| Hopf and homoclinic bifurcations on the sliding vector field of switching systems in R3: a case study in power electronics R Cristiano, T Carvalho, DJ Tonon, DJ Pagano Physica D: Nonlinear Phenomena 347, 12-20, 2017 | 48 | 2017 |
| Stability conditions in piecewise smooth dynamical systems at a two-fold singularity A Jacquemard, MA Teixeira, DJ Tonon Journal of Dynamical and Control Systems 19, 47-67, 2013 | 33 | 2013 |
| Global analysis of the dynamics of a mathematical model to intermittent HIV treatment T de Carvalho, R Cristiano, LF Goncalves, DJ Tonon Nonlinear Dynamics 101, 719-739, 2020 | 31 | 2020 |
| Piecewise smooth reversible dynamical systems at a two-fold singularity A Jacquemard, MA Teixeira, DJ Tonon arXiv preprint arXiv:1111.4973, 2011 | 30 | 2011 |
| Coupled systems of non-smooth differential equations A Jacquemard, DJ Tonon Bulletin des Sciences Mathématiques 136 (3), 239-255, 2012 | 22 | 2012 |
| Normal forms for codimension one planar piecewise smooth vector fields T de Carvalho, DJ Tonon International Journal of Bifurcation and Chaos 24 (07), 1450090, 2014 | 19 | 2014 |
| Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields JL Cardoso, J Llibre, DD Novaes, DJ Tonon Dynamical Systems 35 (3), 490-514, 2020 | 17 | 2020 |
| Bifurcations at a degenerate two-fold singularity and crossing limit cycles R Cristiano, DJ Pagano, T Carvalho, DJ Tonon Journal of Differential Equations 268 (1), 115-140, 2019 | 16 | 2019 |
| Generic bifurcations of planar Filippov systems via geometric singular perturbations DJ Tonon, T de Carvalho Bulletin of the Belgian Mathematical Society-Simon Stevin 18 (5), 861-881, 2011 | 16 | 2011 |
| Global Analysis of a piecewise smooth epidemiological model of COVID-19 T Carvalho, R Cristiano, DS Rodrigues, DJ Tonon Nonlinear dynamics 105 (4), 3763-3773, 2021 | 15 | 2021 |
| Limit cycles of discontinuous piecewise polynomial vector fields T de Carvalho, J Llibre, DJ Tonon Journal of Mathematical Analysis and Applications 449 (1), 572-579, 2017 | 11 | 2017 |
| Hopf-like bifurcations and asymptotic stability in a Class of 3D piecewise linear systems with applications R Cristiano, DJ Tonon, MQ Velter Journal of Nonlinear Science 31 (4), 65, 2021 | 10 | 2021 |
| Canonical forms for codimension one planar piecewise smooth vector fields with sliding region T Carvalho, JL Cardoso, DJ Tonon Journal of Dynamics and Differential Equations 30, 1899-1920, 2018 | 10 | 2018 |
| Asymptotic stability and bifurcations of 3D piecewise smooth vector fields T Carvalho, MA Teixeira, DJ Tonon Zeitschrift für angewandte Mathematik und Physik 67 (2), 31, 2016 | 9 | 2016 |
| Lower bounds for the number of limit cycles in a generalised Rayleigh–Liénard oscillator RD Euzébio, J Llibre, DJ Tonon Nonlinearity 35 (8), 3883, 2022 | 8 | 2022 |
| Crossing periodic orbits via first integrals J Llibre, DJ Tonon, MQ Velter International Journal of Bifurcation and Chaos 30 (11), 2050163, 2020 | 7 | 2020 |
| Detecting periodic orbits in some 3D chaotic quadratic polynomial differential systems T Carvalho, RD Euzebio, J Llibre, DJ Tonon Discrete and Continuous Dynamical Systems-Series B 21 (1), 1-11, 2016 | 7 | 2016 |
| Symmetric periodic orbits for the collinear charged 3-body problem J Llibre, DJ Tonon Journal of Mathematical Physics 58 (2), 2017 | 6 | 2017 |
| Structural stability and normal forms of piecewise smooth vector fields on R-3 T De Carvalho, DJ Tonon Publicationes Mathematicae-debrecen, 255-274, 2015 | 6 | 2015 |
| Global analysis of the dynamics of a piecewise linear vector field model for prostate cancer treatment T Carvalho, R Cristiano, DS Rodrigues, DJ Tonon Journal of Dynamical and Control Systems, 1-24, 2022 | 5 | 2022 |
