Universitat Autňnoma de Barcelona
Departament de Matemŕtiques
Personal Pages
Joan C. Artés
Published Articles
1) Ye, Yan Qian; Ye, Wei Yin;
Artés, Joan C.:
Bifurcation of saddle-node and separatrix cycle with the variation of the
parameter in a certain quadratic differential system. Ann. Differential
Equations 5 (1989), no. 1.
2) Artés, Joan C.: Sistems Diferencials Quadratics. Ph. D. UAB (1991)
3) Artés, Joan C.;
Llibre, Jaume: Quadratic Hamiltonian vector fields. J. Differential
Equations 107 (1994), no. 1. (Abstract)
4) Artés, Joan C.;
Llibre, Jaume: Phase portraits for quadratic systems having a focus and one
antisaddle. Rocky Mountain J. Math. 24 (1994), no. 3. (Abstract)
5) Artés, Joan C.;
Llibre, Jaume: Corrigendum: "Quadratic Hamiltonian vector fields"
[J. Differential Equations 107 (1994), no. 1; MR 95a:58071]. J.
Differential Equations 129 (1996), no. 2
6) Artés, Joan C.;
Llibre, Jaume: On the number of slopes of invariant straight lines for
polynomial differential systems. Nanjing Daxue Xuebao Shuxue Bannian Kan 13
(1996), no. 2. (Abstract)
7) Artés, Joan C.;
Llibre, Jaume: Quadratic vector fields with a weak focus of third order. Publicacions Matemŕtiques 41(1997), no. 1. (Abstract)
8) Artés, Joan C.; Kooij, Robert
E.; Llibre, Jaume:
Structurally stable quadratic vector fields. Mem. Amer. Math. Soc. 134 (1998),
no. 639, viii+108 pp. 34C05 (34D30 58F21). (Abstract)
9) Artés, Joan C.;
Grünbaum, B.; Llibre, Jaume: On the number of invariant straight lines for
polynomial differential systems. Pacific J.
Math. 184 (1998), no. 2. (Abstract)
10) Cherkas, Leonid
A.; Artés, Joan C.; Llibre, Jaume: Quadratic systems with limit cycles of
normal size. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica
(2003), no. 41. (Abstract)
11) Artés, Joan C.;
Llibre, Jaume: Statistical measure of quadratic systems. Resenhas
(2003), no. 6. (Abstract)
12) Dumortier, F.; Llibre, Jaume; Artés, Joan C.: Qualitative
Theory of Planar Differential Systems. Springer-Verlag, Berlin
(2006), BOOK ISBN: 3-540-32893-9. (Preface)
13) Artés, Joan C.;
Llibre, Jaume; Schlomiuk, Dana: The geometry of quadratic differential
systems with a weak focus of second order. Int. J. Bifurcation and Chaos 16(11) (2006). (additional info)
14) Artés, Joan C.;
Llibre, Jaume; Medrado, J.C.: Nonexistence of limit cycles for a class of structurally stable
quadratic vector fields. Discrete Contin. Dyn. Syst. 17 (2007). (Abstract)
15) Artés, Joan C.;
Llibre, Jaume; Vulpe, Nicolae: Quadratic
systems with a rational first integral of degree 2: a complete
classification in the coefficient space $R^{12}$. Rendiconti del
Circolo matematico di Palermo 56 (2007). (Abstract)
16) Artés, Joan C.;
Llibre, Jaume; Vulpe, Nicolae: Singular points of quadratic systems: a complete classification
in the coefficient space $R^{12}$. Int. J.
