PREPRINTS
PUBLICACIONS / PUBLICATIONS
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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