Toni Guillamon

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	All	Since 2016
Citations	877	411
h-index	17	11
i10-index	25	14

120

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Co-authors

Armengol GasullProfessor, Universitat Autònoma de BarcelonaVerified email at mat.uab.cat
Gemma HuguetRamon y Cajal researcherVerified 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
Catalina VichUniversitat de les Illes BalearsVerified email at uib.es
Antonio E. TeruelAssistant Professor. Balearic Islands University.Verified email at uib.es
Rafel ProhensApplied Math, Universitat de les Illes BalearsVerified email at uib.cat
GUSTAVO DECOUniversity Pompeu Fabra - Center for Brain and Cognition - ICREAVerified email at upf.edu
Mathieu DesrochesPermanent Researcher, 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
Francesc Mañosas CapelladesUniversitat Autònoma de BarcelonaVerified email at mat.uab.cat
Serafim RodriguesBasque Centre for Applied MathematicsVerified email at bcamath.org
J. Tomás LázaroUniversitat Politècnica de CatalunyaVerified email at upc.edu
Marco SabatiniUniversità di TrentoVerified email at unitn.it
Pau ClosasAssistant Professor of ECE, Northeastern UniversityVerified email at northeastern.edu
Enrique PonceUniversidad de Sevilla, IMUSVerified email at us.es
Maria V. Sanchez-VivesICREA Research Professor, IDIBAPSVerified email at clinic.cat
Amadeu DelshamsProfessor of Applied Mathematics, Universitat Politecnica de CatalunyaVerified email at upc.edu

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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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	101	1997
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	100	2009
First derivative of the period function with applications E Freire, A Gasull, A Guillamon Journal of Differential Equations 204 (1), 139-162, 2004	55	2004
Phase-amplitude response functions for transient-state stimuli O Castejón, A Guillamon, G Huguet The Journal of Mathematical Neuroscience 3 (1), 1-26, 2013	53	2013
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	47	2013
Limit cycles for generalized Abel equations A Gasull, A Guillamon International Journal of Bifurcation and Chaos 16 (12), 3737-3745, 2006	47	2006
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	39	1997
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	35	2016
Synaptic depression and slow oscillatory activity in a biophysical network model of the cerebral cortex JM Benita, A Guillamon, G Deco, MVM Sanchez-Vives Frontiers in computational neuroscience 6, 64, 2012	33	2012
Estimation of synaptic conductances A Guillamon, DW McLaughlin, J Rinzel Journal of Physiology-Paris 100 (1-3), 31-42, 2006	31	2006
The period function for second-order quadratic ODEs is monotone A Gasull, A Guillamon, J Villadelprat Qualitative Theory of Dynamical Systems 4 (2), 329-352, 2004	27	2004
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	27	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	21	2007
Period function for perturbed isochronous centres E Freire, A Gasull, A Guillamon Qualitative Theory of Dynamical Systems 3 (1), 275-284, 2002	21	2002
Non-existence of limit cycles for some predator-prey systems A Gasull, A Guillamon Proceedings of Equadiff 91, 538-543, 1993	21	1993
Phase portrait of Hamiltonian systems with homogeneous nonlinearities A Gasull, A Guillamon, V Mañosa Nonlinear Analysis: Theory, Methods & Applications 42 (4), 679-707, 2000	18	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	17	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	17	1995
Bifurcations analysis of oscillating hypercycles A Guillamon, E Fontich, J Sardanyés Journal of theoretical biology 387, 23-30, 2015	15	2015

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