Li, Jia Effective reducibility for a class of linear almost periodic systems. (English) Zbl 07820502 Math. Notes 114, No. 6, 1314-1321 (2023). MSC: 34Cxx 37Jxx 37Cxx PDFBibTeX XMLCite \textit{J. Li}, Math. Notes 114, No. 6, 1314--1321 (2023; Zbl 07820502) Full Text: DOI
Arnaud, Marie-Claude; Massetti, Jessica Elisa; Sorrentino, Alfonso On the fragility of periodic tori for families of symplectic twist maps. (English) Zbl 1523.37066 Adv. Math. 429, Article ID 109175, 39 p. (2023). MSC: 37J40 37J70 37J12 37J11 37E40 PDFBibTeX XMLCite \textit{M.-C. Arnaud} et al., Adv. Math. 429, Article ID 109175, 39 p. (2023; Zbl 1523.37066) Full Text: DOI arXiv
Berger, Pierre; Florio, Anna; Peralta-Salas, Daniel Steady Euler flows on \({\mathbb{R}}^3\) with wild and universal dynamics. (English) Zbl 1521.37036 Commun. Math. Phys. 401, No. 1, 937-983 (2023). MSC: 37E20 37D05 37L10 35Q31 76D03 76F30 PDFBibTeX XMLCite \textit{P. Berger} et al., Commun. Math. Phys. 401, No. 1, 937--983 (2023; Zbl 1521.37036) Full Text: DOI arXiv
Andrews, George E.; Dragović, Vladimir; Radnović, Milena Combinatorics of periodic ellipsoidal billiards. (English) Zbl 1522.37040 Ramanujan J. 61, No. 1, 135-147 (2023). Reviewer: Daniel Jaud (München) MSC: 37C83 37E15 37C27 37C55 05A15 05A17 14H70 37J35 26C05 39B22 PDFBibTeX XMLCite \textit{G. E. Andrews} et al., Ramanujan J. 61, No. 1, 135--147 (2023; Zbl 1522.37040) Full Text: DOI arXiv
Dragović, Vladimir; Radnović, Milena Resonance of ellipsoidal billiard trajectories and extremal rational functions. (English) Zbl 1512.14019 Adv. Math. 424, Article ID 109044, 51 p. (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 41A10 70H06 37J35 26C05 PDFBibTeX XMLCite \textit{V. Dragović} and \textit{M. Radnović}, Adv. Math. 424, Article ID 109044, 51 p. (2023; Zbl 1512.14019) Full Text: DOI arXiv
Priyankara, K. G. D. Sulalitha; Balasuriya, Sanjeeva; Bollt, Erik M. Melnikov theory for two-dimensional manifolds in three-dimensional flows. (English) Zbl 1509.34043 SIAM J. Appl. Dyn. Syst. 21, No. 4, 2642-2696 (2022). MSC: 34C45 34C37 34C05 34A26 34E10 PDFBibTeX XMLCite \textit{K. G. D. S. Priyankara} et al., SIAM J. Appl. Dyn. Syst. 21, No. 4, 2642--2696 (2022; Zbl 1509.34043) Full Text: DOI arXiv
Hezari, Hamid; Zelditch, Steve One can hear the shape of ellipses of small eccentricity. (English) Zbl 1508.58002 Ann. Math. (2) 196, No. 3, 1083-1134 (2022). Reviewer: Luigi Provenzano (Padova) MSC: 58C40 35P99 PDFBibTeX XMLCite \textit{H. Hezari} and \textit{S. Zelditch}, Ann. Math. (2) 196, No. 3, 1083--1134 (2022; Zbl 1508.58002) Full Text: DOI arXiv
Baldomá, Inmaculada; Giralt, Mar; Guardia, Marcel Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. I: Complex singularities and the inner equation. (English) Zbl 1498.70012 Adv. Math. 408, Part A, Article ID 108562, 64 p. (2022). MSC: 70F07 70F15 PDFBibTeX XMLCite \textit{I. Baldomá} et al., Adv. Math. 408, Part A, Article ID 108562, 64 p. (2022; Zbl 1498.70012) Full Text: DOI arXiv
Bialy, Misha; Mironov, Andrey E. The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables. (English) Zbl 1505.37067 Ann. Math. (2) 196, No. 1, 389-413 (2022). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J40 37J39 37J51 37C83 PDFBibTeX XMLCite \textit{M. Bialy} and \textit{A. E. Mironov}, Ann. Math. (2) 196, No. 1, 389--413 (2022; Zbl 1505.37067) Full Text: DOI arXiv
Gimeno, Joan; Jorba, Àngel; Nicolás, Begoña; Olmedo, Estrella Numerical computation of high-order expansions of invariant manifolds of high-dimensional tori. (English) Zbl 1503.37085 SIAM J. Appl. Dyn. Syst. 21, No. 3, 1832-1861 (2022). MSC: 37M21 70K43 68W10 PDFBibTeX XMLCite \textit{J. Gimeno} et al., SIAM J. Appl. Dyn. Syst. 21, No. 3, 1832--1861 (2022; Zbl 1503.37085) Full Text: DOI
Villanueva, Jordi A new averaging-extrapolation method for quasi-periodic frequency refinement. (English) Zbl 07548989 Physica D 438, Article ID 133344, 14 p. (2022). MSC: 65-XX 78-XX PDFBibTeX XMLCite \textit{J. Villanueva}, Physica D 438, Article ID 133344, 14 p. (2022; Zbl 07548989) Full Text: DOI
Capiński, Maciej J.; Wodka-Cholewa, Natalia Computer assisted proof of drift orbits along normally hyperbolic manifolds. II: Application to the restricted three body problem. (English) Zbl 1501.37061 Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106424, 28 p. (2022). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 37J40 37J25 37C50 37M21 37B65 70F07 70F15 70H09 68V05 PDFBibTeX XMLCite \textit{M. J. Capiński} and \textit{N. Wodka-Cholewa}, Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106424, 28 p. (2022; Zbl 1501.37061) Full Text: DOI arXiv
