Tao, Molei Simply improved averaging for coupled oscillators and weakly nonlinear waves. (English) Zbl 1466.70025 Commun. Nonlinear Sci. Numer. Simul. 71, 1-21 (2019). MSC: 70K65 34C15 34C29 PDFBibTeX XMLCite \textit{M. Tao}, Commun. Nonlinear Sci. Numer. Simul. 71, 1--21 (2019; Zbl 1466.70025) Full Text: DOI arXiv
Berchio, Elvise; Buoso, Davide; Gazzola, Filippo On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate. (English) Zbl 1400.35092 ESAIM, Control Optim. Calc. Var. 24, No. 1, 63-87 (2018). MSC: 35J40 31A30 35P15 74K20 PDFBibTeX XMLCite \textit{E. Berchio} et al., ESAIM, Control Optim. Calc. Var. 24, No. 1, 63--87 (2018; Zbl 1400.35092) Full Text: DOI arXiv
Gasparetto, Carlo; Gazzola, Filippo Resonance tongues for the Hill equation with Duffing coefficients and instabilities in a nonlinear beam equation. (English) Zbl 1382.34061 Commun. Contemp. Math. 20, No. 1, Article ID 1750022, 22 p. (2018). Reviewer: Alexander O. Ignatyev (Donetsk) MSC: 34D20 34B30 34C15 PDFBibTeX XMLCite \textit{C. Gasparetto} and \textit{F. Gazzola}, Commun. Contemp. Math. 20, No. 1, Article ID 1750022, 22 p. (2018; Zbl 1382.34061) Full Text: DOI arXiv
Battisti, Ubertino; Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo Energy transfer between modes in a nonlinear beam equation. (English. French summary) Zbl 1404.35277 J. Math. Pures Appl. (9) 108, No. 6, 885-917 (2017). MSC: 35L35 34D20 35A15 74B20 74K10 35B10 35R09 35B35 PDFBibTeX XMLCite \textit{U. Battisti} et al., J. Math. Pures Appl. (9) 108, No. 6, 885--917 (2017; Zbl 1404.35277) Full Text: DOI arXiv
Gozzi, Maroua; Khelifi, Abdessatar On the behavior of resonant frequencies in the presence of small anisotropic imperfections. (English) Zbl 1432.35073 Indag. Math., New Ser. 28, No. 6, 1240-1257 (2017). MSC: 35J25 35B25 35C20 35P25 35Q35 35Q61 PDFBibTeX XMLCite \textit{M. Gozzi} and \textit{A. Khelifi}, Indag. Math., New Ser. 28, No. 6, 1240--1257 (2017; Zbl 1432.35073) Full Text: DOI
Levi, Mark Schrödinger’s equation and “bike tracks” – a connection. (English) Zbl 1376.34017 J. Geom. Phys. 115, 124-130 (2017). Reviewer: Ronald L. Huston (Cincinnati) MSC: 34A34 70E55 70B10 PDFBibTeX XMLCite \textit{M. Levi}, J. Geom. Phys. 115, 124--130 (2017; Zbl 1376.34017) Full Text: DOI arXiv
Ceccaroni, Marta; Celletti, Alessandra; Pucacco, Giuseppe Halo orbits around the collinear points of the restricted three-body problem. (English) Zbl 1364.70022 Physica D 317, 28-42 (2016). MSC: 70F07 70H05 70K50 37J20 PDFBibTeX XMLCite \textit{M. Ceccaroni} et al., Physica D 317, 28--42 (2016; Zbl 1364.70022) Full Text: DOI arXiv
Hoveijn, Igor Stability pockets of a periodically forced oscillator in a model for seasonality. (English) Zbl 1382.37019 Indag. Math., New Ser. 27, No. 5, 1204-1218 (2016). MSC: 37C10 70K05 70K40 37C50 34B30 PDFBibTeX XMLCite \textit{I. Hoveijn}, Indag. Math., New Ser. 27, No. 5, 1204--1218 (2016; Zbl 1382.37019) Full Text: DOI arXiv
Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo Structural instability of nonlinear plates modelling suspension bridges: mathematical answers to some long-standing questions. (English) Zbl 1329.74166 Nonlinear Anal., Real World Appl. 28, 91-125 (2016). MSC: 74K20 35Q74 PDFBibTeX XMLCite \textit{E. Berchio} et al., Nonlinear Anal., Real World Appl. 28, 91--125 (2016; Zbl 1329.74166) Full Text: DOI arXiv
