Llibre, Jaume; Teixeira, Marco Antonio On the periodic orbits of the continuous-discontinuous piecewise differential systems with three pieces separated by two parallel straight lines. (English) Zbl 1518.34053 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107421, 9 p. (2023). MSC: 34C29 34C25 47H11 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{M. A. Teixeira}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107421, 9 p. (2023; Zbl 1518.34053) Full Text: DOI
Buzzi, Claudio A.; Rodero, Ana Livia; Teixeira, Marco A. Stability conditions for refractive partially integrable piecewise smooth vector fields. (English) Zbl 1507.37023 Physica D 440, Article ID 133462, 15 p. (2022). MSC: 37C20 37C10 37C75 37C79 37J35 37J39 PDFBibTeX XMLCite \textit{C. A. Buzzi} et al., Physica D 440, Article ID 133462, 15 p. (2022; Zbl 1507.37023) Full Text: DOI
Jeffrey, Mike R.; Seidman, Thomas I.; Teixeira, Marco A.; Utkin, Vadim I. Into higher dimensions for nonsmooth dynamical systems. (English) Zbl 1497.37026 Physica D 434, Article ID 133222, 13 p. (2022). MSC: 37C10 37N35 34A36 34K39 PDFBibTeX XMLCite \textit{M. R. Jeffrey} et al., Physica D 434, Article ID 133222, 13 p. (2022; Zbl 1497.37026) Full Text: DOI
da S. Andrade, Kamila; Jeffrey, Mike R.; Martins, Ricardo M.; Teixeira, Marco A. Homoclinic boundary-saddle bifurcations in planar nonsmooth vector fields. (English) Zbl 1502.34023 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 4, Article ID 2230009, 27 p. (2022). Reviewer: Weinian Zhang (Chengdu) MSC: 34A36 34C23 34C37 PDFBibTeX XMLCite \textit{K. da S. Andrade} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 4, Article ID 2230009, 27 p. (2022; Zbl 1502.34023) Full Text: DOI arXiv
Gomide, Otávio M. L.; Teixeira, Marco A. Chains in \(3D\) Filippov systems: a chaotic phenomenon. (English) Zbl 1491.34030 J. Math. Pures Appl. (9) 159, 168-195 (2022). MSC: 34A36 34C37 34C45 37G20 34C05 34C28 37D45 PDFBibTeX XMLCite \textit{O. M. L. Gomide} and \textit{M. A. Teixeira}, J. Math. Pures Appl. (9) 159, 168--195 (2022; Zbl 1491.34030) Full Text: DOI arXiv
Gomide, Otávio M. L.; Teixeira, Marco A. On typical homoclinic-like loops in 3D Filippov systems. (English) Zbl 1491.34055 J. Differ. Equations 307, 444-475 (2022). Reviewer: Alessandro Calamai (Ancona) MSC: 34C37 34A36 34C23 PDFBibTeX XMLCite \textit{O. M. L. Gomide} and \textit{M. A. Teixeira}, J. Differ. Equations 307, 444--475 (2022; Zbl 1491.34055) Full Text: DOI arXiv
Larrosa, Juliana; M-Seara, Tere; Teixeira, Marco Antonio Local generic behavior of a planar Filippov system with non-smooth switching curve. (English) Zbl 1506.34029 São Paulo J. Math. Sci. 15, No. 2, 882-915 (2021). MSC: 34A36 34C05 34D20 34C23 34D30 PDFBibTeX XMLCite \textit{J. Larrosa} et al., São Paulo J. Math. Sci. 15, No. 2, 882--915 (2021; Zbl 1506.34029) Full Text: DOI
Novaes, Douglas D.; Seara, Tere M.; Teixeira, Marco A.; Zeli, Iris O. Study of periodic orbits in periodic perturbations of planar reversible Filippov systems having a twofold cycle. (English) Zbl 1459.34059 SIAM J. Appl. Dyn. Syst. 19, No. 2, 1343-1371 (2020). Reviewer: Vladimir Răsvan (Craiova) MSC: 34A36 34C23 34C25 34E10 34C05 37C60 PDFBibTeX XMLCite \textit{D. D. Novaes} et al., SIAM J. Appl. Dyn. Syst. 19, No. 2, 1343--1371 (2020; Zbl 1459.34059) Full Text: DOI arXiv
