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| PUBLICACIONS / PUBLICATIONS |
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The number of limit cycles in planar systems and generalized Abel equations with monotonous hyperbolicity Antoni Guillamon, Marco Sabatini Nonlinear Analysis: Theory, Methods & Applications (2009), doi:10.1016/j.na.2009.01.034 |
| Estimation of
synaptic conductances Antoni Guillamon, David W. McLaughlin, John Rinzel Journal of Physiology-Paris, Volume 100, Issues 1-3, July-September 2006, Pages 31-42 |
| Geometric
tools to determine the hyperbolicity of limit cycles Antoni Guillamon, Marco Sabatini Journal of Mathematical Analysis and Applications, Volume 331, Issue 2, 15 July 2007, Pages 986-1000 For abstract or postscript, click also here and see Preprint no. 7 |
| Limit
cycles
for generalized Abel
equations Armengol Gasull, Antoni Guillamon International Journal of Bifurcation and Chaos, Vol. 16, No. 12 (2006) 3737-3745 For abstract or postscript, click also here and see Preprint no. 5 |
| Limit cycles
and Lie symmetries Emilio Freire, Armengol Gasull, Antoni Guillamon Bulletin des Sciences Mathématiques, Volume 131, Issue 6, September 2007, Pages 501-517 For abstract or postscript, click also here and see Preprint no. 4 |
| Paraules i
nombres Materials Matemàtics (electronic journal), Vol. 2006 |
| The period
function for second-order quadratic ODEs is monotone Armengol Gasull, Antoni Guillamon, Jordi Villadelprat Qual. Theory Dyn. Syst. 4 (2004), 329-352. |
| Una
introducció a les matemàtiques de l'activitat neuronal
Antoni Guillamon Butlletí de la Societat Catalana de Matemàtiques 19 (2004), 25-45. |
| First derivative of the period function
with
applications Emilio Freire, Armengol Gasull, Antoni Guillamon Journal of Differential Equations 204 (2004), 139-162. |
| A characterization of isochronous
centres in terms of symmetries Emilio Freire, Armengol Gasull, Antoni Guillamon Revista Matemática Iberoamericana 20 (2004), no. 1, 205-222. |
| Period function for perturbed isochronous centres
E. Freire, A. Gasull, A. Guillamon Qual. Theory Dyn. Syst. 3 (2002), no. 1, 275--284. |
| A pseudo-normal form for planar vector fields Amadeu Delshams, Antoni Guillamon, José Tomás Lázaro Qual. Theory Dyn. Syst. 3 (2002), no. 1, 51-82. |
| Phase portrait of Hamiltonian systems with homogeneous
nonlinearities Armengol Gasull, Antoni Guillamon, Víctor Mañosa Nonlinear Anal. 42 (2000), no. 4, Ser. A: Theory Methods, 679--707. |
| An analytic-numerical method of computation of the
Liapunov
and period constants derived from their algebraic structure Armengol Gasull, Antoni Guillamon, Víctor Mañosa SIAM J. of Num. Anal, 36, 4, 1030-1043, 1999 |
| The period function for Hamiltonian systems with
homogeneous nonlinearities Armengol Gasull, Antoni Guillamon, Víctor Mañosa, Francesc Mañosas Journal of Differential Equations, 139, 237-260, 1997 |
| An explicit expression of the first Liapunov and period
constants with applications Armengol Gasull, Antoni Guillamon, Víctor Mañosa Journal of Mathematical Analysis and Applications, 211, 190-212, 1997 |
| Geometrical conditions for the stability of periodic
orbits
in planar systems Ronaldo Alves Garcia, Armengol Gasull, Antoni Guillamon Math. Proc. Cambridge Phil. Soc., 120, 499-519, 1996 |
| Perturbed Lotka-Volterra systems via Abelian integrals
Armengol Gasull, Antoni Guillamon, Chengzhi Li, Zhifen Zhang Journal of Mathematical Analysis and Applications, 198, 703-728, 1996 |
| Periods for transversal maps via Lefschetz numbers for
periodic points Antoni Guillamon, Xavier Jarque, Jaume Llibre, Joaquim Ortega, Joan Torregrosa Transactions of the American Mathematical Society, 347, 4779-4806, 1995 |
| Center and isochronicity conditions for systems with
homogeneous nonlinearities Armengol Gasull, Antoni Guillamon, Víctor Mañosa Proceedings of the 2nd Catalan Days of Applied Mathematics, 105-116, 1995 |
| Non-existence, uniqueness of limit cycles and center
problem in a system that includes predator-prey systems and generalized Liénard equations Armengol Gasull, Antoni Guillamon Differential Equations and Dynamical Systems, 3, 345-366, 1995 |
| Non-existence of limit cycles in some predator-prey
systems Armengol Gasull, Antoni Guillamon Proceedings Equadiff'91, 538-544, World Scientific, Singapore, 1993 |
| Applications of Riemannian metrics to systems of
differential equations Armengol Gasull, Antoni Guillamon, Gregori Guasp Proceedings del XII CEDYA, 129-134, Serv. Publ. Universidad de Oviedo, 1992 |
| Una panoràmica de la matemàtica a
Catalunya durant el segle XIX Antoni Guillamon Butlletí de la Societat Catalana de Matemàtiques, 4, 47-67, 1989 |
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