Broer, Henk W.; Vegter, Gert Resonance and singularities. (English) Zbl 1348.37070 Ibáñez, Santiago (ed.) et al., Progress and challenges in dynamical systems. Proceedings of the international conference “Dynamical systems: 100 years after Poincaré”, Gijón, Spain, September 3–7, 2012. Berlin: Springer (ISBN 978-3-642-38829-3/hbk; 978-3-642-40137-4/ebook). Springer Proceedings in Mathematics & Statistics 54, 89-126 (2013). MSC: 37E30 37E10 37C10 34F15 70K28 70K30 34C10 34C28 34C23 PDFBibTeX XMLCite \textit{H. W. Broer} and \textit{G. Vegter}, Springer Proc. Math. Stat. 54, 89--126 (2013; Zbl 1348.37070) Full Text: DOI
Broer, Henk W. Resonance and fractal geometry. (English) Zbl 1356.70028 Acta Appl. Math. 120, No. 1, 61-86 (2012). MSC: 70K30 28A80 70K42 70K50 34C15 34C23 37N05 PDFBibTeX XMLCite \textit{H. W. Broer}, Acta Appl. Math. 120, No. 1, 61--86 (2012; Zbl 1356.70028) Full Text: DOI
Puig, Joaquim; Simó, Carles Resonance tongues and spectral gaps in quasi-periodic Schrödinger operators with one or more frequencies. A numerical exploration. (English) Zbl 1237.37023 J. Dyn. Differ. Equations 23, No. 3, 649-669 (2011). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 37B55 35J10 37M25 PDFBibTeX XMLCite \textit{J. Puig} and \textit{C. Simó}, J. Dyn. Differ. Equations 23, No. 3, 649--669 (2011; Zbl 1237.37023) Full Text: DOI Link
Misiurewicz, Michał; Rodrigues, Ana Non-generic cusps. (English) Zbl 1226.37031 Trans. Am. Math. Soc. 363, No. 7, 3553-3572 (2011). Reviewer: Valery A. Gaiko (Groningen) MSC: 37G15 37E99 PDFBibTeX XMLCite \textit{M. Misiurewicz} and \textit{A. Rodrigues}, Trans. Am. Math. Soc. 363, No. 7, 3553--3572 (2011; Zbl 1226.37031) Full Text: DOI
Puig, Joaquim; Simó, Carles Resonance tongues in the quasi-periodic Hill-Schrödinger equation with three frequencies. (English) Zbl 1232.37012 Regul. Chaotic Dyn. 16, No. 1-2, 61-78 (2011). Reviewer: Antonio Linero Bas (Murcia) MSC: 37B55 35J10 34B30 65L99 PDFBibTeX XMLCite \textit{J. Puig} and \textit{C. Simó}, Regul. Chaotic Dyn. 16, No. 1--2, 61--78 (2011; Zbl 1232.37012) Full Text: DOI
Liu, Weishi; Van Vleck, Erik S. Exponential dichotomy for asymptotically hyperbolic two-dimensional linear systems. (English) Zbl 1226.34048 J. Dyn. Differ. Equations 22, No. 4, 697-722 (2010). Reviewer: Thomas Hagen (Memphis) MSC: 34D09 34D10 PDFBibTeX XMLCite \textit{W. Liu} and \textit{E. S. Van Vleck}, J. Dyn. Differ. Equations 22, No. 4, 697--722 (2010; Zbl 1226.34048) Full Text: DOI
Martínez, R.; Simó, C. Non-integrability of Hamiltonian systems through high order variational equations: summary of results and examples. (English) Zbl 1229.37058 Regul. Chaotic Dyn. 14, No. 3, 323-348 (2009). MSC: 37J30 70H07 34M35 PDFBibTeX XMLCite \textit{R. Martínez} and \textit{C. Simó}, Regul. Chaotic Dyn. 14, No. 3, 323--348 (2009; Zbl 1229.37058) Full Text: DOI
Luque, Alejandro; Villanueva, Jordi Numerical computation of rotation numbers of quasi-periodic planar curves. (English) Zbl 1190.37048 Physica D 238, No. 20, 2025-2044 (2009). Reviewer: Zaihong Wang (Beijing) MSC: 37E45 37C05 37M05 PDFBibTeX XMLCite \textit{A. Luque} and \textit{J. Villanueva}, Physica D 238, No. 20, 2025--2044 (2009; Zbl 1190.37048) Full Text: DOI
