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Da Silva, Paulo Ricardo

Author ID: da-silva.paulo-ricardo Recent zbMATH articles by "Da Silva, Paulo Ricardo"
Published as: da Silva, Paulo R.; da Silva, Paulo Ricardo; Da Silva, Paulo R.; Da Silva, Paulo Ricardo; da Silva, P. R.; Ricardo da Silva, Paulo
External Links: MGP · ORCID

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 405 times in 267 Documents Cited by Year
Regularization of discontinuous vector fields on \({\mathbb{R}^3}\) via singular perturbation. Zbl 1127.34003
Llibre, Jaume; da Silva, Paulo R.; Teixeira, Marco A.
51
2007
A singular approach to discontinuous vector fields on the plane. Zbl 1116.34008
Buzzi, Claudio A.; da Silva, Paulo R.; Teixeira, Marco A.
46
2006
On the global dynamics of the Rabinovich system. Zbl 1147.37023
Llibre, Jaume; Messias, Marcelo; da Silva, Paulo R.
42
2008
Study of singularities in nonsmooth dynamical systems via singular perturbation. Zbl 1167.34304
Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A.
36
2009
Global dynamics of the Lorenz system with invariant algebraic surfaces. Zbl 1204.34069
Llibre, Jaume; Messias, Marcelo; Da Silva, Paulo Ricardo
32
2010
On the number of critical periods for planar polynomial systems. Zbl 1157.34021
Cima, Anna; Gasull, Armengol; da Silva, Paulo R.
24
2008
Sliding vector fields via slow-fast systems. Zbl 1166.34001
Llibre, Jaume; Teixeira, Marco A.; da Silva, Paulo R.
24
2008
Global dynamics in the Poincaré ball of the Chen system having invariant algebraic surfaces. Zbl 1270.34130
Llibre, Jaume; Messias, Marcelo; Ricardo da Silva, Paulo
20
2012
3-dimensional Hopf bifurcation via averaging theory. Zbl 1137.37026
Llibre, Jaume; Buzzi, Claudio A.; da Silva, Paulo R.
18
2007
Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane. Zbl 1287.34006
Buzzi, C. A.; de Carvalho, T.; da Silva, P. R.
17
2013
Regularization of discontinuous foliations: blowing up and sliding conditions via Fenichel theory. Zbl 1383.34025
Panazzolo, Daniel; da Silva, Paulo R.
14
2017
Sliding vector fields for non-smooth dynamical systems having intersecting switching manifolds. Zbl 1310.34019
Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A.
13
2015
Global dynamics of stationary solutions of the extended Fisher-Kolmogorov equation. Zbl 1272.34017
Llibre, Jaume; Messias, Marcelo; da Silva, Paulo R.
8
2011
Implicit differential equations with impasse singularities and singular perturbation problems. Zbl 1258.34021
Cardin, Pedro Toniol; Da Silva, Paulo Ricardo; Teixeira, Marco Antonio
6
2012
Three time scale singular perturbation problems and nonsmooth dynamical systems. Zbl 1316.34059
Cardin, Pedro T.; Da Silva, Paulo R.; Teixeira, Marco A.
6
2014
Singular perturbation problems for time-reversible systems. Zbl 1088.34005
Buzzi, Claudio A.; da Silva, Paulo Ricardo; Teixeira, Marco Antonio
5
2005
Slow-fast systems on algebraic varieties bordering piecewise-smooth dynamical systems. Zbl 1252.34016
Buzzi, Claudio A.; da Silva, Paulo R.; Teixeira, Marco A.
5
2012
Sliding solutions of second-order differential equations with discontinuous right-hand side. Zbl 1385.34015
Da Silva, Clayton E. L.; Da Silva, Paulo R.; Jacquemard, Alain
5
2017
On singularly perturbed Filippov systems. Zbl 1320.34022
Cardin, Pedro T.; da Silva, Paulo R.; Teixeira, Marco A.
5
2013
On the dynamics of the Bianchi IX system. Zbl 1189.82077
Buzzi, Claudio A.; Llibre, Jaume; da Silva, Paulo R.
4
2007
Piecewise-smooth slow-fast systems. Zbl 1465.34022
da Silva, Paulo R.; de Moraes, Jaime R.
3
2021
Nonlinear sliding of discontinuous vector fields and singular perturbation. Zbl 1502.34024
da Silva, P. R.; Meza-Sarmiento, I. S.; Novaes, D. D.
3
2022
Asymptotic expansion of the heteroclinic bifurcation for the planar normal form of the 1:2 resonance. Zbl 1334.34122
Roberto, Luci A. F.; da Silva, Paulo R.; Torregrosa, Joan
3
2016
Persistence of periodic orbits with sliding or sewing by singular perturbation. Zbl 1312.34092
Cardin, Pedro T.; de Moraes, Jaime R.; da Silva, Paulo R.
