Articles in journals

2017

  • A. Guillamon; R. Prohens; A. E. Teruel; C. Vich
    Estimation of synaptic conductances in the spiking regime for the McKean neuron model, SIADS, 16(3), pp 1397-1424, 2017 (pdf).
    http://epubs.siam.org/toc/sjaday/16/3
  • C.Vich; R.W. Berg; S. Ditlevsen; A. Guillamon
    Estimation of synaptic conductances in presence of nonlinear effects caused by subthreshold ionic currents.
    Frontiers in Computational Neuroscience, 11, 2017.
    https://doi.org/10.3389/fncom.2017.00069
  • M.J. Álvarez; J.L. Bravo; M. Fernández; R. Prohens
    Center and limity cycles for a family of Abel Equations.
    Journal of Mathematical Analysis and Applications, 453 (1), pp 485-501, 2017.
    https://doi.org/10.1016/j.jmaa.2017.04.017
  • M.J. Álvarez; A. Gasull; R. Prohens
    Global behaviour of the period function of the sum of two quasi-homogeneous vector fields.
    Journal of Mathematical Analysis and Applications, 449 (2), pp 1553-1569.
    https://doi.org/10.1016/j.jmaa.2016.12.077

2016

2015

  • C. Vich; A. Guillamon
    Dissecting estimation of conductances in subthreshold regimes.
    Journal of Computational Neuroscience, 39, pp 271–287, 2015. DOI:10.1007/s10827-015-0576-2
  • V. Carmona; F. Fernández-Sánchez; E. García-Medina; A. E. Teruel,                               Noose Structure and Bifurcations of Periodic Orbits in Reversible Three-Dimensional Piecewise Linear Differential Systems. Journal of Nonlinear Science, 25, pp 1209–1224, 2015. DOI: 10.1007/s00332-015-9251-z

2014

  • M. J. Álvarez; I. S. Laboriau; A. Murza
    Limit cycles for a class of quintic Z6 equivariant systems without infinite critical points.
    Bull. Belg. Math. Soc. Simon Stevin, 21, 841-857. ISSN: 1370-1444. Acceso
  • R. Prohens; J. Torregrosa.
    Periodic orbits from second order perturbation via rational trigonometric integrals. Physica D, 280-281, 59-72, ISSN: 0167-2789.
  • V. Carmona; S. Fernández-García; F. Fernández-Sánchez; E. García-Medina; A. E. Teruel.
    Noose bifurcation and crossing tangency in reversible piecewise linear systems,
    Nonlinearity, 27, 3, 585. ISSN: 0951-7715

2013

  • M.J. Álvarez; J.L. Bravo; M.Fernández.
    Existence of non-trivial limit cycles in Abel equations with symmetries. Theory Methods & Applications, 84,  18-28.   ISSN: 0362-546X. DOI
  • B. Coll; F. Dumortier; R. Prohens.
    Alien limit cycles in Liénard equations. Journal of Differential Equations, 254(3),  1582-1600.   ISSN: 0022-0396
  • B. Coll; F. Dumortier; R. Prohens.
    Configurations of limit cycles in Liénard equations. Journal of Differential Equations, 255(11),  4169-4184.   ISSN: 0022-0396
  • R. Prohens; A.E. Teruel.
    Canard trajectories in 3D piecewise linear systems. Discrete and Continuous Dynamical Systems, 33(10),  4595-4611.  http://www.aimsciences.org/journals/contentsListnew.jsp?pubID=595 ISSN: 1078-0947
  • R. Prohens; J. Torregrosa.
    Corrigendum to “Shape and period of limit cycles bifurcating from a class of Hamiltonian period annulus’. Theory Methods & Applications, 93,  1-2.   ISSN: 0362-546X
  • R. Prohens; J. Torregrosa.
    Shape and period of limit cycles bifurcating from a class of Hamiltonian period annulus. Theory Methods & Applications, 81,  130-148.   ISSN: 0362-546X