Núñez, Daniel; Torres, Pedro J. On the motion of an oscillator with a periodically time-varying mass. (English) Zbl 1163.34354 Nonlinear Anal., Real World Appl. 10, No. 4, 1976-1983 (2009). MSC: 34C25 PDFBibTeX XMLCite \textit{D. Núñez} and \textit{P. J. Torres}, Nonlinear Anal., Real World Appl. 10, No. 4, 1976--1983 (2009; Zbl 1163.34354) Full Text: DOI
Martínez, Regina; Samà, Anna Asymptotic behaviour of the stability parameter for a family of singular-limit Hill’s equation. (English) Zbl 1165.34031 J. Differ. Equations 245, No. 12, 3869-3897 (2008). Reviewer: Alois Steindl (Wien) MSC: 34D20 34A30 34C37 70F07 70J25 PDFBibTeX XMLCite \textit{R. Martínez} and \textit{A. Samà}, J. Differ. Equations 245, No. 12, 3869--3897 (2008; Zbl 1165.34031) Full Text: DOI
Luque, Alejandro; Villanueva, Jordi Computation of derivatives of the rotation number for parametric families of circle diffeomorphisms. (English) Zbl 1158.37017 Physica D 237, No. 20, 2599-2615 (2008). Reviewer: E. Ahmed (Mansoura) MSC: 37E10 37E45 37E40 37E30 PDFBibTeX XMLCite \textit{A. Luque} and \textit{J. Villanueva}, Physica D 237, No. 20, 2599--2615 (2008; Zbl 1158.37017) Full Text: DOI
Gentile, Guido; Bartuccelli, Michele V.; Deane, Jonathan H. B. Bifurcation curves of subharmonic solutions and Melnikov theory under degeneracies. (English) Zbl 1202.34078 Rev. Math. Phys. 19, No. 3, 307-348 (2007). MSC: 34C23 37G15 37G25 34C25 34C37 34D10 PDFBibTeX XMLCite \textit{G. Gentile} et al., Rev. Math. Phys. 19, No. 3, 307--348 (2007; Zbl 1202.34078) Full Text: DOI arXiv
Martínez, Regina; Samà, Anna; Simó, Carles Stability diagram for 4D linear periodic systems with applications to homographic solutions. (English) Zbl 1108.34032 J. Differ. Equations 226, No. 2, 619-651 (2006). Reviewer: Alois Steindl (Wien) MSC: 34C20 34C25 34D05 37G05 37J25 37J40 PDFBibTeX XMLCite \textit{R. Martínez} et al., J. Differ. Equations 226, No. 2, 619--651 (2006; Zbl 1108.34032) Full Text: DOI
Broer, H. W.; Hoveijn, I.; van Noort, M.; Simó, C.; Vegter, G. The parametrically forced pendulum: A case study in \(1\frac12\) degree of freedom. (English) Zbl 1061.37039 J. Dyn. Differ. Equations 16, No. 4, 897-947 (2004). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J20 37J40 37M20 70H08 PDFBibTeX XMLCite \textit{H. W. Broer} et al., J. Dyn. Differ. Equations 16, No. 4, 897--947 (2004; Zbl 1061.37039) Full Text: DOI
Broer, Henk; Puig, Joaquim; Simó, Carles Resonance tongues and instability pockets in the quasi-periodic Hill-Schrödinger equation. (English) Zbl 1098.37014 Commun. Math. Phys. 241, No. 2-3, 467-503 (2003). MSC: 37B55 34B30 34C20 34C28 34C29 37E45 PDFBibTeX XMLCite \textit{H. Broer} et al., Commun. Math. Phys. 241, No. 2--3, 467--503 (2003; Zbl 1098.37014) Full Text: DOI
Broer, Henk; Simó, Carles Hill’s equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena. (English) Zbl 0917.34019 Bol. Soc. Bras. Mat., Nova Sér. 29, No. 2, 253-293 (1998). MSC: 34B30 34C29 34C23 34C27 PDFBibTeX XMLCite \textit{H. Broer} and \textit{C. Simó}, Bol. Soc. Bras. Mat., Nova Sér. 29, No. 2, 253--293 (1998; Zbl 0917.34019) Full Text: DOI