3
2015
Piecewise bounded quadratic systems in the plane. Zbl 1335.34036
Llibre, Jaume; da Silva, Clayton E. L.; da Silva, Paulo R.
2
2016
Peixoto’s theorem for vector fields on \(\mathbb S^2\) with impasse points. Zbl 1285.34053
Buzzi, Claudio A.; da Silva, Paulo R.; Medrado, João C. R.
2
2013
Geometric singular perturbation theory for non-smooth dynamical systems. Zbl 1323.34021
Cardin, Pedro T.; da Silva, Paulo R.; Teixeira, Marco A.
2
2014
Canard cycles and homoclinic bifurcation in a 3 parameter family of vector fields on the plane. Zbl 0932.37005
da Silva, Paulo Ricardo
1
1999
Limit cycles for singular perturbation problems via inverse integrating factor. Zbl 1229.34066
Llibre, Jaume; Medrado, João C. R.; da Silva, Paulo R.
1
2008
Resolution of singularities of 2-dimensional real analytic constrained differential systems. Zbl 1504.34021
Perez, Otavio Henrique; da Silva, Paulo Ricardo
1
2022
Bifurcations of the Riccati quadratic polynomial differential systems. Zbl 1471.37026
Llibre, Jaume; Lopes, Bruno D.; da Silva, Paulo R.
1
2021
Slow-fast systems and sliding on codimension 2 switching manifolds. Zbl 1429.34065
Da Silva, Paulo Ricardo; Nunes, Willian Pereira
1
2019
Singularly perturbed quadratic polynomial differential systems on the plane. Zbl 1413.37036
Llibre, Jaume; da Silva, Paulo Ricardo
1
2007
Nonlinear sliding of discontinuous vector fields and singular perturbation. Zbl 1502.34024
da Silva, P. R.; Meza-Sarmiento, I. S.; Novaes, D. D.
3
2022
Resolution of singularities of 2-dimensional real analytic constrained differential systems. Zbl 1504.34021
Perez, Otavio Henrique; da Silva, Paulo Ricardo
1
2022
Piecewise-smooth slow-fast systems. Zbl 1465.34022
da Silva, Paulo R.; de Moraes, Jaime R.
3
2021
Bifurcations of the Riccati quadratic polynomial differential systems. Zbl 1471.37026
Llibre, Jaume; Lopes, Bruno D.; da Silva, Paulo R.
1
2021
Slow-fast systems and sliding on codimension 2 switching manifolds. Zbl 1429.34065
Da Silva, Paulo Ricardo; Nunes, Willian Pereira
1
2019
Regularization of discontinuous foliations: blowing up and sliding conditions via Fenichel theory. Zbl 1383.34025
Panazzolo, Daniel; da Silva, Paulo R.
14
2017
Sliding solutions of second-order differential equations with discontinuous right-hand side. Zbl 1385.34015
Da Silva, Clayton E. L.; Da Silva, Paulo R.; Jacquemard, Alain
5
2017
Asymptotic expansion of the heteroclinic bifurcation for the planar normal form of the 1:2 resonance. Zbl 1334.34122
Roberto, Luci A. F.; da Silva, Paulo R.; Torregrosa, Joan
3
2016
Piecewise bounded quadratic systems in the plane. Zbl 1335.34036
Llibre, Jaume; da Silva, Clayton E. L.; da Silva, Paulo R.
2
2016
Sliding vector fields for non-smooth dynamical systems having intersecting switching manifolds. Zbl 1310.34019
Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A.
13
2015
Persistence of periodic orbits with sliding or sewing by singular perturbation. Zbl 1312.34092
Cardin, Pedro T.; de Moraes, Jaime R.; da Silva, Paulo R.
3
2015
Three time scale singular perturbation problems and nonsmooth dynamical systems. Zbl 1316.34059
Cardin, Pedro T.; Da Silva, Paulo R.; Teixeira, Marco A.
6
2014
Geometric singular perturbation theory for non-smooth dynamical systems. Zbl 1323.34021
Cardin, Pedro T.; da Silva, Paulo R.; Teixeira, Marco A.
2
2014
Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane. Zbl 1287.34006
Buzzi, C. A.; de Carvalho, T.; da Silva, P. R.
17
2013
On singularly perturbed Filippov systems. Zbl 1320.34022
Cardin, Pedro T.; da Silva, Paulo R.; Teixeira, Marco A.
5
2013
Peixoto’s theorem for vector fields on \(\mathbb S^2\) with impasse points. Zbl 1285.34053
Buzzi, Claudio A.; da Silva, Paulo R.; Medrado, João C. R.
