Axel Hutt

Directeur de Recherche

Project team MIMESIS

INRIA Grand Est

1, place de l’Hôpital

67000 Strasbourg 


email: [email protected]

ORCID: 0000-0003-0041-7431



Axel Hutt

Research interest:

- data assimilation and forecasting in complex systems

- nonlinear stochastic processes in complex delayed systems,

- modeling and spectral analysis of non-stationary multivariate data

- Applications :

-- general anaesthesia 

-- electromagnetic stimulation (TMS/TES)

Brief CV


Editorial activity:

Associate Editor Journal of Clinical Medicine

Chief Section Editor Frontiers In Applied Mathematics and Statistics, section Dynamical Systems 

Research Topics


General anaesthesia: from theory to experiment



Stability: A Current Overview



Data Assimilation and Control: Theory and Applications in Life Sciences   



Data Assimilation of Nonlocal Observations in Complex Systems



Recurrence Analysis of Complex Systems Dynamics



Machine Learning in Natural Complex Systems



Modelling collective motion across scales



Edited books:              




- Frontiers Research Topic on Machine Learning in Natural Complex Systems

- Book Synergetics, edited by A.Hutt and H. Haken

- S. Rich et al, Neurostimulation stabilizes spiking neural networks by disrupting seizure-like oscillatory transitions published in  Scientific Reports

- project A/D Drugs 


Publication statistics in Google Scholar




F. Guarracino and A. Hutt,
Editorial: Stability: A Current Overview
Front. Appl. Math. Stat., in press, doi: 10.3389/fams.2020.610153


S. Rich, A. Hutt, F. K. Skinner, T. A. Valiante and J. Lefebvre, 
Neurostimulation stabilizes spiking neural networks by disrupting seizure-like oscillatory transitions,
Scientific Reports 10, 15408 (2020). doi: 10.1038/s41598-020-72335-6  


P. beim Graben, A. Hutt, N. Marwan, C. Uhl and C.L. Webber Jr.,
Editorial: Recurrence Analysis of Complex Dynamics
Front. Appl. Math. Stat. 6:33 (2020) doi: 10.3389/fams.2020.00033 


A. Hutt, 
Divergence of the Ensemble Transform Kalman Filter (LETKF) by nonlocal observations,
Frontiers in Applied Mathematics and Statistics 6:42 (2020)  doi:10.3389/fams.2020.00042


J. Schroettle, M. Weissmann, L. Scheck and A. Hutt, 
Assimilating visible and thermal radiances in idealized simulations of deep convection
Monthly Weather Review 1-15 (2020). doi: 10.1175/MWR-D-20-0002.1 


A. Hutt, J. Lefebvre, D. Hight and H. Kaiser,
Phase coherence induced by additive Gaussian and non-Gaussian noise in excitable networks with application to burst suppression-like brain signals,
Frontiers in Applied Mathematics and Statistics 5:69 (2020) 


Axel Hutt* , C Schraff, H Anlauf, L BachM BaldaufE BauernschubertA CressR FaulwetterF FundelC Köpken-WattsH ReichA Schomburg, J Schröttle, K StephanO StillerM Weissmann and R Potthast, 
Assimilation of SEVIRI water vapour channels with an ensemble Kalman filter on the convective scale
Frontiers in Earth Science 8:70 (2020)





A. Hutt, 
Brain Connectivity Reduction Reflects Disturbed Self-Organisation of the Brain: Neural Disorders and General Anaesthesia,
In: V. Cutsuridis, Multiscale models of Brain Disorders, Springer (2019)


A. Hutt, 
Cortico-thalamic circuit model for bottom-up and top-down mechanism in general anaesthesia involving the reticular activating system,
Arch. Neurosci., 6(Brain Mapping):e95498. doi: 10.5812/ans.95498 (2019)


A. Hutt, W. Stannat and R. Potthast, 
Editorial: Data Assimilation and Control: Theory and Applications in Life Sciences,
Frontiers in Applied Mathematics and Statistics 5: 25 (2019)


A. Hutt,
Entwickle die Idee eines eigenen Weges und lass Dich nicht beirren
In: N. Niebuhr, J. Jansen and K. Spindeldreier Physik studiert - und dann? - 
24 Interviews aus der Arbeitswelt, pp. 57-64 (2019)


