Higher order averaging theory for finding periodic solutions via Brouwer degree J Llibre, DD Novaes, MA Teixeira Nonlinearity 27 (3), 563, 2014 | 159 | 2014 |
On the birth of limit cycles for non-smooth dynamical systems J Llibre, DD Novaes, MA Teixeira Bulletin des Sciences Mathemàtiques 139, 229 - 244, 2015 | 142* | 2015 |
Averaging theory for discontinuous piecewise differential systems J Llibre, AC Mereu, DD Novaes Journal of differential equations 258 (11), 4007-4032, 2015 | 129 | 2015 |
Maximum number of limit cycles for certain piecewise linear dynamical systems J Llibre, DD Novaes, MA Teixeira Nonlinear Dynamics 82 (3), 1159-1175, 2015 | 118 | 2015 |
Limit cycles bifurcating from the periodic orbits of a discontinuous piecewise linear differentiable center with two zones J Llibre, DD Novaes, MA Teixeira International Journal of Bifurcation and Chaos 25 (11), 1550144, 2015 | 60 | 2015 |
New lower bound for the Hilbert number in piecewise quadratic differential systems LPC da Cruz, DD Novaes, J Torregrosa Journal of differential equations 266 (7), 4170-4203, 2019 | 57 | 2019 |
On extended Chebyshev systems with positive accuracy DD Novaes, J Torregrosa Journal of Mathematical Analysis and Applications 448 (1), 171-186, 2017 | 55 | 2017 |
Regularization of hidden dynamics in piecewise smooth flows DD Novaes, MR Jeffrey Journal of differential equations 259 (9), 4615-4633, 2015 | 48 | 2015 |
A simple solution to the Braga-Mello conjecture DD Novaes, E Ponce International Journal of Bifurcation and Chaos 25, 1550009 [7 pages], 2015 | 48 | 2015 |
A new result on averaging theory for a class of discontinuous planar differential systems with applications. J Itikawa, J Llibre, DD Novaes Revista Mathematica Iberoamericana 33 (4), 2017 | 47 | 2017 |
Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones J Llibre, DD Novaes, CAB Rodrigues Physica D: Nonlinear Phenomena 353, 1-10, 2017 | 45 | 2017 |
Persistence of periodic solutions for higher order perturbed differential systems via Lyapunov–Schmidt reduction MR Cândido, J Llibre, DD Novaes Nonlinearity 30 (9), 3560, 2017 | 33 | 2017 |
Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold JLR Bastos, CA Buzzi, J Llibre, DD Novaes Journal of differential equations 267 (6), 3748-3767, 2019 | 32 | 2019 |
The generic unfolding of a codimension-two connection to a two-fold singularity of planar Filippov systems DD Novaes, MA Teixeira, IO Zeli Nonlinearity 31 (5), 2083, 2018 | 28 | 2018 |
Shilnikov problem in Filippov dynamical systems D D Novaes, MA Teixeira Chaos: An Interdisciplinary Journal of Nonlinear Science 29 (6), 2019 | 25 | 2019 |
Sliding Shilnikov connection in Filippov-type predator–prey model T Carvalho, D Duarte Novaes, LF Gonçalves Nonlinear Dynamics 100 (3), 2973-2987, 2020 | 22 | 2020 |
An equivalent formulation of the averaged functions via Bell polynomials DD Novaes Extended Abstracts Spring 2016: Nonsmooth Dynamics, 141-145, 2017 | 21 | 2017 |
Improving the averaging theory for computing periodic solutions of the differential equations J Llibre, DD Novaes Zeitschrift für angewandte Mathematik und Physik 66, 1401-1412, 2015 | 20 | 2015 |
Lyapunov coefficients for monodromic tangential singularities in Filippov vector fields DD Novaes, LA Silva Journal of differential equations 300, 565-596, 2021 | 19 | 2021 |
Higher order Melnikov analysis for planar piecewise linear vector fields with nonlinear switching curve KS Andrade, OAR Cespedes, DR Cruz, DD Novaes Journal of differential equations 287, 1-36, 2021 | 19 | 2021 |