Nonlinear analysis in a Lorenz-like system FS Dias, LF Mello, JG Zhang Nonlinear Analysis: Real World Applications 11 (5), 3491-3500, 2010 | 80 | 2010 |
Hopf bifurcations and small amplitude limit cycles in Rucklidge systems FS Dias, LF Mello Electron. J. Differ. Equ 48, 1-9, 2013 | 23 | 2013 |
On the stability of the equilibria of the Rikitake system D de Carvalho Braga, FS Dias, LF Mello Physics Letters A 374 (42), 4316-4320, 2010 | 20 | 2010 |
On the geometry of the cross-cap in Minkowski 3-space and binary differential equations FS Dias, F Tari Tohoku Mathematical Journal, Second Series 68 (2), 293-328, 2016 | 16 | 2016 |
Analysis of a quadratic system obtained from a scalar third order differential equation FS Dias, LF Mello Electron. J. Differential Equations 2010 (161), 1-25, 2010 | 15 | 2010 |
The center-focus problem and small amplitude limit cycles in rigid systems FS Dias, LF Mello Discrete Contin. Dyn. Syst 32, 1627-1637, 2012 | 14 | 2012 |
Plane curve diagrams and geometrical applications FS Dias, J Nuño-Ballesteros Quarterly Journal of Mathematics 59 (3), 287-310, 2008 | 14 | 2008 |
Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers FS Dias, J Llibre, C Valls Mathematics and Computers in Simulation 144, 60-77, 2018 | 13 | 2018 |
On vertices and inflections of plane curves FS Dias, F Tari J. Singul 17, 70-80, 2018 | 10 | 2018 |
Global Phase Portraits for a Planar -Equivariant Kukles Systems of Degree 3 FS Dias, RM Ribeiro, C Valls International Journal of Bifurcation and Chaos 30 (12), 2050164, 2020 | 6 | 2020 |
Centers on center manifolds in a quadratic system obtained from a scalar third-order differential equation WF Cunha, FS Dias, LF Mello Electronic Journal of Differential Equations 2011 (136), 1-6, 2011 | 6 | 2011 |
The power-law dependence between the matter-radiation and Hubble anisotropies FS Dias, GB Santos, LG Gomes, LF Mello International Journal of Modern Physics D 31 (07), 2250049, 2022 | 5 | 2022 |
Geometry of plane curves FS Dias, LF Mello Bulletin des sciences mathematiques 135 (4), 333-344, 2011 | 5 | 2011 |
Global Phase Portraits for the Kukles Systems of Degree 3 with ℤ2-Reversible Symmetries. FS Dias, RM Ribeiro, C Valls International Journal of Bifurcation & Chaos in Applied Sciences …, 2021 | 4 | 2021 |
When parallels and meridians are limit cycles for polynomial vector fields on quadrics of revolution in the Euclidean 3-space FS Dias, J Llibre, LF Mello International Journal of Bifurcation and Chaos 26 (09), 1650160, 2016 | 4 | 2016 |
On the geometry of the cross-cap in the Minkowski 3-space FS Dias, F Tari preprint, 2012 | 4 | 2012 |
Kukles systems of degree three with global centers FS Dias, LF Mello, C Valls Bulletin of the Brazilian Mathematical Society, New Series 54 (4), 46, 2023 | 3 | 2023 |
A formula relating inflections, bitangencies and the Milnor number of a plane curve F Dias, R Oset Sinha, MA Ruas Proceedings of the American Mathematical Society 142 (7), 2353-2368, 2014 | 3 | 2014 |
Do isotropic tidal forces imply isotropic cosmic expansion? FS Dias, LG Gomes, LF Mello The European Physical Journal C 83 (3), 201, 2023 | 2 | 2023 |
Globally asymptotically stable equilibrium points in Kukles systems FS Dias, LF Mello Qualitative theory of dynamical systems 19, 1-7, 2020 | 2 | 2020 |