2401 publications found

J. Llibre, C. Valls.
Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres.
Dyn. Syst., 37(2), 262-279. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
The improved euler-Jacobi formula and the planar polynomial vector fields of degree 2-4.
Bull. Belg. Math. Soc. Simon Stevin, 29(1), 63-85. 2022. [DOI]
PreprintAbstract

D. Marín, J. Villadelprat.
The criticality of reversible quadratic centers at the outer boundary of its period annulus.
J. Differential Equations, 332, 123-201. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

D. Marín, J. Villadelprat.
On the cyclicity of Kolmogorov polycycles.
Electron. J. Qual. Theory Differ. Equ., 2022(35), 1-31. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

D. D. Novaes, G. Rondon.
On limit cycles in regularized Filippov systems bifurcating from homoclinic-like connections to regular-tangential singularities.
Phys. D, 442, Paper No. 133526, 15. 2022. [DOI]
PreprintAbstract

R. D. S. Oliveira, I. Sánchez Sánchez, J. Torregrosa.
Simultaneous bifurcation of limit cycles and critical periods.
Qual. Theory Dyn. Syst., 21(20), 1-35. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

A. L. Rodero.
Structural stability, centers and limit cycles for smooth and nonsmooth tridimensional vector fields with invariant bidimensional spheres.
PhD thesis, Universidade Estadual Paulista, Sao Jose do Rio Preto (Brazil), February, 2022. (In Portuguese)

D. Rojas.
Oscil·ladors en ressonància.
Butl. Soc. Catalana Mat., 37(2), 137-172. 2022. [DOI] (In Catalan)
PreprintAbstractPreprint at DDDUAB

D. Rojas, P. J. Torres.
Periodic bouncing solutions of the Lazer-Solimini equation with weak repulsive singularity.
Nonlinear Anal. Real World Appl., 64, 103441:1-13. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

I. Sánchez Sánchez, J. Torregrosa.
Hopf bifurcation in 3-dimensional polynomial vector fields.
Commun. Nonlinear Sci. Numer. Simul., 105, 106068:1-13. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

Y. Villanueva, J. Llibre, R. Euzébio.
Limit cycles of generic piecewise center-type vector fields in $R^3$ separated by either one plane or by two parallel planes.
Bull. Sci. Math., 179, 103173:1-14. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

M. Alberich-Carramiñana, A. Ferragut, J. Llibre.
Quadratic planar differential systems with algebraic limit cycles via quadratic plane Cremona maps.
Adv. Math., 389, 107924:1-38. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

Ll. Alsedà, S. Borrós.
An algorithm to compute rotation intervals of circle maps.
Commun. Nonlinear Sci. Numer. Simul., 102, 105915:1-18. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

M. E. Anacleto, J. Llibre, C. Valls, C. Vidal.
Limit cycles of discontinuous piecewise differential systems formed by linear centers in $R^2$ and separated by two circles.
Nonlinear Anal. Real World Appl., 60, 103281. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. C. Artés, J. Llibre, D. Schlomiuk, N. Vulpe.
Invariant conditions for phase portraits of quadratic systems with complex conjugate invariant lines meeting at a finite point.
Rend. Circ. Mat. Palermo (2), 70(923--945), . 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. C. Artés, J. Llibre, D. Schlomiuk, N. Vulpe.
Geometric configurations of singularities of planar polynomial differential systems. A global classification in the quadratic case.
Birkhäuser, 2021.
Link at publisherContents

J. C. Artés, M. C. Mota, A. C. Rezende.
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., 2021(35), 1-89. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. C. Artés, M. C. Mota, A. C. Rezende.
Quadratic differential systems with a finite saddle-node and an infinite saddle-node (1,1) SN - (A).
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 31(2), 2150026 (24 pages). 2021. [DOI] (Preprint)
PreprintAbstractPreprint at DDDUAB

J. C. Artés, M. C. Mota, A. C. Rezende.
Quadratic differential systems with a finite saddle-node and an infinite saddle-node (1,1) SN - (B).
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 31(9), 2130026 (110 pages). 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. C. Avila, M. Corbera, M. Frías-Armenta.
Configuration of zeros of isochronous vector fields of degree 5.
J. Complexity, 2021, 6227955. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB
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