2
2013
Global dynamics in the Poincaré ball of the Chen system having invariant algebraic surfaces. Zbl 1270.34130
Llibre, Jaume; Messias, Marcelo; Ricardo da Silva, Paulo
20
2012
Implicit differential equations with impasse singularities and singular perturbation problems. Zbl 1258.34021
Cardin, Pedro Toniol; Da Silva, Paulo Ricardo; Teixeira, Marco Antonio
6
2012
Slow-fast systems on algebraic varieties bordering piecewise-smooth dynamical systems. Zbl 1252.34016
Buzzi, Claudio A.; da Silva, Paulo R.; Teixeira, Marco A.
5
2012
Global dynamics of stationary solutions of the extended Fisher-Kolmogorov equation. Zbl 1272.34017
Llibre, Jaume; Messias, Marcelo; da Silva, Paulo R.
8
2011
Global dynamics of the Lorenz system with invariant algebraic surfaces. Zbl 1204.34069
Llibre, Jaume; Messias, Marcelo; Da Silva, Paulo Ricardo
32
2010
Study of singularities in nonsmooth dynamical systems via singular perturbation. Zbl 1167.34304
Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A.
36
2009
On the global dynamics of the Rabinovich system. Zbl 1147.37023
Llibre, Jaume; Messias, Marcelo; da Silva, Paulo R.
42
2008
On the number of critical periods for planar polynomial systems. Zbl 1157.34021
Cima, Anna; Gasull, Armengol; da Silva, Paulo R.
24
2008
Sliding vector fields via slow-fast systems. Zbl 1166.34001
Llibre, Jaume; Teixeira, Marco A.; da Silva, Paulo R.
24
2008
Limit cycles for singular perturbation problems via inverse integrating factor. Zbl 1229.34066
Llibre, Jaume; Medrado, João C. R.; da Silva, Paulo R.
1
2008
Regularization of discontinuous vector fields on \({\mathbb{R}^3}\) via singular perturbation. Zbl 1127.34003
Llibre, Jaume; da Silva, Paulo R.; Teixeira, Marco A.
51
2007
3-dimensional Hopf bifurcation via averaging theory. Zbl 1137.37026
Llibre, Jaume; Buzzi, Claudio A.; da Silva, Paulo R.
18
2007
On the dynamics of the Bianchi IX system. Zbl 1189.82077
Buzzi, Claudio A.; Llibre, Jaume; da Silva, Paulo R.
4
2007
Singularly perturbed quadratic polynomial differential systems on the plane. Zbl 1413.37036
Llibre, Jaume; da Silva, Paulo Ricardo
1
2007
A singular approach to discontinuous vector fields on the plane. Zbl 1116.34008
Buzzi, Claudio A.; da Silva, Paulo R.; Teixeira, Marco A.
46
2006
Singular perturbation problems for time-reversible systems. Zbl 1088.34005
Buzzi, Claudio A.; da Silva, Paulo Ricardo; Teixeira, Marco Antonio
5
2005
Canard cycles and homoclinic bifurcation in a 3 parameter family of vector fields on the plane. Zbl 0932.37005
da Silva, Paulo Ricardo
1
1999
all top 5

Cited by 332 Authors

