Guardia, Marcel; Paradela, Jaime; Seara, Tere M.; Vidal, Claudio Symbolic dynamics in the restricted elliptic isosceles three body problem. (English) Zbl 1478.37086 J. Differ. Equations 294, 143-177 (2021). MSC: 37N05 37B10 70F07 PDF BibTeX XML Cite \textit{M. Guardia} et al., J. Differ. Equations 294, 143--177 (2021; Zbl 1478.37086) Full Text: DOI arXiv OpenURL
Gomide, Otávio M. L.; Guardia, Marcel; Seara, Tere M. Critical velocity in kink-defect interaction models: rigorous results. (English) Zbl 1439.35334 J. Differ. Equations 269, No. 4, 3282-3346 (2020). MSC: 35L71 35B25 35R05 PDF BibTeX XML Cite \textit{O. M. L. Gomide} et al., J. Differ. Equations 269, No. 4, 3282--3346 (2020; Zbl 1439.35334) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{E. Fontich} et al., Nonlinearity 32, No. 4, 1440--1493 (2019; Zbl 1409.37059) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{Yu. A. Kubyshin} et al., Physica D 349, 12--26 (2017; Zbl 1376.78006) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{P. Martín} et al., Exp. Math. 25, No. 4, 416--440 (2016; Zbl 1360.37093) Full Text: DOI arXiv Link OpenURL
Lombardi, Eric; Bernard, Patrick; Jézéquel, Tiphaine Homoclinic orbits with many loops near a \(0^2 i\omega\) resonant fixed point of Hamiltonian systems. (English) Zbl 1354.37060 Discrete Contin. Dyn. Syst. 36, No. 6, 3153-3225 (2016). Reviewer: Zhiqing Han (Dalian) MSC: 37J20 37J40 37J45 PDF BibTeX XML Cite \textit{E. Lombardi} et al., Discrete Contin. Dyn. Syst. 36, No. 6, 3153--3225 (2016; Zbl 1354.37060) Full Text: DOI arXiv OpenURL
Baldomá, I.; Castejón, O.; Seara, T. M. Exponentially small heteroclinic breakdown in the generic Hopf-zero singularity. (English) Zbl 1269.37025 J. Dyn. Differ. Equations 25, No. 2, 335-392 (2013). Reviewer: Maite Grau (Lleida) MSC: 37G20 34C37 34C23 PDF BibTeX XML Cite \textit{I. Baldomá} et al., J. Dyn. Differ. Equations 25, No. 2, 335--392 (2013; Zbl 1269.37025) Full Text: DOI arXiv OpenURL
Baldomá, I.; Martín, P. The inner equation for generalized standard maps. (English) Zbl 1266.34076 SIAM J. Appl. Dyn. Syst. 11, No. 3, 1062-1097 (2012). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C37 37J10 37C29 34E10 PDF BibTeX XML Cite \textit{I. Baldomá} and \textit{P. Martín}, SIAM J. Appl. Dyn. Syst. 11, No. 3, 1062--1097 (2012; Zbl 1266.34076) Full Text: DOI arXiv OpenURL
Martín, Pau; Sauzin, David; Seara, Tere M. Exponentially small splitting of separatrices in the perturbed McMillan map. (English) Zbl 1230.37070 Discrete Contin. Dyn. Syst. 31, No. 2, 301-372 (2011). MSC: 37J10 34C37 37C29 34E10 PDF BibTeX XML Cite \textit{P. Martín} et al., Discrete Contin. Dyn. Syst. 31, No. 2, 301--372 (2011; Zbl 1230.37070) Full Text: DOI OpenURL
Martín, Pau; Sauzin, David; Seara, Tere M. Resurgence of inner solutions for perturbations of the McMillan map. (English) Zbl 1230.37069 Discrete Contin. Dyn. Syst. 31, No. 1, 165-207 (2011). MSC: 37J10 34C37 34E10 PDF BibTeX XML Cite \textit{P. Martín} et al., Discrete Contin. Dyn. Syst. 31, No. 1, 165--207 (2011; Zbl 1230.37069) Full Text: DOI OpenURL
Tovbis, Alexander Breaking of symmetrical periodic solutions in a singularly perturbed KdV model. (English) Zbl 1182.34076 SIAM J. Math. Anal. 40, No. 4, 516-1549 (2008). Reviewer: Vasile Dragan (Bucureşti) MSC: 34E15 34E05 34D15 34C14 34C25 PDF BibTeX XML Cite \textit{A. Tovbis}, SIAM J. Math. Anal. 40, No. 4, p1516--1549 (2008; Zbl 1182.34076) Full Text: DOI Link OpenURL
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 PDF BibTeX XML Cite \textit{R. Ramírez-Ros}, Physica D 210, No. 3--4, 149--179 (2005; Zbl 1152.37336) Full Text: DOI Link OpenURL
Champneys, A. R. Codimension-one persistence beyond all orders of homoclinic orbits to singular saddle centres in reversible systems. (English) Zbl 0985.37045 Nonlinearity 14, No. 1, 87-112 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37G20 37C29 37G40 34C37 34C14 PDF BibTeX XML Cite \textit{A. R. Champneys}, Nonlinearity 14, No. 1, 87--112 (2001; Zbl 0985.37045) Full Text: DOI Link OpenURL
Simó, Carles Analytical and numerical detection of exponentially small phenomena. (English) Zbl 0963.65136 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 2. Singapore: World Scientific. 967-976 (2000). MSC: 65P30 37M20 PDF BibTeX XML Cite \textit{C. Simó}, in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 2. Singapore: World Scientific. 967--976 (2000; Zbl 0963.65136) OpenURL
Gelfreich, V. Exponentially small splitting of separatrices near bifurcations in area-preserving maps. (English) Zbl 0976.37032 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 2. Singapore: World Scientific. 947-951 (2000). MSC: 37J10 37J45 37E30 PDF BibTeX XML Cite \textit{V. Gelfreich}, in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 2. Singapore: World Scientific. 947--951 (2000; Zbl 0976.37032) OpenURL
Srivastava, L. M.; Srivastava, V. P.; Singh, P. Unsteady flow of a binary mixture of fluids between annular space of two circular cylinders. (English) Zbl 0504.76105 Z. Angew. Math. Mech. 62, 706-708 (1982). MSC: 76T99 76Z05 76A99 PDF BibTeX XML Cite \textit{L. M. Srivastava} et al., Z. Angew. Math. Mech. 62, 706--708 (1982; Zbl 0504.76105) Full Text: DOI OpenURL