Bifurcation and Chaos 18(2) (2008). (Abstract)
17) Artés, Joan C.;
Llibre, Jaume; Vulpe, Nicolae: When singular
points determine quadratic systems. Electron. J. Differential
Equations 82 (2008). (Abstract)
18) Artés, Joan C.; Dumortier, Freddy;
Llibre, Jaume: Limit cycles
near hyperbolas in quadratic systems. J. Differential Equations
246(1) (2009). (Abstract)
19) Artés, Joan C.;
Llibre, Jaume; Vulpe, Nicolae: Quadratic
systems with a polynomial first integral: a complete classification
in the coefficient space $R^{12}$ J. Differential Equations
246(9) (2009). (Abstract)
20) Artés, Joan C.;
Llibre, Jaume; Vulpe, Nicolae: Quadratic
systems with a rational first integral of degree 3: a complete
classification in the coefficient space $R^{12}$ Rendiconti del
Circolo matematico di Palermo 59 (2010). (Abstract)
Artés, Joan C.;
Llibre, Jaume; Schlomiuk, Dana: 21) The geometry
of quadratic Differential systems with a weak focus and an invariant
straight line. Int. J. Bifurcation and Chaos 20(11) (2010). (additional info)
22) Artés, Joan C.;
Llibre, Jaume; Teixeira, Marco Antonio: A universal
constant for semistable limit cycles. Computational and Applied
Mathematics 30 (2011). (Abstract)
23) Artés, Joan C.;
Llibre, Jaume; Vulpe, Nicolae: Complete geometric
invariant study of two classes of quadratic systems. Electronic
Journal of Differential Equations 9 (2012). (Abstract)
24) Artés, Joan C.;
Llibre, Jaume; Vulpe, Nicolae: Quadratic systems
with an integrable saddle: A complete classification in the
coefficient space $R^{12}$. Nonlinear Analysis 75(14) (2012). (Abstract)
25) Artés, Joan C.; Rezende,
Alex; Oliveira, Regilene: Global phase portraits of quadratic polynomial
differential systems with a semi--elemental triple node. Int. Journal of Bifurcation and chaos
23 (2013). (additional
info)
26) Artés, Joan C.;
Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae: Configurations of singularities for quadratic differential systems
with total finite multiplicity lower than 2. Bul. Acad. Stiinte
Repub. Mold. Mat. 71 (2013). (Abstract)
27) Artés, Joan C.;
Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae: Geometric configurations of singularities for quadratic
differential systems with three distinct real simple finite
singularities. J. Fixed Point Theory Appl. 14 (2013). (Abstract)
28) Artés, Joan C.;
Llibre, Jaume; Medrado, Joao C.; Teixeira, Marco Antonio: Piecewise linear differential systems with two real
saddles. Mathematics and Computers in Simulation 95 (2014).
29) Artés, Joan C.; Rezende,
Alex; Oliveira, Regilene: The
geometry of quadratic polynomial differential systems with a finite
and an infinite saddle-node (A,B). Int. Journal of Bifurcation and
chaos 24(4) (2014). (additional
info)
30) Artés, Joan C.;
Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae: Geometric configurations of singularities for quadratic
differential systems with total finite multiplicity $m_f=
2$. Electronic Journal of Differential Equations 159 (2014). (Abstract)
31) Artés, Joan C.;
Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae: Geometric configurations of singularities for quadratic
differential systems with total multiplicity three and at most two
real singularities. Qual. Theory Dyn. Syst. 13 (2014). (Abstract)
32) Artés, Joan C.;
Llibre, Jaume; Rezende, Alex; Schlomiuk, Dana; Vulpe, Nicolae: Global configurations of singularities for quadratic
differential systems with exactly two finite singularities of total
multiplicity four. Electronic Journal of Qualitative Theory of
Differential Equations 60 (2014). (Abstract)
33) Artés, Joan C.; Rezende,
Alex; Oliveira, Regilene: The
geometry of quadratic polynomial differential systems with a finite
and an infinite saddle-node (C). Int. Journal of Bifurcation and
chaos 25 (2015). (additional
info)
34) Artés, Joan C.;
Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae: From topological to geometric equivalence in the classification of
singularities at infinity for quadratic vector fields. Rocky
Mountain Journal of Mathematics 45 (2015). (Abstract)
35) Artés, Joan C.;
Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae: Global configurations of singularities for quadratic differential
systems with exactly three finite singularities of total
multiplicity four. Electronic Journal of Qualitative Theory of
Differential Equations 49 (2015). (Abstract)
36) Artés, Joan C.; Rezende,
Alex; Oliveira, Regilene: Topological Classification of Quadratic Polynomial Differential
Systems with a Finite Semi Elemental Triple Saddle. Int. Journal of
Bifurcation and chaos 26(11) (2016). (additional
info)
37) Artés, Joan C.;
Itikawa, Jackson; Llibre, Jaume: Uniform
isochronous cubic and quartic centers: Revisited. Journal of
Computational and Applied Mathematics 313 (2017).
38) Artés, Joan C.; Llibre, Jaume; Rezende,
Alex: Structurally unstable quadratic vector fields of codimension one. Birkhäuser/Springer, Cham, ISBN: 98-3-319-92116-7, (2018). (Abstract)
39) Artés, Joan C.; Llibre, Jaume; Valls, Claudia: Dynamics of the
Higgins-Selkov and Selkov systems. Chaos, Solitons and Fractals
114 (2018). (Abstract)
40) Artés, Joan C.; Braum, Francisco; Llibre, Jaume: The phase
portrait of the Hamiltonian system associated to a Pinchuk map. Anais da Academia Brasileira de Ciencias 90(3) (2018).
