBibTeX XMLCite \textit{M. Marcolli}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 2057--2077 (2011; Zbl 1234.46056) Full Text: arXiv Link
Martins, C. G. L.; de Carvalho, R. Egydio; Caldas, I. L.; Roberto, M. Labyrinthic standard non-twist map. (English) Zbl 1208.82060 J. Phys. A, Math. Theor. 44, No. 4, Article ID 045102, 9 p. (2011). MSC: 82D10 37D45 37E40 37E45 PDFBibTeX XMLCite \textit{C. G. L. Martins} et al., J. Phys. A, Math. Theor. 44, No. 4, Article ID 045102, 9 p. (2011; Zbl 1208.82060) Full Text: DOI
Marotta, Vincenzo; Naddeo, Adele Paired quantum Hall states on noncommutative two-tori. (English) Zbl 1204.81093 Nucl. Phys., B 834, No. 3, 502-522 (2010). MSC: 81R40 81R25 81T80 81V70 82D15 PDFBibTeX XMLCite \textit{V. Marotta} and \textit{A. Naddeo}, Nucl. Phys., B 834, No. 3, 502--522 (2010; Zbl 1204.81093) Full Text: DOI arXiv
Gentile, Guido Quasiperiodic motions in dynamical systems: review of a renormalization group approach. (English) Zbl 1417.37213 J. Math. Phys. 51, No. 1, 015207, 34 p. (2010). MSC: 37J40 70H08 70K43 82B28 PDFBibTeX XMLCite \textit{G. Gentile}, J. Math. Phys. 51, No. 1, 015207, 34 p. (2010; Zbl 1417.37213) Full Text: DOI arXiv
Carati, A. An averaging theorem for Hamiltonian dynamical systems in the thermodynamic limit. (English) Zbl 1136.82027 J. Stat. Phys. 128, No. 4, 1057-1077 (2007). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 82C20 34E10 82C22 PDFBibTeX XMLCite \textit{A. Carati}, J. Stat. Phys. 128, No. 4, 1057--1077 (2007; Zbl 1136.82027) Full Text: DOI Link
Planat, Michel The phase of oscillations and prime numbers: classical and quantum. (English) Zbl 1138.82330 Nyssen, Louise (ed.), Physics and number theory. Zürich: European Mathematical Society Publishing House (ISBN 3-03719-028-0/pbk). IRMA Lectures in Mathematics and Theoretical Physics 10, 1-38 (2006). MSC: 82C05 11Z05 70-02 70K05 70K43 81R30 81Q99 81P68 PDFBibTeX XMLCite \textit{M. Planat}, IRMA Lect. Math. Theor. Phys. 10, 1--38 (2006; Zbl 1138.82330)
Koval’, G. V. Asymptotics in the number of elements of a statistical ensemble for Maslov equations in quantum thermodynamics. (English. Russian original) Zbl 1052.82005 Math. Notes 73, No. 4, 590-593 (2003); translation from Mat. Zametki 73, No. 4, 631-633 (2003). MSC: 82B10 PDFBibTeX XMLCite \textit{G. V. Koval'}, Math. Notes 73, No. 4, 590--593 (2003; Zbl 1052.82005); translation from Mat. Zametki 73, No. 4, 631--633 (2003) Full Text: DOI
Abad, Juan J.; Koch, Hans; Wittwer, Peter Renormalization group analysis of Hamiltonian flows. (English) Zbl 1070.37043 Grigoryan, A. (ed.) et al., XIIIth international congress on mathematical physics. Proceedings of the ICMP 2000, Imperial College, London, Great Britain, July 17–22, 2000. Boston, MA: International Press (ISBN 1-57146-085-3). 209-216 (2001). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37J40 70H08 82B28 PDFBibTeX XMLCite \textit{J. J. Abad} et al., in: XIIIth international congress on mathematical physics. Proceedings of the ICMP 2000, Imperial College, London, Great Britain, July 17--22, 2000. Boston, MA: International Press. 209--216 (2001; Zbl 1070.37043)