Teixeira, Marco A.; Tonon, Durval J. Asymptotic stability in some generic classes of three-dimensional discontinuous dynamical systems. (English) Zbl 1450.37027 Ortegon Gallego, Francisco (ed.) et al., Recent advances in pure and applied mathematics. Based on contributions presented at the Second Joint Meeting Spain-Brazil in Mathematics, Cádiz, Spain, December 11–14, 2018. Cham: Springer. RSME Springer Ser. 4, 21-33 (2020). MSC: 37C75 37C25 37C10 PDFBibTeX XMLCite \textit{M. A. Teixeira} and \textit{D. J. Tonon}, RSME Springer Ser. 4, 21--33 (2020; Zbl 1450.37027) Full Text: DOI
Gomide, Otávio M. L.; Teixeira, Marco A. On structural stability of 3D Filippov systems. A semi-local approach. (English) Zbl 1436.37029 Math. Z. 294, No. 1-2, 419-449 (2020). MSC: 37C25 37C75 37C10 37C15 37C20 PDFBibTeX XMLCite \textit{O. M. L. Gomide} and \textit{M. A. Teixeira}, Math. Z. 294, No. 1--2, 419--449 (2020; Zbl 1436.37029) Full Text: DOI arXiv
Carvalho, Tiago; Teixeira, Marco Antonio Attractivity, degeneracy and codimension of a typical singularity in 3D piecewise smooth vector fields. (English) Zbl 1431.34019 Milan J. Math. 87, No. 2, 233-248 (2019). MSC: 34A36 34C23 34C05 34C45 34D05 PDFBibTeX XMLCite \textit{T. Carvalho} and \textit{M. A. Teixeira}, Milan J. Math. 87, No. 2, 233--248 (2019; Zbl 1431.34019) Full Text: DOI arXiv
Andrade, K. da S.; Jeffrey, M. R.; Martins, R. M.; Teixeira, M. A. On the Dulac’s problem for piecewise analytic vector fields. (English) Zbl 1426.34042 J. Differ. Equations 266, No. 4, 2259-2273 (2019). Reviewer: Anthony D. Osborne (Keele) MSC: 34C07 35C05 PDFBibTeX XMLCite \textit{K. da S. Andrade} et al., J. Differ. Equations 266, No. 4, 2259--2273 (2019; Zbl 1426.34042) Full Text: DOI Link
Llibre, Jaume; Teixeira, Marco Antonio Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals. (English) Zbl 1395.34049 São Paulo J. Math. Sci. 12, No. 1, 121-135 (2018). MSC: 34C25 34C29 47H11 34A36 34A05 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{M. A. Teixeira}, São Paulo J. Math. Sci. 12, No. 1, 121--135 (2018; Zbl 1395.34049) Full Text: DOI Link
Carvalho, Tiago; Teixeira, Marco A. On piecewise smooth vector fields tangent to nested tori. (English) Zbl 1350.34020 J. Differ. Equations 261, No. 7, 4008-4029 (2016). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34A36 34C05 37G15 34C23 34C45 PDFBibTeX XMLCite \textit{T. Carvalho} and \textit{M. A. Teixeira}, J. Differ. Equations 261, No. 7, 4008--4029 (2016; Zbl 1350.34020) Full Text: DOI
Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco Antonio On the periodic solutions of perturbed 4D non-resonant systems. (English) Zbl 1369.34061 São Paulo J. Math. Sci. 9, No. 2, 229-250 (2015). MSC: 34C25 34C15 34D10 37G15 PDFBibTeX XMLCite \textit{J. Llibre} et al., São Paulo J. Math. Sci. 9, No. 2, 229--250 (2015; Zbl 1369.34061) Full Text: DOI arXiv Link
Artés, Joan C.; Llibre, Jaume; Medrado, Joao C.; Teixeira, Marco A. Piecewise linear differential systems with two real saddles. (English) Zbl 07312523 Math. Comput. Simul. 95, 13-22 (2014). MSC: 34C05 34C07 37G15 PDFBibTeX XMLCite \textit{J. C. Artés} et al., Math. Comput. Simul. 95, 13--22 (2014; Zbl 07312523) Full Text: DOI Link