22 Llibre, Jaume
21 Da Silva, Paulo Ricardo
14 Messias, Marcelo
13 Teixeira, Marco Antonio
12 Jeffrey, Mike R.
11 Uldall Kristiansen, K.
8 Dieci, Luca
8 Liu, Yongjian
8 Pi, Dingheng
8 Wei, Zhouchao
7 Zhang, Xiang
6 Algaba, Antonio
6 Buzzi, Claudio Aguinaldo
6 Cardin, Pedro Toniol
6 Han, Maoan
6 Novaes, Douglas Duarte
6 Rodríguez-Luis, Alejandro J.
6 Valls Anglés, Cláudia
5 Merino, Manuel
5 Mo, Jiaqi
5 Ni, Mingkang
5 Reinol, Alisson C.
5 Wang, Haijun
5 Yu, Jiang
4 Gasull, Armengol
4 Guglielmi, Nicola
4 Huang, Wentao
4 Jelbart, Samuel
4 Li, Shimin
4 Perez, Otavio Henrique
4 Potapov, Dmitriĭ Konstantinovich
4 Qin, Wenjie
4 Romanovskiĭ, Valeriĭ Georgievich
4 M-Seara, Tere
4 Simpson, David John Warwick
4 Torregrosa, Joan
4 Zhang, Weinian
3 Bonet-Revés, Carles
3 de Carvalho, Tiago
3 Elia, Cinzia
3 Feng, Zhaosheng
3 Fernández-Sánchez, Fernando
3 Gouveia, Márcio R. Alves
3 Hairer, Ernst
3 Hogan, S. John
3 Huang, Lihong
3 Kühn, Christian
3 Li, Wenxiu
3 Liu, Xinzhi
3 Lopez, Luciano
3 Lu, Lianghaolong
3 Peng, Linping
3 Rondón, Gabriel
3 Tan, Xuewen
3 Wang, Aili
3 Wang, Jiafu
3 Wang, Zhen
3 Wechselberger, Martin
3 Wei, Lijun
3 Wu, Yusen
3 Xiao, Yanni
3 Yang, Qian
3 Yang, Qigui
3 Yang, Shuangling
3 Zhang, Wei
3 Zhao, Yulin
2 Antali, Mate
2 Aybar, Orhan Ozgur
2 Barrio, Roberto
2 Baskov, O. V.
2 Blesa, Fernando
2 Bonet, Carles
2 Bossolini, Elena
2 Brøns, Morten
2 Cândido, Murilo R.
2 Cen, Xiuli
2 Chen, Biyu
2 Chen, Hebai
2 Chen, Lihua
2 Chen, Xingwu
2 de Carvalho Reinol, Alisson
2 de Góes Grulha, Nivaldo jun.
2 De Maesschalck, Peter
2 de Moraes, Jaime R.
2 de Rezende, Ketty Abaroa
2 Difonzo, Fabio Vito
2 Domínguez-Moreno, María C.
2 Euzébio, Rodrigo D.
2 García, Christian Cortés
2 Glendinning, Paul Alexander
2 Gonçalves, Luiz Fernando
2 Huang, Bo
2 Li, Lijie
2 Li, Na
2 Li, Xianyi
2 Lima, Dahisy Valadão de Souza
2 Liu, Changjian
2 Liu, Lingling
2 Makarenkov, Oleg Yuryĭovych
2 Medrado, João C. R.
...and 232 more Authors
all top 5

Cited in 80 Serials

36 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
17 Journal of Differential Equations
15 Nonlinear Dynamics
13 SIAM Journal on Applied Dynamical Systems
10 Physica D
10 Discrete and Continuous Dynamical Systems. Series B
8 Journal of Dynamics and Differential Equations
7 Journal of Mathematical Analysis and Applications
7 Nonlinearity
7 Bulletin des Sciences Mathématiques
7 Qualitative Theory of Dynamical Systems
6 Applied Mathematics and Computation
6 Journal of Nonlinear Science
6 Communications in Nonlinear Science and Numerical Simulation
6 Journal of Dynamical and Control Systems
5 Physics Letters. A
4 Mathematical Methods in the Applied Sciences
4 Nonlinear Analysis. Real World Applications
3 Journal of Computational and Applied Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Applied Mathematics and Mechanics. (English Edition)
3 Differential Equations
3 International Journal of Geometric Methods in Modern Physics
2 Computers & Mathematics with Applications
2 Journal of Mathematical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Chaos, Solitons and Fractals
2 Automatica
2 Mathematics and Computers in Simulation
2 Acta Mathematicae Applicatae Sinica. English Series
2 European Journal of Applied Mathematics
2 Computational Mathematics and Mathematical Physics
2 Topological Methods in Nonlinear Analysis
2 Discrete and Continuous Dynamical Systems
2 Mathematical Problems in Engineering
2 Differential Equations and Dynamical Systems
2 Abstract and Applied Analysis
2 Chaos
2 Journal of Nonlinear Mathematical Physics
2 Dynamical Systems
2 Nonlinear Analysis. Hybrid Systems
2 Journal of Applied Analysis and Computation
1 Journal of Computational Physics
1 Journal of the Franklin Institute
1 Mathematical Notes
1 Physica A
1 Physics Reports
1 Bulletin of Mathematical Biology
1 Journal of Geometry and Physics
1 Mathematische Nachrichten
1 Numerische Mathematik
1 Quarterly of Applied Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Chinese Annals of Mathematics. Series B
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 International Journal of Adaptive Control and Signal Processing
1 Numerical Algorithms
1 Automation and Remote Control
1 SIAM Review
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Electronic Journal of Differential Equations (EJDE)
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Turkish Journal of Mathematics
1 Journal of Applied Analysis
1 Journal of Shanghai University
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Revista de Matemática: Teoría y Aplicaciones
1 Nonlinear Dynamics and Systems Theory
1 Entropy
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Advances in Difference Equations
1 Boundary Value Problems
1 Journal of Physics A: Mathematical and Theoretical
1 Chinese Journal of Physics (Taipei)
1 Discrete and Continuous Dynamical Systems. Series S
1 Science China. Mathematics
1 The Journal of Mathematical Neuroscience
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year