A. Hutt and R. Potthast, 
Forecast of Spectral Features by Ensemble Data Assimilation,
Frontiers of Applied Mathematics and Statistics 4: 52 (2018)


A. Hutt, J. Lefebvre, D. Hight and J. Sleigh,
Suppression of underlying neuronal fluctuations mediates EEG slowing during general anaesthesia, 
Neuroimage 179: 414-428 (2018)

  F. Kurzrock, S. Cros, F. C. Ming, J. A. Otkin, A. Hutt, L. Linguet, G. Lajoie and R. Potthast, 
A review of the use of geostationary satellite observations in regional-scale models for short-term cloud forecasting
Meteorologische Zeitschrift 27(4): 277 - 298 (2018) 

A. Hutt, J. Griffiths, C.S. Herrmann and J. Lefebvre,
Effect of Stimulation Waveform on the Cortical Alpha Oscillations,
Frontiers in Neuroscience 12:376 (2018) 


M. Hashemi, A. Hutt, L. Buhry and J. Sleigh, 
Optimal Model Parameter Fit to EEG Power Spectrum Features Observed During General Anesthesia
Neuroinformatics 16(2):231-251 (2018) 


 J. Alswaihli, R. Potthast, I. Bojak, D. Saddy and A. Hutt, 
Kernel Reconstruction for Delayed Neural Field Equations,
J. Math. Neurosci. 8:3 (2018)


 A. Hutt and J. Lefebvre, 
Additive Noise Tunes the Self-Organization in Complex Systems,
In: Synergetics, Springer Encyclopedia of complexity and Systems Sciences (2018), accepted





J. Lefebvre, A. Hutt and F. Frohlich, Stochastic Resonance Mediates the State-Dependent Effect of Periodic Stimulation on Cortical Alpha Oscillations,
eLife 6:e32054 (2017)

  A. Hutt and P. beim Graben, Sequences by metastable attractors: interweaving dynamical systems and experimental data,
Frontiers in Applied Mathematics and Statistics 3:11 (2017) 

P. Wollstadt, K.K. Sellers, L. Rudelt, V. Priesemann, A. Hutt, F. Froehlich and M.l Wibral, Breakdown of local information processing may underlie isoflurane anesthesia effects,
PLoS Computational Biology 13(6): e1005511 (2017) 


M. Hashemi, A. Hutt , D. Hight and J. Sleigh, Anesthetic action on the transmission delay between cortex and thalamus explains the beta buzz observed under propofol anesthesia,
PLoS One 12(6): e0179286 


M. Fedotenkova, P. beim Graben, J. Sleigh, A. Hutt, Time-Frequency Representations as Phase Space Reconstruction in Symbolic Recurrence Structure Analysis,
In: I. Rojas, H. Pomares and O. Valenzuela (Eds.). Advances in Time Series Analysis and Forecasting, pp. 89-102 (2017)

  T. Tosic, K. K. Sellers, F. Frohlich, M. Fedotenkova, P. beim Graben and A. Hutt, Statistical Frequency-Dependent Analysis of Trial-to-Trial Variability in Single Time Series by Recurrence Plots,
Front. Syst. Neurosci. 9:184.(2016)


C. Herrmann, M. M. Murray, S. Ionta, A. Hutt and J. Lefebvre, Shaping neural oscillations with periodic stimulation,
Journal of Neuroscience  36(9): 5328-37 (2016) 


P. beim GrabenK. K. SellersF. Fröhlich and A. Hutt, Optimal estimation of recurrence structures from time series,
Europhysics Letters 114(3): 38003 (2016)


A. Hutt, A. Mierau and J. Lefebvre, Dynamic Control of Synchronous Dynamics in Networks of Spiking Neurons,
PLoS One, 11(9):e0161488 (2016)

  A. Hutt and J. Lefebvre, Stochastic center manifold analysis in scalar nonlinear systems involving distributed delays and additive noise
Markov Processes and Related Fields 

22, 555–572





M. Hashemi and A. Hutt, A thalamocortical model to explain EEG during anaesthesia,
In: G. Wunner and A. Pelster,  Selforganization in Complex Systems: The Past, Present, and Future of Synergetics, 305-312 (2015)