2012

  • M.J. Álvarez; A. Ferragut.
    Local behavior of planar analytic vector fields via integrability. Journal of Mathematical Analysis and Applications, 385,  264-277.   ISSN: 0022-247X. DOI
  • M.J. Álvarez; A. Gasull; R. Prohens.
    Limit cycles for two families of cubic systems. Theory Methods & Applications, 75(18),  6402-6417.   ISSN: 0362-546X. DOI
  • B. Coll; A. Gasull; R. Prohens.
    Periodic orbits for perturbed non-autonomous differential equations. Bulletin des Sciences Mathematiques, 136,  803-819.  http://www.sciencedirect.com/science/article/pii/S0007449712000231# ISSN: 0007-4497
  • V. Carmona; S. Fernández-García; F. Fernández-Sánchez; E. García-Medina; A. E. Teruel.
    Reversible periodic orbits in a class of 3D continuous piecewise linear systems of differential equations. Theory Methods & Applications.  http://dx.doi.org/10.1016/j.na.2012.05.027 ISSN: 0362-546X

 2011

  • M.J. Álvarez; J.L. Bravo; M. Fernández.
    Abel-like differential equations with a unique limit cycle. Theory Methods & Applications, 74,  3694-3702.   ISSN: 0362-546X. DOI
  • M.J. Álvarez; A. Ferragut; X. Jarque.
    A survey on the blow up technique. International Journal of Bifurcation and Chaos, 21(11),  3103-3118.   ISSN: 0218-1274
  • B. Coll; J. Llibre; R. Prohens.
    Limit cycles bifurcating from a perturbed quartic center. Chaos Solitons & Fractals, 44,  317-334.  http://www.elsevier.com/locate/chaos ISSN: 0960-0779

2010

  • M.J. Álvarez; A. Gasull; R. Prohens.
    Topological classification of polynomial complex differential equations with all the critical points of center type. Journal of Difference Equations and Applications, 16(5-6),  411-423.   ISSN: 1023-6198. DOI
  • V. Carmona; F. Fernández-Sánchez; E. García-Medina.; A.E. Teruel.
    Existence of homoclinic connections in continuous piecewise linear systems. Chaos, 20(1),  013124, 8 pp. .   ISSN: 1054-1500
  • A. Murza; A.E. Teruel.
    Global dynamics of a family of ·3D Lotka-Volterra Systems. An International Journal, 25(2),  269-284.  http://www.informaworld.com/smpp/content~db=all?content=10.1080/14689360903575196 ISSN: 1468-9367

2009

  • M.J. Álvarez; J.L. Bravo; M. Fernández.
    Uniqueness of limit cycles for polynomial first-order differential equations. Journal of Mathematical Analysis and Applications, 360,  168-189.   ISSN: 0022-247X. DOI
  • M.J. Álvarez; A. Gasull; R. Prohens.
    Configurations of critical points in complex polynomial differential equations. Theory Methods & Applications, 71(3-4),  923-934.   ISSN: 0362-546X. DOI
  • B. Coll; C. Li; R. Prohens.
    Quadratic perturbations of a class of quadratic reversible systems with two centers. Discrete and Continuous Dynamical Systems, 24(3),  699-729.   ISSN: 1078-0947

2008

  • M.J. Álvarez; A. Gasull; R. Prohens.
    Limit cycles for cubic systems with a symmetry of order 4 and without infinite critical points. Proceedings of the American Mathematical Society, 136,  1035-1046.   ISSN: 0002-9939. DOI
  • M.J. Álvarez; A. Gasull; J. Yu.
    Lower bounds for the number of limit cycles of trigonometric Abel equations. Journal of Mathematical Analysis and Applications, 342,  682-693.   ISSN: 0022-247X. DOI
  • V. Carmona; F. Fernández-Sánchez; A.E. Teruel.
    Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System. Siam Journal On Applied Dynamical Systems, 7(3),  1032.  http://www.siam.org ISSN: 1536-0040
  • B. Coll; A. Gasull; R. Prohens.
    Simple non-autonomous differential equations with many limit cycles. communications on applied nonlinear analysis, 15(1),  29-35
  • A. Gasull; R. Prohens; J. Torregrosa.
    Bifurcation of Limit Cycles from a Polynomial Non-global Center. Journal Of Dynamics And Differential Equations, 20(4),  945-960.   ISSN: 1040-7294

