Toni Guillamon

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Armengol GasullProfessor, Universitat Autònoma de BarcelonaVerified email at mat.uab.cat
Gemma HuguetUniversitat Politècnica de CatalunyaVerified email at upc.edu
Victor MañosaAssociate Professor, Department de Matemàtiques, Universitat Politècnica de CatalunyaVerified email at upc.edu
Emilio FreireProfesor de Matemáticas, Universidad de SevillaVerified email at us.es
Josep Sardanyés (ORCID: 0000-0001...Centre de Recerca Matemàtica - Nonlinear Dynamics and Evolution Lab (NoDE Lab)Verified email at crm.cat
Catalina VichUniversitat de les Illes BalearsVerified email at uib.es
GUSTAVO DECOUniversity Pompeu Fabra - Center for Brain and Cognition - ICREAVerified email at upf.edu
Antonio E. TeruelAssistant Professor. Balearic Islands University.Verified email at uib.es
Rafel ProhensApplied Math, Universitat de les Illes BalearsVerified email at uib.cat
Mathieu DesrochesAssociate Research Professor, Inria, Sophia Antipolis Research CentreVerified email at inria.fr
Alexander (Sasha) PastukhovOtto-Friedrich-Universität BambergVerified email at uni-bamberg.de
Jochen BraunProfessor of Cognitive Biology, MagdeburgVerified email at ovgu.de
Joachim HaenickeVerified email at fu-berlin.de
Serafim RodriguesBasque Centre for Applied MathematicsVerified email at bcamath.org
Francesc Mañosas CapelladesUniversitat Autònoma de BarcelonaVerified email at mat.uab.cat
Marco SabatiniUniversità di TrentoVerified email at unitn.it
Amadeu DelshamsProfessor of Applied Mathematics, Universitat Politecnica de CatalunyaVerified email at upc.edu
Enrique PonceUniversidad de Sevilla, IMUSVerified email at us.es
Pau ClosasAssociate Professor of ECE, Northeastern UniversityVerified email at northeastern.edu
Maria V. Sanchez-VivesICREA Research Professor, IDIBAPSVerified email at clinic.cat

Toni Guillamon

Associate Professor of Applied Mathematics, Universitat Politècnica de Catalunya

Verified email at upc.edu - Homepage

Dynamical Systems Computational Neuroscience


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A computational and geometric approach to phase resetting curves and surfaces A Guillamon, G Huguet SIAM Journal on Applied Dynamical Systems 8 (3), 1005-1042, 2009	109	2009
An explicit expression of the first Liapunov and period constants with applications A Gasull, A Guillamon, V Manosa Journal of Mathematical Analysis and Applications 211 (1), 190-212, 1997	106	1997
Phase-amplitude response functions for transient-state stimuli O Castejón, A Guillamon, G Huguet The Journal of Mathematical Neuroscience 3 (1), 1-26, 2013	62	2013
First derivative of the period function with applications E Freire, A Gasull, A Guillamon Journal of Differential Equations 204 (1), 139-162, 2004	59	2004
Multi-stable perception balances stability and sensitivity A Pastukhov, PE García-Rodríguez, J Haenicke, A Guillamon, G Deco, ... Frontiers in computational neuroscience 7, 17, 2013	53	2013
Limit cycles for generalized Abel equations A Gasull, A Guillamon International Journal of Bifurcation and Chaos 16 (12), 3737-3745, 2006	52	2006
Canards, folded nodes, and mixed-mode oscillations in piecewise-linear slow-fast systems M Desroches, A Guillamon, E Ponce, R Prohens, S Rodrigues, AE Teruel SIAM review 58 (4), 653-691, 2016	48	2016
The period function for Hamiltonian systems with homogeneous nonlinearities A Gasull, A Guillamon, V Manosa, F Mañosas journal of differential equations 139 (2), 237-260, 1997	42	1997
Synaptic depression and slow oscillatory activity in a biophysical network model of the cerebral cortex JM Benita, A Guillamon, G Deco, MV Sanchez-Vives Frontiers in computational neuroscience 6, 64, 2012	41	2012
Estimation of synaptic conductances A Guillamon, DW McLaughlin, J Rinzel Journal of Physiology-Paris 100 (1-3), 31-42, 2006	33	2006
The period function for second-order quadratic ODEs is monotone A Gasull, A Guillamon, J Villadelprat The Period Function for Second-Order Quadratic ODEs is Monotone, 329-352, 2003	31	2003
Centre and isochronicity conditions for systems with homogeneous nonlinearities A Gasull, A Guillamon, V Mañosa Proceedings of the 2nd Catalan days of Applied Mathematics, Font-Romeu …, 1995	28	1995
A characterization of isochronous centres in terms of symmetries E Freire, A Gasull, A Guillamon Revista Matemática Iberoamericana 20 (1), 205-222, 2004	23	2004
Limit cycles and Lie symmetries E Freire, A Gasull, A Guillamon Bulletin des sciences mathematiques 131 (6), 501-517, 2007	22	2007
Period function for perturbed isochronous centres E Freire, A Gasull, A Guillamon Qualitative Theory of Dynamical Systems 3 (1), 275-284, 2002	22	2002
Non-existence of limit cycles for some predator prey systems A Gasull, A Guillamon Proc. d'Equadiff-91, World Scientific, Singapore, 538-543, 1993	22	1993
Bifurcations analysis of oscillating hypercycles A Guillamon, E Fontich, J Sardanyés Journal of theoretical biology 387, 23-30, 2015	19	2015
Phase portrait of Hamiltonian systems with homogeneous nonlinearities A Gasull, A Guillamon, V Mañosa Nonlinear Analysis: Theory, Methods & Applications 42 (4), 679-707, 2000	19	2000
An analytic-numerical method for computation of the Liapunov and period constants derived from their algebraic structure A Gasull, A Guillamon, V Mañosa SIAM journal on numerical analysis 36 (4), 1030-1043, 1999	18	1999
Periods for transversal maps via Lefschetz numbers for periodic points A Guillamon, X Jarque, J Llibre, J Ortega, J Torregrosa Transactions of the American Mathematical Society 347 (12), 4779-4806, 1995	18	1995

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