Donato, Sidney The first \(p\)-widths of the unit disk. (English) Zbl 1492.53058 J. Geom. Anal. 32, No. 6, Paper No. 177, 38 p. (2022). Reviewer: Jialong Deng (Beijing) MSC: 53C23 PDFBibTeX XMLCite \textit{S. Donato}, J. Geom. Anal. 32, No. 6, Paper No. 177, 38 p. (2022; Zbl 1492.53058) Full Text: DOI arXiv
Hezari, Hamid; Zelditch, Steve Eigenfunction asymptotics and spectral rigidity of the ellipse. (English) Zbl 1486.35465 J. Spectr. Theory 12, No. 1, 23-52 (2022). MSC: 35R30 35J25 35P05 11F72 PDFBibTeX XMLCite \textit{H. Hezari} and \textit{S. Zelditch}, J. Spectr. Theory 12, No. 1, 23--52 (2022; Zbl 1486.35465) Full Text: DOI arXiv
Huang, Guan On the integrability of strictly convex billiard tables with boundaries close to ellipses with small eccentricities. (English) Zbl 1490.37078 Acta Math. Sin., Engl. Ser. 38, No. 1, 55-67 (2022). MSC: 37J35 37J39 37C83 37E40 PDFBibTeX XMLCite \textit{G. Huang}, Acta Math. Sin., Engl. Ser. 38, No. 1, 55--67 (2022; Zbl 1490.37078) Full Text: DOI
Kaloshin, Vadim; Sorrentino, Alfonso Inverse problems and rigidity questions in billiard dynamics. (English) Zbl 1495.37029 Ergodic Theory Dyn. Syst. 42, No. 3, 1023-1056 (2022). MSC: 37C83 37E40 37J35 37J46 37J51 37J70 58J50 PDFBibTeX XMLCite \textit{V. Kaloshin} and \textit{A. Sorrentino}, Ergodic Theory Dyn. Syst. 42, No. 3, 1023--1056 (2022; Zbl 1495.37029) Full Text: DOI
Vig, Amir Robin spectral rigidity of the ellipse. (English) Zbl 1460.35243 J. Geom. Anal. 31, No. 3, 2238-2295 (2021). MSC: 35P15 35B30 35J25 35A27 PDFBibTeX XMLCite \textit{A. Vig}, J. Geom. Anal. 31, No. 3, 2238--2295 (2021; Zbl 1460.35243) Full Text: DOI arXiv
Glutsyuk, Alexey On polynomially integrable Birkhoff billiards on surfaces of constant curvature. (English) Zbl 1466.37049 J. Eur. Math. Soc. (JEMS) 23, No. 3, 995-1049 (2021). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 37J35 37C83 37J39 53A10 14H20 PDFBibTeX XMLCite \textit{A. Glutsyuk}, J. Eur. Math. Soc. (JEMS) 23, No. 3, 995--1049 (2021; Zbl 1466.37049) Full Text: DOI arXiv
Gidea, Marian; de la Llave, Rafael; Musser, Maxwell Global effect of non-conservative perturbations on homoclinic orbits. (English) Zbl 1459.37050 Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 9, 40 p. (2021). MSC: 37J40 37J46 37C29 34C37 70H09 70K44 PDFBibTeX XMLCite \textit{M. Gidea} et al., Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 9, 40 p. (2021; Zbl 1459.37050) Full Text: DOI arXiv
Delshams, Amadeu; Gonchenko, Marina; Gutiérrez, Pere Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies. (English) Zbl 1450.37056 Commun. Math. Phys. 378, No. 3, 1931-1976 (2020); correction ibid. 401, No. 1, 1059-1060 (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J20 37J25 37J06 70H08 PDFBibTeX XMLCite \textit{A. Delshams} et al., Commun. Math. Phys. 378, No. 3, 1931--1976 (2020; Zbl 1450.37056) Full Text: DOI arXiv Link
Enciso, Alberto; Luque, Alejandro; Peralta-Salas, Daniel Beltrami fields with hyperbolic periodic orbits enclosed by knotted invariant tori. (English) Zbl 1508.37071 Adv. Math. 373, Article ID 107328, 46 p. (2020). MSC: 37J40 37J39 37K55 PDFBibTeX XMLCite \textit{A. Enciso} et al., Adv. Math. 373, Article ID 107328, 46 p. (2020; Zbl 1508.37071) Full Text: DOI arXiv
Chamberlin, Samuel; Rafizadeh, Azadeh A generalized Newton-Girard formula for monomial symmetric polynomials. (English) Zbl 1445.05110 Rocky Mt. J. Math. 50, No. 3, 941-946 (2020). MSC: 05E05 13A99 PDFBibTeX XMLCite \textit{S. Chamberlin} and \textit{A. Rafizadeh}, Rocky Mt. J. Math. 50, No. 3, 941--946 (2020; Zbl 1445.05110) Full Text: DOI arXiv Euclid
Xue, Nina; Zhao, Wencai On the reducibility of quasiperiodic linear Hamiltonian systems and its applications in Schrödinger equation. (English) Zbl 1444.37045 J. Funct. Spaces 2020, Article ID 6260253, 11 p. (2020). MSC: 37J06 34C20 34L40 PDFBibTeX XMLCite \textit{N. Xue} and \textit{W. Zhao}, J. Funct. Spaces 2020, Article ID 6260253, 11 p. (2020; Zbl 1444.37045) Full Text: DOI
Adabrah, Anani Komla; Dragović, Vladimir; Radnović, Milena Periodic billiards within conics in the Minkowski plane and Akhiezer polynomials. (English) Zbl 1436.37036 Regul. Chaotic Dyn. 24, No. 5, 464-501 (2019). MSC: 37C83 37J38 37J35 14H70 41A10 70H06 PDFBibTeX XMLCite \textit{A. K. Adabrah} et al., Regul. Chaotic Dyn. 24, No. 5, 464--501 (2019; Zbl 1436.37036) Full Text: DOI arXiv
