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 | 127 | 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 | 94 | 2014 |
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 | 82 | 2013 |
Computation of whiskered invariant tori and their associated manifolds: new fast algorithms G Huguet, R de la Llave, Y Sire Discrete and Continous Dynamical Systems. Series A 32 (4), 1309 - 1353, 2012 | 79* | 2012 |
Phase-amplitude response functions for transient-state stimuli O Castejón, A Guillamon, G Huguet The Journal of Mathematical Neuroscience 3, 1-26, 2013 | 77 | 2013 |
Geography of resonances and Arnold diffusion in a priori unstable Hamiltonian systems A Delshams, G Huguet Nonlinearity 22 (8), 1997, 2009 | 73 | 2009 |
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 | 67 | 2012 |
Applications of dynamical systems in biology and medicine T Jackson, A Radunskaya Springer, 2015 | 49 | 2015 |
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 | 38 | 2016 |
Nonlinear dynamics of neuronal excitability, oscillations, and coincidence detection J Rinzel, G Huguet Communications on Pure and Applied Mathematics 66 (9), 1464-1494, 2013 | 31 | 2013 |
Global phase-amplitude description of oscillatory dynamics via the parameterization method A Pérez-Cervera, G Huguet Chaos: An Interdisciplinary Journal of Nonlinear Science 30 (8), 2020 | 23 | 2020 |
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 | 23 | 2011 |
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 | 18 | 2020 |
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 | 15 | 2017 |
Phase-locking patterns underlying effective communication in exact firing rate models of neural networks D Reyner-Parra, G Huguet PLoS computational biology 18 (5), e1009342, 2022 | 11 | 2022 |
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 | 10 | 2019 |
The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability A Pérez-Cervera, P Ashwin, G Huguet, T M. Seara, J Rankin The Journal of Mathematical Neuroscience 9 (1), 7, 2019 | 8 | 2019 |
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 | 8 | 2008 |
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 | 7 | 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 | 7 | 2008 |