Toni Guillamon
Toni Guillamon
Associate Professor of Applied Mathematics, Universitat Politècnica de Catalunya
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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
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
Phase-amplitude response functions for transient-state stimuli
O Castejón, A Guillamon, G Huguet
The Journal of Mathematical Neuroscience 3, 1-26, 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
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
First derivative of the period function with applications
E Freire, A Gasull, A Guillamon
Journal of Differential Equations 204 (1), 139-162, 2004
Limit cycles for generalized Abel equations
A Gasull, A Guillamon
International Journal of Bifurcation and Chaos 16 (12), 3737-3745, 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
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
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
Estimation of synaptic conductances
A Guillamon, DW McLaughlin, J Rinzel
Journal of Physiology-Paris 100 (1-3), 31-42, 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
A characterization of isochronous centres in terms of symmetries
E Freire, A Gasull, A Guillamon
Period function for perturbed isochronous centres
E Freire, A Gasull, A Guillamon
Qualitative Theory of Dynamical Systems 3 (1), 275-284, 2002
Limit cycles and Lie symmetries
E Freire, A Gasull, A Guillamon
Bulletin des sciences mathematiques 131 (6), 501-517, 2007
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
Non-existence of limit cycles for some predator prey systems
A Gasull, A Guillamon
Proc. d'Equadiff-91, World Scientific, Singapore, 538-543, 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
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
Bifurcations analysis of oscillating hypercycles
A Guillamon, E Fontich, J Sardanyés
Journal of theoretical biology 387, 23-30, 2015
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