1. LLIBRE, J.; SANCHEZ, A. C. T.; TONON, D. J.. Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. , v.32, p.48, 2025.

2. CRISTIANO, R.; SANTOS, M. J.; TONON, D. J.. Melnikov functions of first and second order for 2-dimensional piecewise non-Hamiltonian systems with n regions. Publicationes Mathematicae Debrecen. , v.107, p.1 - 32, 2025.

3. GONÇALVES, LUIZ FERNANDO ; TEIXEIRA, MARCO ANTONIO ; TONON, DURVAL JOSÉ . Generic singularities of relay systems. NONLINEAR DYNAMICS, v. 114, p. 01-15, 2024.

4. Carvalho, T. , Novaes, D. D., Tonon, D. J., Sliding Mode on Tangential Sets of Filippov Systems, Journal of Nonlinear Science, v. 34, p. 01-18, 2024.

5. TONON, D. J.; SANTOS, M. J. . Structural Stability for 2-dimensional Piecewise Smooth Vector Fields where the Switching Manifold is a Double Discontinuity. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, v. 29, p. 1775-1808, 2023.

6. Carvalho, Tiago ; CRISTIANO, R. ; RODRIGUES, D. S. ; TONON, D.J. . Global analysis of the dynamics of a piecewise linear vector field model for prostate cancer treatment. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, v. 28, p. 375-398, 2022. 

7. EUZEBIO, R. D. ; LLIBRE, J. ; TONON, D. J. . Lower bounds for the number of limit cycles in a generalised Rayleigh-Liénard oscillator. NONLINEARITY, v. 35, p. 3883-3906, 2022.

8. Cristiano, R., Tonon, D. J., VELTER, M. Q.,  Hopf-Like Bifurcations and Asymptotic Stability in a Class of 3D Piecewise Linear Systems with Applications. Journal of Nonlinear Science, v. 31, p. 65, 2021. 

9. Carvalho, T., Cristiano, R., Rodrigues, D. S., Tonon, D. J., Global Analysis of a piecewise smooth epidemiological model of COVID-19. NONLINEAR DYNAMICS, v. 105, p. 3763-3773, 2021. 

10. Carvalho, T. ,  Cristiano, R. , Pagano, D. J.,  Tonon, D. J., Fold bifurcation of T-singularities and invariant manifolds in 3D piecewise-smooth dynamical systems. PHYSICA D-NONLINEAR PHENOMENA, v. 403, p. 132293, 2020. 

11. Cardoso,  J. L., Llibre, J.,  Novaes, D. D., Tonon, D. J., Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, v. 35, p. 490-514, 2020. 

12. Llibre, J., Tonon, D. J.,  Velter, M. Q. . Crossing Periodic Orbits via First Integrals. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 30, p. 2050163, 2020.

13. Carvalho, T. ,  Cristiano,  R., Gonçalves, L. F., Tonon, D. J., Global analysis of the dynamics of a mathematical model to intermittent HIV treatment. NONLINEAR DYNAMICS, v. 101, p. 719-739, 2020. 

14. Tonon, D. J., Martins, R.M. The chaotic behaviour of piecewise smooth differential equations on two-dimensional torus and sphere. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, v. 34, p. 356-373, 2019. 

15. Cristiano, R.,  Pagano, D. J., Carvalho, T., Tonon, D. J., Bifurcations at a degenerate two-fold singularity and crossing limit cycles. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 268, p. 115-140, 2019. 

16. Carvalho, T., Cardoso,  J. L. , Tonon, D. J., Canonical Forms for Codimension One Planar Piecewise Smooth Vector Fields with Sliding Region. Journal of Dynamics and Differential Equations, v. 30, p. 1899-1920, 2018. 

17. Tonon, D. J.,  Llibre, J. . The symmetric periodic orbits for the two-electron atom. LETTERS IN MATHEMATICAL PHYSICS, v. 108, p. 1851-1871, 2018. 

18. Tonon, D. J., Llibre, J. . Symmetric periodic orbits for the collinear charged 3-body problem. Journal of Mathematical Physics, v. 58, p. 022702, 2017. 

19. Carvalho, T., Llibre, J., Tonon, D. J., Limit cycles of discontinuous piecewise polynomial vector fields. Journal of Mathematical Analysis and Applications (Print), v. 449, p. 572-579, 2017. 

20. Carvalho,  T, Cristiano, R., Pagano, D. J., Tonon, D. J., Hopf and Homoclinic bifurcations on the sliding vector field of switching systems in R3 : A case study in power electronics. Physica. D, Nonlinear Phenomena (Print), p. 12-20, 2017. 

21. Carvalho, T., Euzebio, R. D., Teixeira, M.A. Tonon, D. J., Birth of limit cycles from a 3D triangular center of a piecewise smooth vector field. IMA Journal of Applied Mathematics, v. 00, p. 01-17, 2017. 

