Gemma Huguet
Gemma Huguet
Ramon y Cajal researcher
Підтверджена електронна адреса в
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
Noise and adaptation in multistable perception: Noise drives when to switch, adaptation determines percept choice
G Huguet, J Rinzel, JM Hupé
Journal of vision 14 (3), 19-19, 2014
Computation of whiskered invariant tori and their associated manifolds: New fast algorithms.
G Huguet, Y de la Llave, Rafael and Sire
Discrete and Continuous Dynamical Systems 32 (4), 1309-1353, 2012
Geography of resonances and Arnold diffusion in a priori unstable Hamiltonian systems
A Delshams, G Huguet
Nonlinearity 22 (8), 1997, 2009
Computation of limit cycles and their isochrons: fast algorithms and their convergence
G Huguet, R de la Llave
SIAM Journal on Applied Dynamical Systems 12 (4), 1763-1802, 2013
Type III excitability, slope sensitivity and coincidence detection
X Meng, G Huguet, J Rinzel
Discrete and continuous dynamical systems. Series A 32 (8), 2729, 2012
Phase-amplitude response functions for transient-state stimuli
O Castejón, A Guillamon, G Huguet
The Journal of Mathematical Neuroscience 3 (1), 1-26, 2013
Neuroprotective role of gap junctions in a neuron astrocyte network model
G Huguet, A Joglekar, LM Messi, R Buckalew, S Wong, D Terman
Biophysical journal 111 (2), 452-462, 2016
A geometric mechanism of diffusion: Rigorous verification in a priori unstable Hamiltonian systems
A Delshams, G Huguet
Journal of Differential Equations 250 (5), 2601-2623, 2011
Nonlinear dynamics of neuronal excitability, oscillations, and coincidence detection
J Rinzel, G Huguet
Communications on pure and applied mathematics 66 (9), 1464-1494, 2013
Phasic firing and coincidence detection by subthreshold negative feedback: divisive or subtractive or, better, both
G Huguet, X Meng, J Rinzel
Frontiers in computational neuroscience 11, 3, 2017
The role of hyperbolic invariant objects: from Arnold difussion to biological clocks
G Huguet
PhD thesis, Departament de Matematica Aplicada I, Universitat Politecnica de …, 2008
Phase-locked states in oscillating neural networks and their role in neural communication
A Pérez-Cervera, TM Seara, G Huguet
Communications in Nonlinear Science and Numerical Simulation 80, 104992, 2020
Fast iteration of cocyles over rotations and Computation of hyperbolic bundles
G Huguet, R de la Llave, Y Sire
arXiv preprint arXiv:1102.2461, 2011
Fast numerical algorithms for the computation of invariant tori in Hamiltonian Systems
R de la Llave, G Huguet, Y Sire
Preprint available electronically at http://www. ma. utexas. edu/mp_arc-bin …, 2008
Global phase-amplitude description of oscillatory dynamics via the parameterization method
A Pérez-Cervera, T M-Seara, G Huguet
Chaos: An Interdisciplinary Journal of Nonlinear Science 30 (8), 083117, 2020
A geometric approach to Phase Response Curves and its numerical computation through the parameterization method
A Pérez-Cervera, T M-Seara, G Huguet
Journal of Nonlinear Science 29 (6), 2877-2910, 2019
The large gap problem in Arnold diffusion for non polynomial perturbations of an a-priori integrable Hamiltonian system.
A Delshams, G Huguet
The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability
A Pérez-Cervera, P Ashwin, G Huguet, TM Seara, J Rankin
The Journal of Mathematical Neuroscience 9 (1), 1-33, 2019
Computation of invariant curves in the analysis of periodically forced neural oscillators
A Pérez-Cervera, G Huguet, M Tere
Nonlinear Systems, Vol. 2, 63-81, 2018
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Статті 1–20