Okada, T.; Nobuta, M.; Shimojo, T. A route to chaos in a conservative system of three interacting Langmuir waves. (English) Zbl 0961.76097 Chaos Solitons Fractals 11, No. 4, 581-605 (2000). MSC: 76X05 82D10 37N10 PDFBibTeX XMLCite \textit{T. Okada} et al., Chaos Solitons Fractals 11, No. 4, 581--605 (2000; Zbl 0961.76097) Full Text: DOI
Chandre, Cristel; Jauslin, Hans R. KAM – renormalization-group for Hamiltonian systems with two degrees of freedom. (English) Zbl 1017.82040 Miracle-Solé, Salvador (ed.) et al., Mathematical results in statistical mechanics. Proceedings, Marseille, France, July 27-31, 1998. Singapore: World Scientific. 411-420 (1999). MSC: 82C28 37J40 37E20 70H08 PDFBibTeX XMLCite \textit{C. Chandre} and \textit{H. R. Jauslin}, in: Mathematical results in statistical mechanics. Proceedings, Marseille, France, July 27--31, 1998. Singapore: World Scientific. 411--420 (1999; Zbl 1017.82040) Full Text: arXiv
Guilarte, Juan Mateos; Muñoz Porras, José María; de la Torre Mayado, Marina Elliptic theta functions and the fractional quantum Hall effect. (English) Zbl 0941.14010 J. Geom. Phys. 27, No. 3-4, 297-332 (1998). Reviewer: M.Schlichenmaier (MR 99k:14049) MSC: 14H42 81V70 81T40 82D10 14H81 PDFBibTeX XMLCite \textit{J. M. Guilarte} et al., J. Geom. Phys. 27, No. 3--4, 297--332 (1998; Zbl 0941.14010) Full Text: DOI
Nauenberg, Michael Appendix: Historical remarks on chaos. (English) Zbl 0877.58001 Lam, Lui (ed.), Introduction to nonlinear physics. New York, NY: Springer. 401-406 (1997). Reviewer: E.D.Belokolos (Kiev) MSC: 58-03 01A65 37N99 37G99 82C28 37J35 37K10 37D45 PDFBibTeX XMLCite \textit{M. Nauenberg}, in: Introduction to nonlinear physics. New York, NY: Springer. 401--406 (1997; Zbl 0877.58001)
Delshams, Amadeu; Gutiérrez, Pere Estimates on invariant tori near an elliptic equilibrium point of a Hamiltonian system. (English) Zbl 0861.58016 J. Differ. Equations 131, No. 2, 277-303 (1996). MSC: 37J99 82B05 PDFBibTeX XMLCite \textit{A. Delshams} and \textit{P. Gutiérrez}, J. Differ. Equations 131, No. 2, 277--303 (1996; Zbl 0861.58016) Full Text: DOI Link
Alicki, R.; Andries, J.; Fannes, M.; Tuyls, P. An algebraic approach to the Kolmogorov-Sinai entropy. (English) Zbl 0884.46039 Rev. Math. Phys. 8, No. 2, 167-184 (1996). Reviewer: Aleksandr A.Mekler (Dresden) MSC: 46L55 28D20 47A35 82B10 PDFBibTeX XMLCite \textit{R. Alicki} et al., Rev. Math. Phys. 8, No. 2, 167--184 (1996; Zbl 0884.46039) Full Text: DOI
Morbidelli, Alessandro; Froeschlé, Claude On the relationship between Lyapunov times and macroscopic instability times. (English) Zbl 0880.58010 Celest. Mech. Dyn. Astron. 63, No. 2, 227-239 (1996). MSC: 37J99 82C41 PDFBibTeX XMLCite \textit{A. Morbidelli} and \textit{C. Froeschlé}, Celest. Mech. Dyn. Astron. 63, No. 2, 227--239 (1996; Zbl 0880.58010) Full Text: DOI