Dragović, Vladimir; Radnović, Milena Periodic ellipsoidal billiard trajectories and extremal polynomials. (English) Zbl 1432.37056 Commun. Math. Phys. 372, No. 1, 183-211 (2019). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 37C83 37C27 33C47 PDFBibTeX XMLCite \textit{V. Dragović} and \textit{M. Radnović}, Commun. Math. Phys. 372, No. 1, 183--211 (2019; Zbl 1432.37056) Full Text: DOI arXiv
Broer, Henk W.; Hanßmann, Heinz Bifurcations in volume-preserving systems. (English) Zbl 1422.37035 Acta Appl. Math. 162, 3-32 (2019). MSC: 37J20 37J40 37C10 PDFBibTeX XMLCite \textit{H. W. Broer} and \textit{H. Hanßmann}, Acta Appl. Math. 162, 3--32 (2019; Zbl 1422.37035) Full Text: DOI
Schastnyy, V.; Treschev, D. On local integrability in billiard dynamics. (English) Zbl 1423.37053 Exp. Math. 28, No. 3, 362-368 (2019). Reviewer: Giuseppe Gaeta (Milano) MSC: 37J35 37E10 37C15 PDFBibTeX XMLCite \textit{V. Schastnyy} and \textit{D. Treschev}, Exp. Math. 28, No. 3, 362--368 (2019; Zbl 1423.37053) Full Text: DOI
Li, Jia; Zhu, Chunpeng On the effective reducibility of a class of quasi-periodic nonlinear systems near the equilibrium. (English) Zbl 1429.37015 Dyn. Syst. 34, No. 3, 385-398 (2019). Reviewer: Wolfgang G. Hollik (Karlsruhe) MSC: 37C27 37J46 37J11 70H15 70H12 PDFBibTeX XMLCite \textit{J. Li} and \textit{C. Zhu}, Dyn. Syst. 34, No. 3, 385--398 (2019; Zbl 1429.37015) Full Text: DOI
Li, Jia; Su, Youhui; Shi, Yanling Reducibility of a class of \(2k\)-dimensional Hamiltonian systems with quasi-periodic coefficients. (English) Zbl 1472.37059 Dyn. Syst. 34, No. 3, 375-384 (2019). Reviewer: Ioan Bucataru (Iaşi) MSC: 37J11 37J06 37J40 70H15 70H12 PDFBibTeX XMLCite \textit{J. Li} et al., Dyn. Syst. 34, No. 3, 375--384 (2019; Zbl 1472.37059) Full Text: DOI
Dragović, Vladimir; Radnović, Milena Caustics of Poncelet polygons and classical extremal polynomials. (English) Zbl 1432.37055 Regul. Chaotic Dyn. 24, No. 1, 1-35 (2019). MSC: 37C83 14H70 26C05 41A10 70H06 PDFBibTeX XMLCite \textit{V. Dragović} and \textit{M. Radnović}, Regul. Chaotic Dyn. 24, No. 1, 1--35 (2019; Zbl 1432.37055) Full Text: DOI arXiv
Fontich, E.; Simó, C.; Vieiro, A. Splitting of the separatrices after a Hamiltonian-Hopf bifurcation under periodic forcing. (English) Zbl 1409.37059 Nonlinearity 32, No. 4, 1440-1493 (2019). Reviewer: Stathis Antoniou (Athína) MSC: 37J20 37J40 37J45 37C29 PDFBibTeX XMLCite \textit{E. Fontich} et al., Nonlinearity 32, No. 4, 1440--1493 (2019; Zbl 1409.37059) Full Text: DOI arXiv
Rivière, Alain; Rouyer, Joël; Vîlcu, Costin; Zamfirescu, Tudor Double normals of most convex bodies. (English) Zbl 1421.52005 Adv. Math. 343, 245-272 (2019). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A20 54E52 28A78 28A80 PDFBibTeX XMLCite \textit{A. Rivière} et al., Adv. Math. 343, 245--272 (2019; Zbl 1421.52005) Full Text: DOI arXiv
Kaloshin, Vadim; Sorrentino, Alfonso On the integrability of Birkhoff billiards. (English) Zbl 1407.37085 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2131, Article ID 20170419, 16 p. (2018). MSC: 37J05 37D50 PDFBibTeX XMLCite \textit{V. Kaloshin} and \textit{A. Sorrentino}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2131, Article ID 20170419, 16 p. (2018; Zbl 1407.37085) Full Text: DOI
Bialy, Misha; Mironov, Andrey E. A survey on polynomial in momenta integrals for billiard problems. (English) Zbl 1407.37057 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2131, Article ID 20170418, 19 p. (2018). MSC: 37D50 PDFBibTeX XMLCite \textit{M. Bialy} and \textit{A. E. Mironov}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2131, Article ID 20170418, 19 p. (2018; Zbl 1407.37057) Full Text: DOI arXiv
Gidea, Marian; de la Llave, Rafael Global Melnikov theory in Hamiltonian systems with general time-dependent perturbations. (English) Zbl 1405.37065 J. Nonlinear Sci. 28, No. 5, 1657-1707 (2018). Reviewer: Giuseppe Gaeta (Milano) MSC: 37J40 37C50 37C29 34C37 70H08 70H09 PDFBibTeX XMLCite \textit{M. Gidea} and \textit{R. de la Llave}, J. Nonlinear Sci. 28, No. 5, 1657--1707 (2018; Zbl 1405.37065) Full Text: DOI arXiv
Baldomá, I.; Castejón, O.; Seara, T. M. Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity. I. (English) Zbl 1404.34054 J. Nonlinear Sci. 28, No. 5, 1551-1627 (2018). MSC: 34C45 34C05 34C20 34C37 34C23 PDFBibTeX XMLCite \textit{I. Baldomá} et al., J. Nonlinear Sci. 28, No. 5, 1551--1627 (2018; Zbl 1404.34054) Full Text: DOI arXiv
Kaloshin, Vadim; Zhang, Ke Density of convex billiards with rational caustics. (English) Zbl 1400.37043 Nonlinearity 31, No. 11, 5214-5234 (2018). MSC: 37D50 37J40 37J50 70H08 PDFBibTeX XMLCite \textit{V. Kaloshin} and \textit{K. Zhang}, Nonlinearity 31, No. 11, 5214--5234 (2018; Zbl 1400.37043) Full Text: DOI arXiv