Buzzi, Claudio A.; de Carvalho, Tiago; Teixeira, Marco A. Birth of limit cycles bifurcating from a nonsmooth center. (English) Zbl 1300.34032 J. Math. Pures Appl. (9) 102, No. 1, 36-47 (2014). Reviewer: Joseph Páez Chávez (Dresden) MSC: 34A36 37G05 37G10 34C05 34C23 PDFBibTeX XMLCite \textit{C. A. Buzzi} et al., J. Math. Pures Appl. (9) 102, No. 1, 36--47 (2014; Zbl 1300.34032) Full Text: DOI
Jacquemard, A.; Teixeira, M. A.; Tonon, D. J. Stability conditions in piecewise smooth dynamical systems at a two-fold singularity. (English) Zbl 1283.37057 J. Dyn. Control Syst. 19, No. 1, 47-67 (2013). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37G10 37G05 37G20 37G25 PDFBibTeX XMLCite \textit{A. Jacquemard} et al., J. Dyn. Control Syst. 19, No. 1, 47--67 (2013; Zbl 1283.37057) Full Text: DOI
Buzzi, Claudio A.; Medrado, João C. R.; Teixeira, Marco A. Generic bifurcation of refracted systems. (English) Zbl 1266.34024 Adv. Math. 234, 653-666 (2013). Reviewer: M. A. M. Alwash (Culver City) MSC: 34A36 34C20 34C23 34C26 34D30 PDFBibTeX XMLCite \textit{C. A. Buzzi} et al., Adv. Math. 234, 653--666 (2013; Zbl 1266.34024) Full Text: DOI
Buzzi, Claudio A.; da Silva, Paulo R.; Teixeira, Marco A. Slow-fast systems on algebraic varieties bordering piecewise-smooth dynamical systems. (English) Zbl 1252.34016 Bull. Sci. Math. 136, No. 4, 444-462 (2012). Reviewer: Iliya Iliev (Sofia) MSC: 34A36 34C20 34D15 34H05 PDFBibTeX XMLCite \textit{C. A. Buzzi} et al., Bull. Sci. Math. 136, No. 4, 444--462 (2012; Zbl 1252.34016) Full Text: DOI
Guardia, M.; Seara, T. M.; Teixeira, M. A. Generic bifurcations of low codimension of planar Filippov systems. (English) Zbl 1225.34046 J. Differ. Equations 250, No. 4, 1967-2023 (2011). Reviewer: Martin Rasmussen (London) MSC: 34C23 34A36 PDFBibTeX XMLCite \textit{M. Guardia} et al., J. Differ. Equations 250, No. 4, 1967--2023 (2011; Zbl 1225.34046) Full Text: DOI Link
Jacquemard, A.; Pereira, W. F.; Teixeira, M. A. Generic singularities of relay systems. (English) Zbl 1145.34020 J. Dyn. Control Syst. 13, No. 4, 503-530 (2007). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C05 34A36 PDFBibTeX XMLCite \textit{A. Jacquemard} et al., J. Dyn. Control Syst. 13, No. 4, 503--530 (2007; Zbl 1145.34020) Full Text: DOI
Llibre, Jaume; da Silva, Paulo R.; Teixeira, Marco A. Regularization of discontinuous vector fields on \({\mathbb{R}^3}\) via singular perturbation. (English) Zbl 1127.34003 J. Dyn. Differ. Equations 19, No. 2, 309-331 (2007). Reviewer: Jiaqi Mo (Wuhu) MSC: 34A36 34E15 PDFBibTeX XMLCite \textit{J. Llibre} et al., J. Dyn. Differ. Equations 19, No. 2, 309--331 (2007; Zbl 1127.34003) Full Text: DOI
Buzzi, Claudio A.; da Silva, Paulo R.; Teixeira, Marco A. A singular approach to discontinuous vector fields on the plane. (English) Zbl 1116.34008 J. Differ. Equations 231, No. 2, 633-655 (2006). Reviewer: Iliya Iliev (Sofia) MSC: 34A36 34C26 34E15 34A26 PDFBibTeX XMLCite \textit{C. A. Buzzi} et al., J. Differ. Equations 231, No. 2, 633--655 (2006; Zbl 1116.34008) Full Text: DOI Link
Jacquemard, A.; Teixeira, M. A. Computer analysis of periodic orbits of discontinuous vector fields. (English) Zbl 1028.37016 J. Symb. Comput. 35, No. 5, 617-636 (2003). Reviewer: Franco Vivaldi (London) MSC: 37C27 37C10 37M99 34C25 34-04 34A36 PDFBibTeX XMLCite \textit{A. Jacquemard} and \textit{M. A. Teixeira}, J. Symb. Comput. 35, No. 5, 617--636 (2003; Zbl 1028.37016) Full Text: DOI