A. Hutt and J. Lefebvre, Periodic External Input Tunes the Stability of Delayed Nonlinear Systems: From the Slaving Principle to Center Manifolds, ,
In: G. Wunner and A. Pelster,  Selforganization in Complex Systems: The Past, Present, and Future of Synergetics, 
8-24  (2015)


P. Wollstadt, K.K. Sellers, A. Hutt, F. Frohlich and M. Wibral, Anaesthesia-related changes in information transfer are partly caused by reduction in local information generation,
Proceedings of
the 37th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Milan: 4045-40480 (2015)


E. Nichols and A. Hutt, Neural Field Simulator: two-dimensional spatio-temporal dynamics involving finite transmission speed,
Frontiers in Neuroinformatics, 9:25 (2015) 


A. Hutt and A.G. Hudetz, Editorial: General anesthesia: from theory to experiments, 
Front. Syst. Neurosci., 9: 105 (2015)


A. Hutt, M. Hashemi and P. beim Graben, How to render Neural Fields more realistic,
In B. Bhattacharya and F. N. Chowdhury (Eds.),Validating Neuro-Computational Models of Neurological and Psychiatric Disorders, 141-159 (2015)


M. Hashemi, A. Hutt and J. Sleigh, How the cortico-thalamic feedback affects the EEG power spectrum over frontal and occipital regions during propofol-induced anaesthetic sedation,
J. Comput. Neuroscience,39(1), 155 (2015)


C. Schwappach, A. Hutt and P. beim Graben, Metastable dynamics in heterogeneous neural fields,
Frontiers in Systems Neuroscience 9, 97 (2015)


Kristin Sellers, Davis Bennett, Axel Hutt, James Williams and Flavio Frohlich, Awake versus Anesthetized: Layer-Specific Sensory Processing in Visual Cortex and Functional Connectivity between Cortical Areas
Journal of Neurophysiology 113(10):3798-815 (2015)


J. Lefebvre, A. Hutt, J.-F. Knebel, K. Whittingstall and M. Murray, Stimulus Statistics shape oscillations in nonlinear recurrent neural networks
Journal of Neuroscience 35(7), 2895-2903 (2015)


P. beim Graben and A. Hutt, Detecting event-related recurrences by symbolic analysis: Applications to human language processing, 
Philosphical Transactions of the Royal Society A 373:20140089 (2015)





A. Hutt and N. Rougier, Numerical simulation scheme of one- and two dimensional neural fields involving space-dependent delays.
In: S. Coombes et al. (Eds.), Neural Fields, Springer, 175-185 (2014)


M. Hashemi, A. Hutt and J. Sleigh, Anesthetic action on extra-synaptic receptors: effects in neural population models of EEG activity, 
Frontiers in Systems Neuroscience 8:232 (2014)


A. Hutt and J. Lefebvre, Stochastic center manifold analysis in scalar nonlinear systems involving distributed delays and additive noise
Markov Processes and Related Fields, in press (2014) 


A. Hutt and L. Buhry, Study of GABAergic extra-synaptic tonic inhibition in single neurons and neural populations by traversing neural scales: application to propofol-induced anaesthesia
Journal of Computational Neuroscience 37(3), 417-437 (2014)


P. beim Graben and A. Hutt, Attractor and saddle node dynamics in heterogeneous neural fields
EPJ Nonlinear Biomedical Physics 2, 4 (2014)


L. Zhang and A. Hutt, Traveling Wave Solutions of Nonlinear Scalar Integral Differential Equations Arising from Synaptically Coupled Neuronal Networks
Journal of Applied Analysis and Computation 4(1), 1-68 (2014)





K. K. Sellers, D. V. Bennett, A. Hutt and F. Frohlich, Anesthesia Differentially Modulates Spontaneous Network Dynamics by Cortical Area and Layer,
Journal of Neurophysiology 110, 2739-2751 (2013)


A. Hutt, Neural Field Model, Continuum
Springer Encyclopedia in Computational Neuroscience (2013)


A. Hutt, Pattern Formation in Neural Population Models
Springer Encyclopedia in Computational Neuroscience (2013)


A. Hutt, J. Sleigh, A. Steyn-Ross and M. Steyn-Ross, General anaesthesia
Scholarpedia 8(8):30485 (2013)


A. Hutt and L. Zhang, Distributed nonlocal feedback delays may destabilize fronts in neural fields, distributed transmission delays do not
Journal Mathematical Neuroscience 3, 9 (2013)