Xue, Nina; Zhao, Wencai On the effective reducibility of a class of quasi-periodic linear Hamiltonian systems close to constant coefficients. (English) Zbl 1408.37109 J. Funct. Spaces 2018, Article ID 5189873, 7 p. (2018). MSC: 37J45 70K43 70K30 70K28 PDFBibTeX XMLCite \textit{N. Xue} and \textit{W. Zhao}, J. Funct. Spaces 2018, Article ID 5189873, 7 p. (2018; Zbl 1408.37109) Full Text: DOI
Capiński, Maciej J.; Zgliczyński, Piotr Beyond the Melnikov method. II: Multidimensional setting. (English) Zbl 1400.37031 J. Differ. Equations 265, No. 9, 3988-4015 (2018). MSC: 37D10 37C29 65G20 PDFBibTeX XMLCite \textit{M. J. Capiński} and \textit{P. Zgliczyński}, J. Differ. Equations 265, No. 9, 3988--4015 (2018; Zbl 1400.37031) Full Text: DOI arXiv
Kaloshin, Vadim; Sorrentino, Alfonso On the local Birkhoff conjecture for convex billiards. (English) Zbl 1394.37093 Ann. Math. (2) 188, No. 1, 315-380 (2018). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 70H06 37E40 33E05 37D50 PDFBibTeX XMLCite \textit{V. Kaloshin} and \textit{A. Sorrentino}, Ann. Math. (2) 188, No. 1, 315--380 (2018; Zbl 1394.37093) Full Text: DOI arXiv
Huang, Guan; Kaloshin, Vadim; Sorrentino, Alfonso Nearly circular domains which are integrable close to the boundary are ellipses. (English) Zbl 1395.37041 Geom. Funct. Anal. 28, No. 2, 334-392 (2018). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37D50 PDFBibTeX XMLCite \textit{G. Huang} et al., Geom. Funct. Anal. 28, No. 2, 334--392 (2018; Zbl 1395.37041) Full Text: DOI arXiv
Dettmann, Carl P.; Fain, Vitaly; Turaev, Dmitry Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse. (English) Zbl 1388.37067 Nonlinearity 31, No. 3, 667-700 (2018). Reviewer: Vladimir Răsvan (Craiova) MSC: 37J40 37C29 37C50 37J25 70H09 70K55 70K70 PDFBibTeX XMLCite \textit{C. P. Dettmann} et al., Nonlinearity 31, No. 3, 667--700 (2018; Zbl 1388.37067) Full Text: DOI arXiv
Kubyshin, Yu. A.; Larreal, O.; Ramírez-Ros, R.; Seara, T. M. Stability of the phase motion in race-track microtrons. (English) Zbl 1376.78006 Physica D 349, 12-26 (2017). MSC: 78A55 37N20 37M05 39A30 PDFBibTeX XMLCite \textit{Yu. A. Kubyshin} et al., Physica D 349, 12--26 (2017; Zbl 1376.78006) Full Text: DOI arXiv
Gonzalez, J. L.; Mireles James, J. D. High-order parameterization of stable/unstable manifolds for long periodic orbits of maps. (English) Zbl 1378.37057 SIAM J. Appl. Dyn. Syst. 16, No. 3, 1748-1795 (2017). MSC: 37D10 37C27 37C75 37M99 PDFBibTeX XMLCite \textit{J. L. Gonzalez} and \textit{J. D. Mireles James}, SIAM J. Appl. Dyn. Syst. 16, No. 3, 1748--1795 (2017; Zbl 1378.37057) Full Text: DOI
Treschev, Dmitry A locally integrable multi-dimensional billiard system. (English) Zbl 1368.37063 Discrete Contin. Dyn. Syst. 37, No. 10, 5271-5284 (2017). MSC: 37J10 37J40 37J35 37D40 PDFBibTeX XMLCite \textit{D. Treschev}, Discrete Contin. Dyn. Syst. 37, No. 10, 5271--5284 (2017; Zbl 1368.37063) Full Text: DOI arXiv
Aguareles, M.; Baldomà, I.; M-Seara, T. On the asymptotic wavenumber of spiral waves in \(\lambda -\omega \) systems. (English) Zbl 1366.34042 Nonlinearity 30, No. 1, 90-114 (2017). Reviewer: George Karakostas (Ioannina) MSC: 34B40 35K57 34A25 34B18 34E05 PDFBibTeX XMLCite \textit{M. Aguareles} et al., Nonlinearity 30, No. 1, 90--114 (2017; Zbl 1366.34042) Full Text: DOI arXiv
Damasceno, Josué; Dias Carneiro, Mario J.; Ramírez-Ros, Rafael The billiard inside an ellipse deformed by the curvature flow. (English) Zbl 1368.37048 Proc. Am. Math. Soc. 145, No. 2, 705-719 (2017). MSC: 37E40 37J45 37B40 53C44 37D40 PDFBibTeX XMLCite \textit{J. Damasceno} et al., Proc. Am. Math. Soc. 145, No. 2, 705--719 (2017; Zbl 1368.37048) Full Text: DOI arXiv
Capiński, Maciej J.; Zgliczyński, Piotr Beyond the Melnikov method: A computer assisted approach. (English) Zbl 1368.37035 J. Differ. Equations 262, No. 1, 365-417 (2017). MSC: 37D10 65G20 37M99 70H33 65P40 PDFBibTeX XMLCite \textit{M. J. Capiński} and \textit{P. Zgliczyński}, J. Differ. Equations 262, No. 1, 365--417 (2017; Zbl 1368.37035) Full Text: DOI arXiv
Arnal, Ana; Casas, Fernando; Chiralt, Cristina A perturbative algorithm for quasi-periodic linear systems close to constant coefficients. (English) Zbl 1410.34165 Appl. Math. Comput. 273, 398-409 (2016). MSC: 34E10 PDFBibTeX XMLCite \textit{A. Arnal} et al., Appl. Math. Comput. 273, 398--409 (2016; Zbl 1410.34165) Full Text: DOI
