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
Lizarraga, Ian; Marangell, Robert Spectral stability of shock-fronted travelling waves under viscous relaxation. (English) Zbl 07724688 J. Nonlinear Sci. 33, No. 5, Paper No. 82, 71 p. (2023). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 76L05 76E17 76R50 76M45 35Q35 PDFBibTeX XMLCite \textit{I. Lizarraga} and \textit{R. Marangell}, J. Nonlinear Sci. 33, No. 5, Paper No. 82, 71 p. (2023; Zbl 07724688) Full Text: DOI arXiv
Clarke, Andrew; Fejoz, Jacques; Guàrdia, Marcel Topological shadowing methods in Arnold diffusion: weak torsion and multiple time scales. (English) Zbl 1510.37047 Nonlinearity 36, No. 1, 426-457 (2023). Reviewer: Marcin Kulczycki (Kraków) MSC: 37D10 37C50 37C75 37J40 37N05 70F10 PDFBibTeX XMLCite \textit{A. Clarke} et al., Nonlinearity 36, No. 1, 426--457 (2023; Zbl 1510.37047) Full Text: DOI arXiv
Hsu, Ting-Hao; Ruan, Shigui Relaxation oscillations and the entry-exit function in multidimensional slow-fast systems. (English) Zbl 1471.34082 SIAM J. Math. Anal. 53, No. 4, 3717-3758 (2021). Reviewer: Vladimir Răsvan (Craiova) MSC: 34C26 34E15 92D25 PDFBibTeX XMLCite \textit{T.-H. Hsu} and \textit{S. Ruan}, SIAM J. Math. Anal. 53, No. 4, 3717--3758 (2021; Zbl 1471.34082) Full Text: DOI arXiv
Wang, Cheng; Zhang, Xiang Canards, heteroclinic and homoclinic orbits for a slow-fast predator-prey model of generalized Holling type III. (English) Zbl 1418.34103 J. Differ. Equations 267, No. 6, 3397-3441 (2019). MSC: 34C60 34C37 34C26 92D25 34E15 34E17 PDFBibTeX XMLCite \textit{C. Wang} and \textit{X. Zhang}, J. Differ. Equations 267, No. 6, 3397--3441 (2019; Zbl 1418.34103) Full Text: DOI
Hsu, Ting-Hao Number and stability of relaxation oscillations for predator-prey systems with small death rates. (English) Zbl 1411.34064 SIAM J. Appl. Dyn. Syst. 18, No. 1, 33-67 (2019). MSC: 34C60 34C26 92D25 34E15 34D20 34C05 PDFBibTeX XMLCite \textit{T.-H. Hsu}, SIAM J. Appl. Dyn. Syst. 18, No. 1, 33--67 (2019; Zbl 1411.34064) Full Text: DOI arXiv
Wang, Cheng; Zhang, Xiang Relaxation oscillations in a slow-fast modified Leslie-Gower model. (English) Zbl 1433.34069 Appl. Math. Lett. 87, 147-153 (2019). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C60 92D25 34E15 34C26 34C05 PDFBibTeX XMLCite \textit{C. Wang} and \textit{X. Zhang}, Appl. Math. Lett. 87, 147--153 (2019; Zbl 1433.34069) Full Text: DOI
Eldering, Jaap; Kvalheim, Matthew; Revzen, Shai Global linearization and fiber bundle structure of invariant manifolds. (English) Zbl 1396.37035 Nonlinearity 31, No. 9, 4202-4245 (2018). Reviewer: Dilmurat Tursunov (Osh) MSC: 37D10 34E15 70K70 PDFBibTeX XMLCite \textit{J. Eldering} et al., Nonlinearity 31, No. 9, 4202--4245 (2018; Zbl 1396.37035) Full Text: DOI arXiv
de Rijk, Björn Spectra and stability of spatially periodic pulse patterns. II: The critical spectral curve. (English) Zbl 1418.35015 SIAM J. Math. Anal. 50, No. 2, 1958-2019 (2018). Reviewer: Denise Huet (Nancy) MSC: 35B10 35B35 35B25 35K57 34L10 PDFBibTeX XMLCite \textit{B. de Rijk}, SIAM J. Math. Anal. 50, No. 2, 1958--2019 (2018; Zbl 1418.35015) 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
Holzer, Matt; Popović, Nikola Wavetrain solutions of a reaction-diffusion-advection model of mussel-algae interaction. (English) Zbl 1434.35256 SIAM J. Appl. Dyn. Syst. 16, No. 1, 431-478 (2017). MSC: 35Q92 35B36 35C07 35K57 35M30 PDFBibTeX XMLCite \textit{M. Holzer} and \textit{N. Popović}, SIAM J. Appl. Dyn. Syst. 16, No. 1, 431--478 (2017; Zbl 1434.35256) Full Text: DOI