22. LLibre, J.,  Martins, R.  M., Tonon, D. J., Limit Cycles of Piecewise Smooth Differential Equations on Two Dimensional Torus. Journal of Dynamics and Differential Equations, v. 30, p. 1011-1027, 2017.

23. Carvalho, Tiago de, Euzebio, R. D., Llibre, J., Tonon, D. J.,Detecting periodic orbits in some 3D chaotic quadratic polynomial differential systems. Discrete and Continuous Dynamical Systems. Series B, v. 21, p. 1-11, 2016. 

24. Carvalho, Tiago, Tonon, D. J., Teixeira, M.A. . Asymptotic stability and bifurcations of 3D piecewise smooth vector fields. Zeitschrift fur Angewandte Mathematik und Physik (Printed ed.), v. 67, p. 31, 2016. 

25. Carvalho, Tiago, Tonon, D. J., Structural stability and normal forms of piecewise smooth vector fields on R3.. Publicationes Mathematicae (Debrecen), v. 86, p. 255-274, 2015. 

26. Pessoa, C.G., Tonon, D. J., Piecewise smooth vector fields in R3 at infinity. Journal of Mathematical Analysis and Applications (Print), v. 427, p. 841-855, 2015. 

27. Carvalho, Tiago, Tonon, D. J., Normal Forms for Codimension One Planar Piecewise Smooth Vector Fields. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, v. 24, p. 1450090, 2014. 

28. Jacquemard A.,  Teixeira, M. A., Tonon, D. J., Stability conditions in piecewise smooth dynamical systems at a two-fold singularity. Journal of Dynamical and Control Systems, v. 19, p. 47-67, 2013. 

29. Jacquemard, Alain, Tonon, D. J., Coupled systems of non-smooth differential equations. Bulletin des Sciences Mathématiques (Paris. 1885), v. 136, p. 239-255, 2012.

30. Jacquemard A.,  Teixiera, M. A., Tonon, D. J., Piecewise Smooth Reversible Dynamical Systems at a two-fold Singularity, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, v. 22, p. 1250192, 2012. 

31. Tonon, D. J., Carvalho, Tiago . Generic Bifurcations of Planar Filippov Systems via Geometric Singular Perturbations. Bulletin of the Belgian Mathematical Society Simon Stevin, v. 18, p. 861-881, 2011.  

32. Tonon, D. J., Buzzi, Claudio A., Quadratic Planar Systems with Two Parallel Invariant Straight Lines, Qualitative Theory of Dynamical Systems, v. 7, p. 295-316, 2009.

Papers in proceedings:

1. Teixeira, M. A., Tonon, D. J., Asymptotic Stability in Some Generic Classes of Three-Dimensional Discontinuous Dynamical Systems. In: Ortegon Gallego, Francisco, Garcia Garcia, Juan Ignacio. (Org.). RSME Springer Series. 4ed.: Springer International Publishing, 2020, v. , p. 21-33. 

2. Martins, R. M., Tonon, D. J., The Chaotic Behavior of Piecewise Smooth Dynamical Systems on Torus and Sphere. In: Alessandro Colombo, Mike Jeffrey, J. Tomás Lázaro, Josep M. Olm.. (Org.). Trends in Mathematics. 1ed.: Springer International Publishing, 2017, v. 8, p. 125-128.

Preprints:

1.  Carvalho T., Gonçalves L.  F., Martins R. M. , Tonon D. J., Completely integrable three dimensional linear differential systems and the creation of limit cycles;

2. Euzébio R. D., Teixeira M. A. , Tonon D.J., Generic one-parameter families of 3-dimensional Filippov Systems;

3. Gonçalves L.  F.,  Sánchez A. C. T., Tonon D. J., Limit cycles of discontinuous piecewise hybrid rigid systems separated by a straight line;

4. Buzzi C., Tonon, D.J., Torregrosa, J., Limit cycles in Hamiltonian piecewise smooth vector fields;

5. Batista W. M., Tonon D. J., 2D and 3D low codimension symmetric piecewise smooth vector fields;

6. Llibre J., Sánchez A. C. T., Tonon D. J., Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line;

7. Euzébio R. D., Llibre J., Tonon D. J., Limit cycles of piecewise linear systems in R3 having zero as an eigenvalue of multiplicity 3 separated by a plane;

8. Silva L. L. and Tonon D. J., Estrutura topológica do retrato de fase para campos vetoriais lineares em R3 e aplicações;

9. Carvalho T., RODRIGUES, D. S. and Tonon D. J., Bifurcation analysis of the tangential switching mode in a non-monotonic tumor growth model;

10. Cristiano, R., Tonon, D. J., VELTER, M. Q., Sliding dynamics and invariant manifolds of 3D piecewise linear systems with parallel tangency lines;

11. Batista W. M.,  Llibre J. and Tonon D. J., Sewing Limit Cycles in Discontinuous Piecewise Smooth Vector Fields with Two Linear Centers and a Coupled Rigid Center.