Bialy, M.; Mironov, A. E. On fourth-degree polynomial integrals of the Birkhoff billiard. (English, Russian) Zbl 1371.37067 Proc. Steklov Inst. Math. 295, 27-32 (2016); translation in Tr. Mat. Inst. Steklova 295, 34-40 (2016). MSC: 37D50 14H70 PDFBibTeX XMLCite \textit{M. Bialy} and \textit{A. E. Mironov}, Proc. Steklov Inst. Math. 295, 27--32 (2016; Zbl 1371.37067); translation in Tr. Mat. Inst. Steklova 295, 34--40 (2016) Full Text: DOI
Avila, Artur; De Simoi, Jacopo; Kaloshin, Vadim An integrable deformation of an ellipse of small eccentricity is an ellipse. (English) Zbl 1379.37104 Ann. Math. (2) 184, No. 2, 527-558 (2016). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J35 37D50 37J40 PDFBibTeX XMLCite \textit{A. Avila} et al., Ann. Math. (2) 184, No. 2, 527--558 (2016; Zbl 1379.37104) Full Text: DOI arXiv
Martín, P.; Ramírez-Ros, R.; Tamarit-Sariol, A. Exponentially small asymptotic formulas for the length spectrum in some billiard tables. (English) Zbl 1360.37093 Exp. Math. 25, No. 4, 416-440 (2016). MSC: 37D50 37J50 65P10 52A10 37M05 37M15 PDFBibTeX XMLCite \textit{P. Martín} et al., Exp. Math. 25, No. 4, 416--440 (2016; Zbl 1360.37093) Full Text: DOI arXiv Link
Delshams, Amadeu; Gonchenko, Marina; Gutiérrez, Pere Exponentially small splitting of separatrices and transversality associated to whiskered tori with quadratic frequency ratio. (English) Zbl 1352.37164 SIAM J. Appl. Dyn. Syst. 15, No. 2, 981-1024 (2016). MSC: 37J40 70H08 PDFBibTeX XMLCite \textit{A. Delshams} et al., SIAM J. Appl. Dyn. Syst. 15, No. 2, 981--1024 (2016; Zbl 1352.37164) Full Text: DOI arXiv
Dovbysh, S. A. The splitting of separatrices, the branching of solutions, and nonintegrability of many-dimensional systems. application to the problem of the motion of a spherical pendulum with an oscillating suspension point. (English. Russian original) Zbl 1426.37048 J. Math. Sci., New York 214, No. 6, 755-801 (2016); translation from Fundam. Prikl. Mat. 19, No. 3, 23-90 (2014). MSC: 37J30 37J10 70E17 PDFBibTeX XMLCite \textit{S. A. Dovbysh}, J. Math. Sci., New York 214, No. 6, 755--801 (2016; Zbl 1426.37048); translation from Fundam. Prikl. Mat. 19, No. 3, 23--90 (2014) Full Text: DOI
Martín, Pau; Ramírez-Ros, Rafael; Tamarit-Sariol, Anna On the length and area spectrum of analytic convex domains. (English) Zbl 1365.37038 Nonlinearity 29, No. 1, 198-231 (2016). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 37E10 37D50 37E40 37J40 PDFBibTeX XMLCite \textit{P. Martín} et al., Nonlinearity 29, No. 1, 198--231 (2016; Zbl 1365.37038) Full Text: DOI arXiv
Kong, Yuedong; Lu, Xuezhu; Shi, Yanling On reducibility for a class of \(n\)-dimensional quasi-periodic systems with a small parameter. (English) Zbl 1410.34110 Appl. Math. Comput. 264, 272-278 (2015). MSC: 34C20 34E15 34C27 PDFBibTeX XMLCite \textit{Y. Kong} et al., Appl. Math. Comput. 264, 272--278 (2015; Zbl 1410.34110) Full Text: DOI
Meiss, J. D. Thirty years of turnstiles and transport. (English) Zbl 1374.37004 Chaos 25, No. 9, 097602, 17 p. (2015). MSC: 37-02 37A05 37J15 PDFBibTeX XMLCite \textit{J. D. Meiss}, Chaos 25, No. 9, 097602, 17 p. (2015; Zbl 1374.37004) Full Text: DOI arXiv
Rypina, I. I.; Pratt, L. J.; Wang, P.; Özgökmen, T. M.; Mezic, I. Resonance phenomena in a time-dependent, three-dimensional model of an idealized eddy. (English) Zbl 1374.76237 Chaos 25, No. 8, 087401, 20 p. (2015). MSC: 76U05 86A10 PDFBibTeX XMLCite \textit{I. I. Rypina} et al., Chaos 25, No. 8, 087401, 20 p. (2015; Zbl 1374.76237) Full Text: DOI
Sorrentino, Alfonso Computing Mather’s \(\beta\)-function for Birkhoff billiards. (English) Zbl 1359.37088 Discrete Contin. Dyn. Syst. 35, No. 10, 5055-5082 (2015). MSC: 37D50 37E40 37J50 PDFBibTeX XMLCite \textit{A. Sorrentino}, Discrete Contin. Dyn. Syst. 35, No. 10, 5055--5082 (2015; Zbl 1359.37088) Full Text: DOI arXiv
Li, Jia; Xu, Junxiang On the effective reducibility of a class of quasi-periodic Hamiltonian systems. (English) Zbl 1332.34077 Qual. Theory Dyn. Syst. 14, No. 2, 281-290 (2015). MSC: 34C20 37J10 PDFBibTeX XMLCite \textit{J. Li} and \textit{J. Xu}, Qual. Theory Dyn. Syst. 14, No. 2, 281--290 (2015; Zbl 1332.34077) Full Text: DOI
Fassò, Francesco; García-Naranjo, Luis C.; Giacobbe, Andrea Quasi-periodicity in relative quasi-periodic tori. (English) Zbl 1338.37072 Nonlinearity 28, No. 11, 4281-4301 (2015). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 37J35 37C55 37C80 PDFBibTeX XMLCite \textit{F. Fassò} et al., Nonlinearity 28, No. 11, 4281--4301 (2015; Zbl 1338.37072) Full Text: DOI arXiv
Cima, Anna; Gasull, Armengol; Mañosa, Víctor Non-integrability of measure preserving maps via Lie symmetries. (English) Zbl 1355.37038 J. Differ. Equations 259, No. 10, 5115-5136 (2015). Reviewer: Eszter Gselmann (Debrecen) MSC: 37C05 34C14 37C25 37J30 39A12 70G65 PDFBibTeX XMLCite \textit{A. Cima} et al., J. Differ. Equations 259, No. 10, 5115--5136 (2015; Zbl 1355.37038) Full Text: DOI arXiv