T. Schubert, M. Palazova and A. Hutt, The time course of temporal attention effects on non-conscious prime processing
Attention, Perception & Psychophysics 75(8), 1667-1686 (2013)


J. Lefebvre and A. Hutt, Additive noise quenches delay-induced oscillations,
Europhysics Letters 102 60003 (2013)


P. beim Graben and A. Hutt, Detecting metastable states of dynamical systems by recurrence-based symbolic dynamics,
Physical Review Letters 110, 154101 (2013) 


A. Hutt, The anaesthetic propofol shifts the frequency of maximum spectral power in EEG during general anaesthesia: analytical insights from a linear model
Frontiers in Computational Neuroscience 7, 2 (2013)





J. Lefebvre, A. Hutt, V.G. LeBlanc and A. Longtin, Reduced dynamics for delayed systems with harmonic or stochastic forcing,
22, 043121 (2012)


A. Hutt, J. Lefebvre and A. Longtin, Delay stabilizes stochastic systems near an non-oscillatory instability,
Europhysics Letters 98, 20004 (2012)


A. Hutt, The population firing rate in the presence of GABAergic tonic inhibition in single neurons and application to general anaesthesia,
Cognitive Neurodynamics 6, 227-237 (2012)





M. Rio, A. Hutt, M. Munk and B. Girau, Partial amplitude synchronization detection in brain signals using Bayesian Gaussian mixture models,
Journal of Physiology (Paris) 1-3:105, 98-105 (2011) 


A. Hutt, A neural population model of the bi-phasic EEG-power spectrum during general anaesthesia, 
in A. Hutt (Ed.), Sleep and Anesthesia: Neural correlates in theory and experiments, Springer (2011)


N.Rougier and A.HuttSynchronous and Asynchronous Evaluation of Dynamic Neural Fields,
J.Difference Eqs.
 Appl. 17:8, 1119-1133 (2011)





A. Hutt and N. Rougier, Activity spread and breathers induced by finite transmission speeds in two-dimensional neural fields,
Phys. Rev. E 82, R055701 (2010) 
(also in the Virtual Journal of Biological Research 20(10), 2010


A.HuttSpatio-temporal instabilities in neural fields and the effects of additive noise
Modelling Phase Transitions in the Brain, D.A.Steyn-Ross and M.L.Steyn-Ross, ed. (Springer), pp. 53-80 (2010)





A.Hutt, Sleep and anesthesia,
Frontiers in Neuroscience 3(3), 408-409 (2009)


A.Hutt, Oscillatory activity in excitable neural systems,
Contemporary Physics 51(1), 3-16 (2009)


W.Taouali, F.Alexandre, A.Hutt, N.Rougier, Asynchronous evaluation as an efficient and natural way to compute neural networks, 
Numerical Analysis and Applied Mathematics: Intern. Conf. Num. Ana. Appl. Math. 2009. AIP Conference Proceedings 1168, 554-558 (2009).


A.Hutt and A.Longtin, Effects of the anesthetic agent propofol on neural populations,
Cognitive Neurodynamics 4(1), 37-59 (2009)


H.Schmidt, A.Hutt and L.Schimansky-Geier, Wave fronts in inhomogeneous neural field models,
Physica D 238 (14), 1101-1112 (2009)


A.HuttFinite Propagation Speeds in Spatially Extended Systems,
In: Complex Time-Delay Systems, F. Atay, ed. (Springer, Berlin), pp. 151-176 (2009)


A.Hutt and M.H.J.MunkDetection of phase synchronization in multivariate single brain signals by a clustering approach,
In: Coordinated Activity in the Brain: measurements and relevance to brain function and behaviour, R. Wennberg and J. L. Perez Velazquez, Eds. (Springer, 2009) , pp. 149-164 (2009)





A.HuttAdditive noise may change the stability of nonlinear systems,
Europhys. Lett. 84, 34003 1-4 (2008)


A.Hutt, C.Sutherland and A.Longtin, Driving neural oscillations with correlated spatial input and topographic feedback,
Physical Review E 78, 021911 1-7 (2008) , (also in the Virtual Journal of Biological Research 16(5), 2008