Vivaldi, Franco Periodicity and transport from round-off errors. (English) Zbl 0832.58017 Exp. Math. 3, No. 4, 303-315 (1994). MSC: 37J99 82C70 PDFBibTeX XMLCite \textit{F. Vivaldi}, Exp. Math. 3, No. 4, 303--315 (1994; Zbl 0832.58017) Full Text: DOI Euclid EuDML EMIS
Golo, V. L. Numerical modeling of magnetization dynamics in superfluid helium-3. (English) Zbl 0873.76098 Int. J. Shape Model. 1, No. 2, 109-118 (1994). MSC: 76Y05 82D50 76-02 37N99 PDFBibTeX XMLCite \textit{V. L. Golo}, Int. J. Shape Model. 1, No. 2, 109--118 (1994; Zbl 0873.76098) Full Text: DOI
Bellon, M. P.; Maillard, J. M.; Viallet, C. M. Dynamical systems from quantum integrability. (English) Zbl 0804.58044 Int. J. Mod. Phys. B 7, No. 20-21, 3567-3596 (1993). MSC: 37K35 14E05 82C20 14J50 16W30 PDFBibTeX XMLCite \textit{M. P. Bellon} et al., Int. J. Mod. Phys. B 7, No. 20--21, 3567--3596 (1993; Zbl 0804.58044) Full Text: DOI
de la Llave, R. A renormalization group explanation of numerical observations of analyticity domains. (English) Zbl 0892.58072 J. Stat. Phys. 66, No. 5-6, 1631-1634 (1992). MSC: 37N99 82B28 PDFBibTeX XMLCite \textit{R. de la Llave}, J. Stat. Phys. 66, No. 5--6, 1631--1634 (1992; Zbl 0892.58072) Full Text: DOI
Kosygin, D. V. Multidimensional KAM theory from the renormalization group viewpoint. (English) Zbl 0731.58062 Dynamical systems and statistical mechanics, Pap. Semin. Stat. Phys., Moscow/USSR, Adv. Sov. Math. 3, 99-129 (1991). Reviewer: C.S.Sharma (London) MSC: 37-XX 82B28 PDFBibTeX XML
Jänich, Klaus Topological properties of ordinary nematics in 3-space. (English) Zbl 0652.57017 Acta Appl. Math. 8, 65-74 (1987). Reviewer: Y.Shikata MSC: 57R25 55S40 82B99 57M10 57M25 PDFBibTeX XMLCite \textit{K. Jänich}, Acta Appl. Math. 8, 65--74 (1987; Zbl 0652.57017) Full Text: DOI
Fröhlich, Jürg; Spencer, Thomas; Wayne, C. Eugene An invariant torus for nearly integrable Hamiltonian systems with infinitely many degrees of freedom. (English) Zbl 0618.58019 Stochastic processes in classical and quantum systems, Proc. 1st Int. Conf., Ascona/Switz. 1985, Lect. Notes Phys. 262, 254-268 (1986). Reviewer: N.Jacob MSC: 37J99 37J35 37K10 82D25 PDFBibTeX XML
Berk, H. L.; Freidberg, J. P.; Llobet, X.; Morrison, P. J.; Tataronis, J. A. Existence and calculation of sharp boundary magnetohydrodynamic equilibrium in three-dimensional toroidal geometry. (English) Zbl 0602.76118 Phys. Fluids 29, 3281-3290 (1986). MSC: 76X05 70H20 82D10 76M99 PDFBibTeX XMLCite \textit{H. L. Berk} et al., Phys. Fluids 29, 3281--3290 (1986; Zbl 0602.76118) Full Text: DOI Link
Mackay, R. S.; Meiss, J. D.; Percival, I. C. Transport in Hamiltonian systems. (English) Zbl 0585.58039 Physica D 13, 55-81 (1984). Reviewer: W.V.Oliva MSC: 37J40 82C70 PDFBibTeX XMLCite \textit{R. S. Mackay} et al., Physica D 13, 55--81 (1984; Zbl 0585.58039) Full Text: DOI