Cresson, Jacky; Wiggins, Stephen A \(\lambda\)-lemma for normally hyperbolic invariant manifolds. (English) Zbl 1331.37034 Regul. Chaotic Dyn. 20, No. 1, 94-108 (2015). MSC: 37D10 37J40 70H08 PDFBibTeX XMLCite \textit{J. Cresson} and \textit{S. Wiggins}, Regul. Chaotic Dyn. 20, No. 1, 94--108 (2015; Zbl 1331.37034) Full Text: DOI arXiv
Delshams, Amadeu; Gonchenko, Marina; Gutiérrez, Pere Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio. (English) Zbl 1343.37050 Regul. Chaotic Dyn. 19, No. 6, 663-680 (2014). MSC: 37J40 70H08 PDFBibTeX XMLCite \textit{A. Delshams} et al., Regul. Chaotic Dyn. 19, No. 6, 663--680 (2014; Zbl 1343.37050) Full Text: DOI arXiv
Delshams, Amadeu; Gonchenko, Marina; Gutiérrez, Pere Exponentially small lower bounds for the splitting of separatrices to whiskered tori with frequencies of constant type. (English) Zbl 1300.37016 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 8, Article ID 1440011, 12 p. (2014). MSC: 37C29 37J45 37D10 37J40 PDFBibTeX XMLCite \textit{A. Delshams} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 8, Article ID 1440011, 12 p. (2014; Zbl 1300.37016) Full Text: DOI arXiv
Luque, Alejandro; Villanueva, Jordi Quasi-periodic frequency analysis using averaging-extrapolation methods. (English) Zbl 1338.34088 SIAM J. Appl. Dyn. Syst. 13, No. 1, 1-46 (2014). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 34C46 37E45 37M10 65Txx 70K43 34C27 37E10 70F05 PDFBibTeX XMLCite \textit{A. Luque} and \textit{J. Villanueva}, SIAM J. Appl. Dyn. Syst. 13, No. 1, 1--46 (2014; Zbl 1338.34088) Full Text: DOI Link
Pinto-De-Carvalho, Sônia; Ramírez-Ros, Rafael Non-persistence of resonant caustics in perturbed elliptic billiards. (English) Zbl 1408.37065 Ergodic Theory Dyn. Syst. 33, No. 6, 1876-1890 (2013). MSC: 37D50 37E40 37J10 PDFBibTeX XMLCite \textit{S. Pinto-De-Carvalho} and \textit{R. Ramírez-Ros}, Ergodic Theory Dyn. Syst. 33, No. 6, 1876--1890 (2013; Zbl 1408.37065) Full Text: DOI arXiv
Sánchez, J.; Net, M. A parallel algorithm for the computation of invariant tori in large-scale dissipative systems. (English) Zbl 1278.37056 Physica D 252, 22-33 (2013). MSC: 37M99 65M22 PDFBibTeX XMLCite \textit{J. Sánchez} and \textit{M. Net}, Physica D 252, 22--33 (2013; Zbl 1278.37056) Full Text: DOI
Mireles James, J. D. Quadratic volume-preserving maps: (Un)stable manifolds, hyperbolic dynamics, and vortex-bubble bifurcations. (English) Zbl 1277.37035 J. Nonlinear Sci. 23, No. 4, 585-615 (2013). MSC: 37C05 37D10 37D45 PDFBibTeX XMLCite \textit{J. D. Mireles James}, J. Nonlinear Sci. 23, No. 4, 585--615 (2013; Zbl 1277.37035) Full Text: DOI
Delshams, Amadeu; Gutiérrez, Pere; Pacha, Juan R. Transversality of homoclinic orbits to hyperbolic equilibria in a Hamiltonian system, via the Hamilton-Jacobi equation. (English) Zbl 1353.37112 Physica D 243, No. 1, 64-85 (2013). MSC: 37J05 37C29 70H20 PDFBibTeX XMLCite \textit{A. Delshams} et al., Physica D 243, No. 1, 64--85 (2013; Zbl 1353.37112) Full Text: DOI arXiv
Casas, Pablo S.; Ramírez-Ros, Rafael Classification of symmetric periodic trajectories in ellipsoidal billiards. (English) Zbl 1331.37050 Chaos 22, No. 2, 026110, 24 p. (2012). MSC: 37D50 37C15 37C80 37J45 PDFBibTeX XMLCite \textit{P. S. Casas} and \textit{R. Ramírez-Ros}, Chaos 22, No. 2, 026110, 24 p. (2012; Zbl 1331.37050) Full Text: DOI arXiv
Pinto-de-Carvalho, Sônia; Ramírez-Ros, Rafael Billiards with a given number of \((k,n)\)-orbits. (English) Zbl 1331.37056 Chaos 22, No. 2, 026109, 6 p. (2012). MSC: 37D50 37C25 PDFBibTeX XMLCite \textit{S. Pinto-de-Carvalho} and \textit{R. Ramírez-Ros}, Chaos 22, No. 2, 026109, 6 p. (2012; Zbl 1331.37056) Full Text: DOI Link
Rom-Kedar, V.; Turaev, D. Billiards: A singular perturbation limit of smooth Hamiltonian flows. (English) Zbl 1331.37057 Chaos 22, No. 2, 026102, 21 p. (2012). MSC: 37D50 34E15 PDFBibTeX XMLCite \textit{V. Rom-Kedar} and \textit{D. Turaev}, Chaos 22, No. 2, 026102, 21 p. (2012; Zbl 1331.37057) Full Text: DOI Link
Balasuriya, Sanjeeva Explicit invariant manifolds and specialised trajectories in a class of unsteady flows. (English) Zbl 1309.76044 Phys. Fluids 24, No. 12, Paper No. 127101, 27 p. (2012). MSC: 76B47 37J40 35Q35 PDFBibTeX XMLCite \textit{S. Balasuriya}, Phys. Fluids 24, No. 12, Paper No. 127101, 27 p. (2012; Zbl 1309.76044) Full Text: DOI Link