41) Artés, Joan C.;
Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae: Global Topological Configurations of Singularities for the Whole
Family of Quadratic Differential Systems. Qualitative Theory of
Dynamical Systems 19(51) (2020). (Abstract)
42) Artés, Joan C.; Rezende,
Alex; Mota, Marcos C.: Quadratic differential systems with a finite saddle-node and an infinite saddle-node (1,1)SN-(A). Int. Journal of
Bifurcation and chaos 31 (2) (2021). (additional
info)
43) Artés, Joan C.; Mota, Marcos C.; Rezende,
Alex: Structurally unstable quadratic vector fields of codimension two: families possessing a finite saddle-node and an infinite saddle-node. Electron. J. Qual. Theory Differ. Equ. 35 (2021). (Abstract)
44) Artés, Joan C.;
Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae: Invariant conditions for phase portraits of quadratic systems with
complex conjugate invariant lines meeting at a finite point. Rend.
Circ. Mat. Palermo 70(2) (2021). (Abstract)
45) Artés, Joan C.; Rezende,
Alex; Mota, Marcos C.: Quadratic differential systems with a finite saddle-node and an infinite saddle-node (1,1)SN-(B). Int. Journal of
Bifurcation and chaos 31 (9) (2021). (additional
info)
46) Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae
: Geometric configurations of singularities of planar polynomial differential systems—a global classification in the quadratic case. Birkhäuser/Springer, Cham, ISBN:978-3-030-50569-1; 978-3-030-50570-7, (2021). (Abstract)
47) Artés, Joan C.; Oliveira, Regilene; Rezende,
Alex: Structurally Unstable Quadratic Vector Fields of Codimension Two:
Families Possessing Either a Cusp Point or Two Finite Saddle-Nodes. Journal of Dynamics and Differential Equations ISSN 1040-7294 DOI
10.1007/s10884-020-09871-2 33 (4) (2021). (Abstract)
48) Artés, Joan C.: Structurally unstable quadratic vector fields of codimension two:
families possessing one finite saddle-node and a separatrix connection. Qualitative Theory of Dynamical Systems
(2023). (additional
info)
49) Artés, Joan C.;
Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae: {Global analysis of Riccati quadratic differential systems, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 34 (2024), no. 1, Paper No. 2450004, 46 pp. (additional
info)
50) Artés, Joan C.;
Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae: {Abel quadratic differential systems of second kind,
Electron. J. Differential Equations (2024), Paper No. 50, 38 pp. (additional info)
51) Artés, Joan C., Rezende,
Alex, Mota, Marcos C.: Quadratic systems possessing an
infinite elliptic-saddle or an infinite nilpotent saddle.
Internat. J. Bifur. Chaos Appl. Sci. Engrg. 34 (2024), no. 11, Paper No. 2430023, 43 pp. (additional
info)
52) Artés, Joan C.; Cairó, Laurent; Llibre, Jaume: Phase portraits of the family IV of the quadratic polynomial differential systems.
Qual. Theory Dyn. Syst. 24 (2025), no. 2, Paper No. 66, 34 pp. (Abstract)
Artés, Joan C.;
Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae: {Codimension in planar polynomial differential systems, Electronic Journal of Differential Equations 28 (2026) 1--47. (additional
info)
J.C. Artés, H. Chen, L.M. Ferrer and M. Jia: Quadratic vector fields in Class I. Dynamical Systems, 40 (2) 191-222
(2025). (Abstract)
Joan C. Artés and Carles Trullas,
: Quadratic differential systems
with a weak focus of first order
and a finite saddle-node. Int. Journal of
Bifurcation and chaos 36 (6) (2026). (additional
info)
Joan C. Artés and Nicolae Vulpe,
: A complete classification of degenerate quadratic differential systems. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica 3(106) (2024) 29--53. (Abstract)
Joan C. Artés, Laurent Cairó and Jaume Llibre,
: Phase Portraits of the Families V to X for the Quadratic
Polynomial Differential Systems. (additional
info)
Joan C. Artés and Laurent Cairó,
: Phase portraits of quadratic differential systems with a weak focus and a (1,1)SN. (additional
info)
Joan C. Artés and Laurent Cairó,
: Phase portraits of quadratic differential systems with a weak focus and a (0,2)SN. (additional
info)
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