Hsu, Ting-Hao On bifurcation delay: an alternative approach using geometric singular perturbation theory. (English) Zbl 1365.34101 J. Differ. Equations 262, No. 3, 1617-1630 (2017). Reviewer: Robert Vrabel (Trnava) MSC: 34E20 34C23 34D20 PDFBibTeX XMLCite \textit{T.-H. Hsu}, J. Differ. Equations 262, No. 3, 1617--1630 (2017; Zbl 1365.34101) Full Text: DOI arXiv
Hsu, Ting-Hao Viscous singular shock profiles for a system of conservation laws modeling two-phase flow. (English) Zbl 1347.35166 J. Differ. Equations 261, No. 4, 2300-2333 (2016). Reviewer: Jörg Härterich (Bochum) MSC: 35L67 35L65 34E15 34C37 35B25 PDFBibTeX XMLCite \textit{T.-H. Hsu}, J. Differ. Equations 261, No. 4, 2300--2333 (2016; Zbl 1347.35166) Full Text: DOI arXiv
de Rijk, Björn; Doelman, Arjen; Rademacher, Jens Spectra and stability of spatially periodic pulse patterns: Evans function factorization via Riccati transformation. (English) Zbl 1336.35042 SIAM J. Math. Anal. 48, No. 1, 61-121 (2016). Reviewer: Denise Huet (Nancy) MSC: 35B25 35B35 34C20 34D09 34L10 35B10 35K57 35K40 PDFBibTeX XMLCite \textit{B. de Rijk} et al., SIAM J. Math. Anal. 48, No. 1, 61--121 (2016; Zbl 1336.35042) Full Text: DOI arXiv
Li, Ji; Lu, Kening; Bates, Peter W. Geometric singular perturbation theory with real noise. (English) Zbl 1332.34099 J. Differ. Equations 259, No. 10, 5137-5167 (2015). Reviewer: Georgi Medvedev (Ambler) MSC: 34E15 34F05 34C45 34C37 37H10 PDFBibTeX XMLCite \textit{J. Li} et al., J. Differ. Equations 259, No. 10, 5137--5167 (2015; Zbl 1332.34099) Full Text: DOI
Schecter, Stephen; Xu, Guangbo Morse theory for Lagrange multipliers and adiabatic limits. (English) Zbl 1302.58005 J. Differ. Equations 257, No. 12, 4277-4318 (2014). MSC: 58E05 PDFBibTeX XMLCite \textit{S. Schecter} and \textit{G. Xu}, J. Differ. Equations 257, No. 12, 4277--4318 (2014; Zbl 1302.58005) Full Text: DOI arXiv
Banyaga, Augustin; Hurtubise, David E. Cascades and perturbed Morse-Bott functions. (English) Zbl 1261.57029 Algebr. Geom. Topol. 13, No. 1, 237-275 (2013). Reviewer: Dorin Andrica (Riyadh) MSC: 57R70 37D05 37D15 58E05 PDFBibTeX XMLCite \textit{A. Banyaga} and \textit{D. E. Hurtubise}, Algebr. Geom. Topol. 13, No. 1, 237--275 (2013; Zbl 1261.57029) Full Text: DOI arXiv
Hurtubise, David E. Three approaches to Morse-Bott homology. (English) Zbl 1311.57043 Afr. Diaspora J. Math. 14, No. 2, 145-177 (2012). Reviewer: Mihai Damian (Strasbourg) MSC: 57R70 58E05 37D15 58K05 PDFBibTeX XMLCite \textit{D. E. Hurtubise}, Afr. Diaspora J. Math. 14, No. 2, 145--177 (2012; Zbl 1311.57043) Full Text: arXiv Euclid
Benes, G. Nicholas; Barry, Anna M.; Kaper, Tasso J.; Kramer, Mark A.; Burke, John An elementary model of torus canards. (English) Zbl 1317.34098 Chaos 21, No. 2, 023131, 17 p. (2011). MSC: 34C60 34E17 34C05 34C10 37G15 34C23 92C05 PDFBibTeX XMLCite \textit{G. N. Benes} et al., Chaos 21, No. 2, 023131, 17 p. (2011; Zbl 1317.34098) Full Text: DOI Link
Kovačič, Gregor; Wettergren, Thomas A. Homoclinic orbits in the dynamics of resonantly driven coupled pendula. (English) Zbl 0848.70015 Z. Angew. Math. Phys. 47, No. 2, 221-264 (1996). MSC: 70K30 70K40 PDFBibTeX XMLCite \textit{G. Kovačič} and \textit{T. A. Wettergren}, Z. Angew. Math. Phys. 47, No. 2, 221--264 (1996; Zbl 0848.70015) Full Text: DOI