2007

  • M.J. Álvarez; A. Gasull; H. Giacomini.
    A new uniqueness criterion for the number of periodic orbits of Abel equations. Journal of Differential Equations, 234(1),  161-176.   ISSN: 0022-0396. DOI
  • M.J. Álvarez; A. Gasull; R. Prohens.
    On the number of limit cycles of some systems on the cylinder. Bulletin des Sciences Mathematiques, 131(7),  620-637.   ISSN: 0007-4497. DOI

2006

  • M.J. Álvarez; A. Gasull.
    Generating limit cycles froma a nilpotent critical point via normal forms. Journal of Mathematical Analysis and Applications, 318(1),  271-287.   ISSN: 0022-247X. DOI
  • B. Coll; A. Gasull; R. Prohens.
    On a criterium of global attraction for discrete dynamical systems. Communications On Pure And Applied Analysis, 5(3),  537-550.   ISSN: 1534-0392
  • A.E. Teruel.
    El floc de neu de von Koch. Revista electrònica de divulgació matemàtica., 2006,  treball nº 5.

2005

  • M.J. Álvarez; A. Gasull.
    Monodromy and stability for nilpontent critical points. International Journal of Bifurcation and Chaos, 15(4),  1253-1265.   ISSN: 0218-1274. DOI
  • B. Coll; A. Gasull; R. Prohens.
    Bifurcation of limit ctcles from two families of centers. Series A-Mathematical, 12(2),  275-288.   ISSN: 1201-3390
  • A. Gasull; R. Prohens; J. Torregrosa.
    Limit cycles for rigid cubic systems. Journal of Mathematical Analysis and Applications, 303(2),  391-404.   ISSN: 0022-247X

2004

  • Llibre; E. Ponce; A.E. Teruel.
    Horseshoes near homoclinic orbits for piecewise linear differential systems in R^3. International Journal of Bifurcation and Chaos, 17(4).   ISSN: 0218-1274

2003

  • J. Llibre; A.E. Teruel.
    Existence of Poincaré maps in piecewise linear differential systems in R^n. International Journal of Bifurcation and Chaos, 14(8),  2843-2851.   ISSN: 0218-1274

2002

  • J. Llibre; E. Nuñez; A.E. Teruel.
    Limit cycles for planar piecewise linear differential systems via first integrals. Qualitative Theory Of Dynamical Systems(3),  29-50.   ISSN: 1575-5460

2001

  • J. Llibre; A.E. Teruel.
    Phase Portraits of the two-body problem with Manev potential. Mathematical and General(34),  1919-1934.   ISSN: 0305-4470
  • B. Coll; A. Gasull; R. Prohens.
    Degenerate Hopf bifurcations in discontinuous planar systems. Journal of Mathematical Analysis and Applications, 253,  671-690.   ISSN: 0022-247X

2000

  • B. Coll; A. Gasull; R. Prohens.
    Center-focus and isochronous center problems for discontinuous differential equations. Discrete and Continuous Dynamical Systems, 6(3),  609-624.   ISSN: 1078-0947
  • A. Gasull; R. Prohens.
    Simple examples of one-parameter planar bifurcations. Extracta Mathematicae, 15(1),  219-229.   ISSN: 0213-8743

1999

  • B. Coll; A. Gasull; R. Prohens.
    The center problem for discontinuous Liénard Differential equation. International Journal of Bifurcation and Chaos, 9(9),  1751-1761.   ISSN: 0218-1274

1997

  • B. Coll; A. Gasull; R. Prohens.
    Differential equations defined by the sum of two quasi-homogeneous vector fields. Journal Canadien de Mathematiques, 49(2),  212-231.   ISSN: 0008-414X
  • A. Gasull; R. Prohens.
    Effective computation of the first Lyapunov quantities for a planar differential. Acta Applicandae Mathematicae, 24(3),  243-250.   ISSN: 0167-8019

1996

  • B. Coll; A. Gasull; R. Prohens.
    Limit cycles for non smooth differential equations via Schwarzian derivative. Journal of Differential Equations, 132(2),  203-221.   ISSN: 0022-0396
  • A. Gasull; R. Prohens.
    Quadratic and cubic systems with degenerate infinity. Journal of Mathematical Analysis and Applications, 198(0065),  25-34.   ISSN: 0022-247X
  • A. Gasull; R. Prohens.
    On quadratic systems with a degenerate critical point. Rocky Mountain Journal of Mathematics, 26(1),  135-164.   ISSN: 0035-7596