A.Hutt and L.Schimansky-Geier, Anesthetic-induced transitions by propofol modeled by nonlocal neural populations involving two neuron types,
J.Biol.Phys. 34(3-4), 433-440 (2008)


A.HuttLocal excitation-lateral inhibition interaction yields oscillatory instabilities in nonlocally interacting systems involving finite propagation delay,
Physics Letters A 372(5), 541-546 (2008)


A.Hutt, A.Longtin and L.Schimansky-Geier, Additive noise-induced Turing transitions in spatial systems with application to neural fields and the Swift-Hohenberg equation,
Physica D 237, 755-773 (2008)




A.Hutt, A.Longtin and L.Schimansky-Geier, Additive global noise delays Turing bifurcations,
Physical Review Letters 98, 230601 01-04 (2007)


A.HuttGeneralization of the reaction-diffusion, Swift-Hohenberg, and Kuramoto-Sivashinsky equations and effects of finite propagation speeds,
Physical Review E 75, 026214 1-8 (2007)


A.Hutt and F.M.Atay, Spontaneous and evoked activity in extended neural populations with gamma-distributed spatial interactions and transmission delay,
Chaos, Solitons and Fractals 32, 547-560 (2007)


A.Hutt and M.H.J.Munk, Mutual phase synchronization in single trial data,
Chaos and Complexity Letters 2 (2/3), 225-246 (2007)


A.Hutt and M.Schrauf, Detection of transient synchronization in multivariate brain signals,application to event-related potentials,
Chaos and Complexity Letters 3(1), 1-24 (2007) also in Progress in Chaos and Complexity Research, F.F. Orsucci and N. Sala (Eds.), Nova Publisher (2009)


F. M. Atay and A. HuttDynamics of neural fields with distributed transmission speeds
Proc. ECMTB 2005: European Conf. Mathematical and Theoretical Biology , Dresden, 2005 (Birkhauser Boston, 2007)




F.M.Atay and A.HuttNeural fields with distributed transmission speeds and long-range feedback delays,
SIAM Journal Applied Dynamical Systems 5(4), 670-698 (2006) 


A.Hutt and F.M. Atay, Effects of distributed transmission speeds on propagating activity in neural populations,
Physical Review E 73, 021906 1-5 (2006)
 (also in the Virtual Journal of Biological Research , February 15 (2006)




A.Hutt and T.D.Frank, Critical fluctuations and 1/f -activity of neural fields involving transmission delays,
Acta Physica Polonica A 108(6), 1021-1040 (2005) 


A.Hutt and F.M.Atay, Analysis of nonlocal neural fields for both general and gamma-distributed connectivities,
Physica D 203(1-2), 30-54 (2005)


F.Atay and A.HuttStability and Bifurcations in Neural Fields with Finite Propagation Speed and General Connectivity,
SIAM J. Appl. Math. 65(2), 644-666 (2005)




A.HuttEffects of nonlocal feedback on traveling fronts in neural fields subject to transmission delay,
Physical Review E 70, 052902 1-4 (2004), (also in the Virtual Journal of Biological Research , November 15 (2004)


A.HuttAn Analytical Framework For Modeling Evoked and Event-Related Potentials,
Int. J. Bifurcation and Chaos 14(2), 653-666 (2004) 




A.Hutt, A.Daffertshofer and U.Steinmetz, Detection of phase synchronisation in non-stationary multivariate time series and application to phase ensembles and chaotic data,
Physical Review E 68, 036219 1-10 (2003)


A.Hutt and H.Riedel, Analysis and Modeling of Non-stationary Multivariate Time Series and Application to Middle Latency Auditory Evoked Potentials,
Physica D 177 (1-4), 203-232 (2003)


A.Hutt, M.Bestehorn and T.Wennekers, Pattern formation in intracortical neuronal fields,
Network: Computation in Neural Systems 14, 351-368 (2003)




A.Hutt and F.Kruggel, Fixed Point Analysis: Dynamics of Nonstationary spatiotemporal signals, 
in S.Boccaletti et al. (Ed.), "Space-time chaos: Charachterization, control and synchronization",World Scientific, 2002


C.Uhl, A.Hutt and F.Kruggel, Improvement of Source Localization by Dynamical Systems Based Modelling,
Brain Topography 13(3), 219-226 (2001)


