Faou, Erwan; Raphaël, Pierre On weakly turbulent solutions to the perturbed linear harmonic oscillator. (English) Zbl 1527.35327 Am. J. Math. 145, No. 5, 1465-1507 (2023). MSC: 35Q41 35Q40 81Q15 35B40 35B65 35B05 PDFBibTeX XMLCite \textit{E. Faou} and \textit{P. Raphaël}, Am. J. Math. 145, No. 5, 1465--1507 (2023; Zbl 1527.35327) Full Text: DOI arXiv
Clarke, Andrew; Turaev, Dmitry Arnold diffusion in multidimensional convex billiards. (English) Zbl 07732797 Duke Math. J. 172, No. 10, 1813-1878 (2023). Reviewer: João Lopes Dias (Lisboa) MSC: 37J40 37C20 37C83 53D25 PDFBibTeX XMLCite \textit{A. Clarke} and \textit{D. Turaev}, Duke Math. J. 172, No. 10, 1813--1878 (2023; Zbl 07732797) Full Text: DOI arXiv Link
Chen, Qinbo; de la Llave, Rafael Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems. (English) Zbl 1501.37063 Nonlinearity 35, No. 4, 1986-2019 (2022). Reviewer: Yong Li (Changchun) MSC: 37J40 37J25 70H08 70H33 PDFBibTeX XMLCite \textit{Q. Chen} and \textit{R. de la Llave}, Nonlinearity 35, No. 4, 1986--2019 (2022; Zbl 1501.37063) Full Text: DOI arXiv
Gidea, Marian; de la Llave, Rafael; Seara, Tere M. A general mechanism of instability in Hamiltonian systems: skipping along a normally hyperbolic invariant manifold. (English) Zbl 1454.37054 Discrete Contin. Dyn. Syst. 40, No. 12, 6795-6813 (2020). MSC: 37J25 37J39 37J06 70H14 70K20 70K50 PDFBibTeX XMLCite \textit{M. Gidea} et al., Discrete Contin. Dyn. Syst. 40, No. 12, 6795--6813 (2020; Zbl 1454.37054) Full Text: DOI
Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, Jason D. Parameterization of invariant manifolds for periodic orbits. II: A posteriori analysis and computer assisted error bounds. (English) Zbl 1419.37020 J. Dyn. Differ. Equations 30, No. 4, 1525-1581 (2018). MSC: 37C27 37M99 37D10 65P40 PDFBibTeX XMLCite \textit{R. Castelli} et al., J. Dyn. Differ. Equations 30, No. 4, 1525--1581 (2018; Zbl 1419.37020) Full Text: DOI
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
Gelfreich, Vassili; Turaev, Dmitry Arnold diffusion in a priori chaotic symplectic maps. (English) Zbl 1373.37133 Commun. Math. Phys. 353, No. 2, 507-547 (2017). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J10 37J40 PDFBibTeX XMLCite \textit{V. Gelfreich} and \textit{D. Turaev}, Commun. Math. Phys. 353, No. 2, 507--547 (2017; Zbl 1373.37133) Full Text: DOI Link
Gidea, Marian; de la Llave, Rafael Perturbations of geodesic flows by recurrent dynamics. (English) Zbl 1362.37116 J. Eur. Math. Soc. (JEMS) 19, No. 3, 905-956 (2017). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J40 37C50 37C29 37J25 53D25 PDFBibTeX XMLCite \textit{M. Gidea} and \textit{R. de la Llave}, J. Eur. Math. Soc. (JEMS) 19, No. 3, 905--956 (2017; Zbl 1362.37116) Full Text: DOI arXiv
Capiński, Maciej J.; Gidea, Marian; de la Llave, Rafael Arnold diffusion in the planar elliptic restricted three-body problem: mechanism and numerical verification. (English) Zbl 1359.37121 Nonlinearity 30, No. 1, 329-360 (2017). Reviewer: Martha Alvarez-Ramirez (México City) MSC: 37J25 37J40 70F07 70F15 37M05 37N05 70M20 PDFBibTeX XMLCite \textit{M. J. Capiński} et al., Nonlinearity 30, No. 1, 329--360 (2017; Zbl 1359.37121) Full Text: DOI arXiv
Bernard, Patrick; Kaloshin, Vadim; Zhang, Ke Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders. (English) Zbl 1368.37068 Acta Math. 217, No. 1, 1-79 (2016). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J45 70H08 PDFBibTeX XMLCite \textit{P. Bernard} et al., Acta Math. 217, No. 1, 1--79 (2016; Zbl 1368.37068) Full Text: DOI arXiv
Delshams, Amadeu; de la Llave, Rafael; Seara, Tere M. Instability of high dimensional Hamiltonian systems: multiple resonances do not impede diffusion. (English) Zbl 1355.37074 Adv. Math. 294, 689-755 (2016). MSC: 37J25 37J40 PDFBibTeX XMLCite \textit{A. Delshams} et al., Adv. Math. 294, 689--755 (2016; Zbl 1355.37074) Full Text: DOI arXiv
Granados, A.; Hogan, S. J.; Seara, T. M. The scattering map in two coupled piecewise-smooth systems, with numerical application to rocking blocks. (English) Zbl 1286.37060 Physica D 269, 1-20 (2014). MSC: 37J40 37J45 70H08 70K44 PDFBibTeX XMLCite \textit{A. Granados} et al., Physica D 269, 1--20 (2014; Zbl 1286.37060) Full Text: DOI arXiv
Eliasson, Håkan (ed.); Hofer, Helmut W. (ed.); Yoccoz, Jean-Christophe (ed.) Dynamical systems. Abstracts from the workshop held July 7–13, 2013. (Dynamische Systeme.) (English) Zbl 1349.00156 Oberwolfach Rep. 10, No. 3, 1975-2033 (2013). MSC: 00B05 00B25 37-06 37Kxx 35Q53 53D05 PDFBibTeX XMLCite \textit{H. Eliasson} (ed.) et al., Oberwolfach Rep. 10, No. 3, 1975--2033 (2013; Zbl 1349.00156) Full Text: DOI
Margheri, Alessandro; Rebelo, Carlota; Zanolin, Fabio Complex dynamics in pendulum-type equations with variable length. (English) Zbl 1296.34112 J. Dyn. Differ. Equations 25, No. 3, 627-652 (2013). Reviewer: Antonio Linero Bas (Murcia) MSC: 34C28 34C25 37B10 54H20 34C15 PDFBibTeX XMLCite \textit{A. Margheri} et al., J. Dyn. Differ. Equations 25, No. 3, 627--652 (2013; Zbl 1296.34112) Full Text: DOI
Gidea, Marian; Gidea, Claudia; Byrd, William Deterministic models for simulating electrocardiographic signals. (English) Zbl 1218.92051 Commun. Nonlinear Sci. Numer. Simul. 16, No. 10, 3871-3880 (2011). MSC: 92C55 68U20 PDFBibTeX XMLCite \textit{M. Gidea} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 10, 3871--3880 (2011; Zbl 1218.92051) 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
Cordani, Bruno Frequency modulation indicator, Arnold’s web and diffusion in the Stark-quadratic-Zeeman problem. (English) Zbl 1160.37385 Physica D 237, No. 21, 2797-2815 (2008). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 37J40 70H05 PDFBibTeX XMLCite \textit{B. Cordani}, Physica D 237, No. 21, 2797--2815 (2008; Zbl 1160.37385) Full Text: DOI