Baldomá, Inmaculada; Fontich, Ernest; Guardia, Marcel; Seara, Tere M. Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results. (English) Zbl 1271.34050 J. Differ. Equations 253, No. 12, 3304-3439 (2012). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34C37 37J45 PDFBibTeX XMLCite \textit{I. Baldomá} et al., J. Differ. Equations 253, No. 12, 3304--3439 (2012; Zbl 1271.34050) Full Text: DOI arXiv
Hou, Xi-Yun; Liu, Lin On quasi-periodic motions around the collinear libration points in the real Earth-Moon system. (English) Zbl 1270.70019 Celest. Mech. Dyn. Astron. 110, No. 1, 71-98 (2011). MSC: 70F05 70F07 70K43 PDFBibTeX XMLCite \textit{X.-Y. Hou} and \textit{L. Liu}, Celest. Mech. Dyn. Astron. 110, No. 1, 71--98 (2011; Zbl 1270.70019) Full Text: DOI
Shi, Yong-Guo; Chen, Li Reversible maps and their symmetry lines. (English) Zbl 1221.37050 Commun. Nonlinear Sci. Numer. Simul. 16, No. 1, 363-371 (2011). MSC: 37C99 37-04 37E30 PDFBibTeX XMLCite \textit{Y.-G. Shi} and \textit{L. Chen}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 1, 363--371 (2011; Zbl 1221.37050) Full Text: DOI
Delshams, Amadeu; Huguet, Gemma A geometric mechanism of diffusion: rigorous verification in a priori unstable Hamiltonian systems. (English) Zbl 1214.37042 J. Differ. Equations 250, No. 5, 2601-2623 (2011). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37J40 37J45 PDFBibTeX XMLCite \textit{A. Delshams} and \textit{G. Huguet}, J. Differ. Equations 250, No. 5, 2601--2623 (2011; Zbl 1214.37042) Full Text: DOI arXiv
Hou, Xi-Yun; Liu, Lin On quasi-periodic motions around the triangular libration points of the real Earth-Moon system. (English) Zbl 1223.70024 Celest. Mech. Dyn. Astron. 108, No. 3, 301-313 (2010). MSC: 70F07 70F15 70K43 PDFBibTeX XMLCite \textit{X.-Y. Hou} and \textit{L. Liu}, Celest. Mech. Dyn. Astron. 108, No. 3, 301--313 (2010; Zbl 1223.70024) Full Text: DOI
Guardia, Marcel; Olivé, Carme; Seara, Tere M. Exponentially small splitting for the pendulum: A classical problem revisited. (English) Zbl 1219.34001 J. Nonlinear Sci. 20, No. 5, 595-685 (2010). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34-02 34C37 34E10 34C25 34C45 PDFBibTeX XMLCite \textit{M. Guardia} et al., J. Nonlinear Sci. 20, No. 5, 595--685 (2010; Zbl 1219.34001) Full Text: DOI
Sellama, Hocine On the distance between separatrices for the discretized logistic differential equation. (English) Zbl 1205.39005 J. Difference Equ. Appl. 16, No. 9, 1057-1099 (2010). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 39A12 34A34 PDFBibTeX XMLCite \textit{H. Sellama}, J. Difference Equ. Appl. 16, No. 9, 1057--1099 (2010; Zbl 1205.39005) Full Text: DOI arXiv HAL
Sánchez, J.; Net, M.; Simó, C. Computation of invariant tori by Newton-Krylov methods in large-scale dissipative systems. (English) Zbl 1183.37137 Physica D 239, No. 3-4, 123-133 (2010). MSC: 37M20 37C25 37N10 37G10 PDFBibTeX XMLCite \textit{J. Sánchez} et al., Physica D 239, No. 3--4, 123--133 (2010; Zbl 1183.37137) Full Text: DOI
Dragović, V.; Radnović, M. Bifurcations of Liouville tori in elliptical billiards. (English) Zbl 1229.37065 Regul. Chaotic Dyn. 14, No. 4-5, 479-494 (2009). MSC: 37J35 70H06 PDFBibTeX XMLCite \textit{V. Dragović} and \textit{M. Radnović}, Regul. Chaotic Dyn. 14, No. 4--5, 479--494 (2009; Zbl 1229.37065) Full Text: DOI arXiv
Bialy, Misha On periodic solutions for a reduction of Benney chain. (English) Zbl 1182.35014 NoDEA, Nonlinear Differ. Equ. Appl. 16, No. 6, 731-743 (2009). MSC: 35B10 35L65 35L67 70H06 35L60 PDFBibTeX XMLCite \textit{M. Bialy}, NoDEA, Nonlinear Differ. Equ. Appl. 16, No. 6, 731--743 (2009; Zbl 1182.35014) Full Text: DOI arXiv
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
Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings. (English) Zbl 1165.70022 Celest. Mech. Dyn. Astron. 104, No. 1-2, 191-204 (2009). MSC: 70H09 70H15 PDFBibTeX XMLCite \textit{E. Lega} et al., Celest. Mech. Dyn. Astron. 104, No. 1--2, 191--204 (2009; Zbl 1165.70022) Full Text: DOI
James, Guillaume; Sánchez-Rey, Bernardo; Cuevas, Jesús Breathers in inhomogeneous nonlinear lattices: an analysis via center manifold reduction. (English) Zbl 1178.37114 Rev. Math. Phys. 21, No. 1, 1-59 (2009). Reviewer: Victor Sharapov (Volgograd) MSC: 37L60 37K50 37K60 34C25 34C37 PDFBibTeX XMLCite \textit{G. James} et al., Rev. Math. Phys. 21, No. 1, 1--59 (2009; Zbl 1178.37114) Full Text: DOI arXiv
Delshams, Amadeu; de la Llave, Rafael; Seara, Tere M. Geometric properties of the scattering map of a normally hyperbolic invariant manifold. (English) Zbl 1131.37032 Adv. Math. 217, No. 3, 1096-1153 (2008). MSC: 37D10 37J40 37D40 53D25 70H08 70H09 PDFBibTeX XMLCite \textit{A. Delshams} et al., Adv. Math. 217, No. 3, 1096--1153 (2008; Zbl 1131.37032) Full Text: DOI Link