A.Hutt, M.Svensen, F.Kruggel and R.Friedrich, Detection of fixed points in spatiotemporal signals by a clustering method,
Physical Review 61(5),R4691-4693 (2000)


A.Hutt, C. Uhl and R.Friedrich, Analysis of spatiotemporal signals: A method based on perturbation theory
Physical Review E 60(2),1350-1358 (1999)




A.Hutt, Untersuchung einer neuronalen Feldgleichung mittels eines MEG-Experiments am Menschen, Diploma Thesis at Institute for Theoretical Physics and Synergetics, University of Stuttgart (1997) 


A.Hutt, Methoden zur Untersuchung der Dynamik raumzeitlicher Signale, PhD-Thesis, University of Stuttgart at Max Planck-Instituite of Cognitive Neuroscience Leipzig, MPI Series in Cognitive Neuroscience (2001)


A.Hutt (Editor)Sleep and Anesthesia: Neural correlated in theory and experiments, Springer-Verlag (2011)

Reports, Proceedings and Preprints



A.Hutt, Studie zur Kuehlung eines Zylinders konstanter Oberflaechentemperatur als Teilproblem eines geplanten Schwerelosigkeitexperiments, Interner Bericht DLR-IB 94 103, Deutsche Forschungs- und Versuchsanstalt fuer Luft- und Raumfahrt (DLR) (1994) 


Frederic Alexandre, Jeremy Fix, Axel Hutt, Nicolas Rougier, Thierry Vieville, On practical neural field parameters adjustment, Proceedings of Neurocomp 2009, Marseille



A.HuttLocal excitation-lateral inhibition interaction yields wave instabilities in spatial systems involving finite propagation delaynlin.PS/0610037 (2006)


A.Hutt and F.Kruggel, Extension of fixed point clustering: A cluster criterionnlin.CD/0102032 (2001)


M. Rio, A. Hutt and B. Girau, Partial amplitude synchronization detection in brain signals using Bayesian Gaussian mixture models, Proceedings of Neurocomp 2010 


M. Rio, A. Hutt and B. Girau, EEG segmentation through time­-varying PCA, Proceedings of Neurocomp 2009


Published Abstracts


A.Hutt and H.Haken, "Rekonstruktion einer MEG-Dynamik mittels neuronaler Feldtheorie", 
in "Verhandlungen der DPG", VI(33), DY 45.9 (1998) 


C.Uhl, M.Admiraal, A.Hutt, "Raumzeitliche Modelle kognitiver EEG-Studien ", 
in "Verhandlungen der DPG", VI(33), DY 18.15 (1998) 


A.Hutt, C.Uhl and R.Friedrich,"Analyse raumzeitlicher Signale: Stoerungstheoretischer Ansatz", 
in "Verhandlungen der DPG", VI(34), DY 36.5 (1999) 


A.Hutt, F.Kruggel, R.Friedrich, "Dynamische Zustaende in raumzeitlichen Signalen, Anwendung auf simulierte Daten und ERP-Datensaetze", 
in "Verhandlungen der DPG", VI(35), DY 46.38 (2000) 


A.Hutt, F.Kruggel, C.S. Herrmann, " Fixed Point Analysis: Objective Detection of Components in ERPs and MLAEPs by a Clustering Algorithm", 
Journal of Cognitive Neuroscience, Supplement (2001) 


A.Hutt, "Spatiotemporal modelling of EEG/MEG", 
10th German Mapping Meeting, Giessen, September 2001, Brain Topography 14(4), 347 (2002) 


A.Hutt, "Segmentation of Multivariate Time Series and Application to ERP-data", 
11th German Mapping Meeting, Giessen, September 2002, Brain Topography 15(4), 266 (2003) 


A.Hutt, J.Polzehl, "Spatial adaptive signal detection in fMRT ", 
Presented at the 9th International Conference on Functional Mapping of the Human Brain, June 19-22, 2003, New York,USA. NeuroImage 19(2)


A.Hutt, M.Schrauff, "Detection of Mutual synchronization in single ERPs", 
13th German EEG/EP Mapping Meeting, Giessen, December 2004, Brain Topography 17(3), 187 (2005)


A.Hutt, L. Schimansky-Geier and A. Longtin, The study of nonlocal neural populations involving two neuron types and the effect of propofol
BMC Neuroscience 2007, 8(Suppl 2):S11