Toni Guillamon

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Armengol GasullProfessor, Universitat Autònoma de BarcelonaE-mail confirmado em uab.cat
Gemma HuguetUniversitat Politècnica de CatalunyaE-mail confirmado em upc.edu
Josep Sardanyés, ORCID: 0000-0001-...Group leader @ Centre de Recerca MatemàticaE-mail confirmado em crm.cat
Victor MañosaAssociate Professor, Department de Matemàtiques, Universitat Politècnica de CatalunyaE-mail confirmado em upc.edu
Catalina VichUniversitat de les Illes BalearsE-mail confirmado em uib.es
Emilio FreireProfesor de Matemáticas, Universidad de SevillaE-mail confirmado em us.es
Antonio E. TeruelAssistant Professor. Balearic Islands University.E-mail confirmado em uib.es
Rafel ProhensApplied Math, Universitat de les Illes BalearsE-mail confirmado em uib.cat
GUSTAVO DECOUniversity Pompeu Fabra - Center for Brain and Cognition - ICREAE-mail confirmado em upf.edu
Mathieu DesrochesResearch Director, Inria Branch of the University of MontpellierE-mail confirmado em inria.fr
Alexander (Sasha) PastukhovOtto-Friedrich-Universität BambergE-mail confirmado em uni-bamberg.de
Jochen BraunProfessor of Cognitive Biology, MagdeburgE-mail confirmado em ovgu.de
Serafim RodriguesBasque Centre for Applied MathematicsE-mail confirmado em bcamath.org
Francesc Mañosas CapelladesUniversitat Autònoma de BarcelonaE-mail confirmado em mat.uab.cat
Enrique PonceUniversidad de Sevilla, IMUSE-mail confirmado em us.es
Tomas Alarcon (ORCID 0000-0002-85...ICREA Research Professor at the Centre de Recerca Matematica, Barcelona, SpainE-mail confirmado em crm.cat
Amadeu DelshamsProfessor of Applied Mathematics, Universitat Politecnica de CatalunyaE-mail confirmado em upc.edu
Pau ClosasAssociate Professor of ECE, Northeastern UniversityE-mail confirmado em northeastern.edu
Ricard SoléICREA Research Professor/Universitat Pompeu Fabra and External Professor, Santa Fe InstituteE-mail confirmado em upf.edu
Maria V. Sanchez-VivesICREA Research Professor, IDIBAPSE-mail confirmado em recerca.clinic.cat

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Toni Guillamon

Associate Professor of Applied Mathematics, Universitat Politècnica de Catalunya

E-mail confirmado em upc.edu - Página inicial

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	137	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	111	1997
Phase-amplitude response functions for transient-state stimuli O Castejón, A Guillamon, G Huguet The Journal of Mathematical Neuroscience 3, 1-26, 2013	85	2013
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	72	2016
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	69	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
Limit cycles for generalized Abel equations A Gasull, A Guillamon International Journal of Bifurcation and Chaos 16 (12), 3737-3745, 2006	57	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	54	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	51	2012
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	44	2004
Estimation of synaptic conductances A Guillamon, DW McLaughlin, J Rinzel Journal of Physiology-Paris 100 (1-3), 31-42, 2006	36	2006
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	29	1995
A characterization of isochronous centres in terms of symmetries E Freire, A Gasull, A Guillamon	25	2004
Period function for perturbed isochronous centres E Freire, A Gasull, A Guillamon Qualitative Theory of Dynamical Systems 3 (1), 275-284, 2002	25	2002
Limit cycles and Lie symmetries E Freire, A Gasull, A Guillamon Bulletin des sciences mathematiques 131 (6), 501-517, 2007	24	2007
Engineering self-organized criticality in living cells B Vidiella, A Guillamon, J Sardanyés, V Maull, J Pla, N Conde, R Solé Nature communications 12 (1), 4415, 2021	22	2021
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	21	1995
Non-existence of limit cycles for some predator prey systems A Gasull, A Guillamon Proc. d'Equadiff-91, World Scientific, Singapore, 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	20	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	19	1999

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