Wooden, Susan M.; Sinha, S. C. Analysis of periodic-quasiperiodic nonlinear systems via Lyapunov-Floquet transformation and normal forms. (English) Zbl 1180.70035 Nonlinear Dyn. 47, No. 1-3, 263-273 (2007). MSC: 70K45 70K43 PDFBibTeX XMLCite \textit{S. M. Wooden} and \textit{S. C. Sinha}, Nonlinear Dyn. 47, No. 1--3, 263--273 (2007; Zbl 1180.70035) Full Text: DOI
Rapoport, A.; Rom-Kedar, V.; Turaev, D. Approximating multi-dimensional Hamiltonian flows by billiards. (English) Zbl 1129.37031 Commun. Math. Phys. 272, No. 3, 567-600 (2007). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 37J35 37D50 70H05 PDFBibTeX XMLCite \textit{A. Rapoport} et al., Commun. Math. Phys. 272, No. 3, 567--600 (2007; Zbl 1129.37031) Full Text: DOI arXiv
Ramírez-Ros, Rafael Break-up of resonant invariant curves in billiards and dual billiards associated to perturbed circular tables. (English) Zbl 1099.37027 Physica D 214, No. 1, 78-87 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37D50 37J10 37E40 37J40 PDFBibTeX XMLCite \textit{R. Ramírez-Ros}, Physica D 214, No. 1, 78--87 (2006; Zbl 1099.37027) Full Text: DOI
Delshams, Amadeu; de La Llave, Rafael; Seara, Tere M. Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows. (English) Zbl 1091.37018 Adv. Math. 202, No. 1, 64-188 (2006). Reviewer: Mircea Puta (Timişoara) MSC: 37J40 37D40 37J45 37J25 53D25 70H08 PDFBibTeX XMLCite \textit{A. Delshams} et al., Adv. Math. 202, No. 1, 64--188 (2006; Zbl 1091.37018) Full Text: DOI Link
Petrisor, Emilia Reconnection scenarios and the threshold of reconnection in the dynamics of non-twist maps. (English) Zbl 1042.37031 Chaos Solitons Fractals 14, No. 1, 117-127 (2002); comment ibid. 27, No. 4, 1115-1116 (2006). MSC: 37E30 37G20 37J10 PDFBibTeX XMLCite \textit{E. Petrisor}, Chaos Solitons Fractals 14, No. 1, 117--127 (2006; Zbl 1042.37031)
Donnay, V. J. Creating transverse homoclinic connections in planar billiards. (English. Russian original) Zbl 1120.37040 J. Math. Sci., New York 128, No. 2, 2747-2753 (2005); translation from Zap. Nauchn. Semin. POMI 300, 122-134 (2003). MSC: 37J45 37D50 70K44 37D10 PDFBibTeX XMLCite \textit{V. J. Donnay}, J. Math. Sci., New York 128, No. 2, 2747--2753 (2005; Zbl 1120.37040); translation from Zap. Nauchn. Semin. POMI 300, 122--134 (2003) Full Text: DOI
Ramírez-Ros, Rafael Exponentially small separatrix splittings and almost invisible homoclinic bifurcations in some billiard tables. (English) Zbl 1152.37336 Physica D 210, No. 3-4, 149-179 (2005). MSC: 37J45 37D50 37G20 37J20 37M20 70K44 PDFBibTeX XMLCite \textit{R. Ramírez-Ros}, Physica D 210, No. 3--4, 149--179 (2005; Zbl 1152.37336) Full Text: DOI
Baldomá, Inmaculada; Fontich, Ernest Exponentially small splitting of separatrices in a weakly hyperbolic case. (English) Zbl 1122.37046 J. Differ. Equations 210, No. 1, 106-134 (2005). MSC: 37J40 34D35 37J30 37J35 70H07 PDFBibTeX XMLCite \textit{I. Baldomá} and \textit{E. Fontich}, J. Differ. Equations 210, No. 1, 106--134 (2005; Zbl 1122.37046) Full Text: DOI
James, Guillaume; Noble, Pascal Breathers on diatomic Fermi-Pasta-Ulam lattices. (English) Zbl 1081.82003 Physica D 196, No. 1-2, 124-171 (2004). MSC: 82B20 37L10 37L60 81V80 PDFBibTeX XMLCite \textit{G. James} and \textit{P. Noble}, Physica D 196, No. 1--2, 124--171 (2004; Zbl 1081.82003) Full Text: DOI
Yang, Ren Zi; Xu, Jun Xiang Effective reducibility of a class of linear differential equations with quasiperiodic coefficients. (English) Zbl 1069.34058 Acta Math. Sin., Engl. Ser. 20, No. 3, 525-532 (2004). Reviewer: S. D. Bajpai (Indore) MSC: 34C20 34D20 34A30 PDFBibTeX XMLCite \textit{R. Z. Yang} and \textit{J. X. Xu}, Acta Math. Sin., Engl. Ser. 20, No. 3, 525--532 (2004; Zbl 1069.34058) Full Text: DOI
Delshams, Amadeu; de la Llave, Rafael; Seara, Tere M. A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: announcement of results. (English) Zbl 1068.37043 Electron. Res. Announc. Am. Math. Soc. 9, 125-134 (2003). MSC: 37J40 70H08 PDFBibTeX XMLCite \textit{A. Delshams} et al., Electron. Res. Announc. Am. Math. Soc. 9, 125--134 (2003; Zbl 1068.37043) Full Text: DOI EuDML EMIS
Gelfreich, Vassili Near strongly resonant periodic orbits in a Hamiltonian system. (English) Zbl 1072.37044 Proc. Natl. Acad. Sci. USA 99, No. 22, 13975-13979 (2002). MSC: 37J20 34C25 37J40 37J45 70H12 PDFBibTeX XMLCite \textit{V. Gelfreich}, Proc. Natl. Acad. Sci. USA 99, No. 22, 13975--13979 (2002; Zbl 1072.37044) Full Text: DOI