Spatiotemporal order out of noise, Rev.Mod.Phys, vol.79, pp.829-882, 2007. ,
Delay-induced stochastic oscillations in gene regulation, Proc. Natl. Acad. Sci. USA, vol.102, pp.14593-14598, 2013. ,
Key role of coupling, delay, and noise in resting brain fluctuations, Proc. Natl. Acad. Sci. USA, vol.106, pp.10302-10307, 2009. ,
Oscillatory activity in electrosensory neurons increases with the spatial correlation of the stochastic input stimulus, Phys. Rev. Lett, vol.93, p.48101, 2004. ,
Stochastic resonance and the benefits of noise: from ice ages to crayfish and squids, Nature, vol.373, pp.33-36, 1995. ,
Noise in the nervous system, Nature Rev. Neurosci, vol.9, pp.292-303, 2008. ,
Noise in Spatially Extended Systems, 1999. ,
Self-Organization in Non-Equilibrium Systems: From Dissipative Structures to Order Through Fluctuations, 1977. ,
Noise induced state transitions, intermittency and universality in the noisy Kuramoto-Sivashinsky equation, Phys. Rev. Lett, vol.106, p.60602, 2011. ,
Additive noise destroys the random attractor close to bifurcations, Nonlinearity, vol.29, p.3934, 2016. ,
Additive noise-induced Turing transitions in spatial systems with application to neural fields and the Swift-Hohenberg equation, Physica D, vol.237, pp.755-773, 2008. ,
URL : https://hal.archives-ouvertes.fr/inria-00332982
Additive noise quenches delay-induced oscillations, Europhys. Lett, vol.102, p.60003, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00847167
Stimulus statistics shape oscillations in nonlinear recurrent neural networks, J. Neurosci, vol.35, pp.2895-2903, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01091816
Dynamic control of synchronous activity in networks of spiking neurons, PLoS One, vol.11, p.161488, 2016. ,
Critical phenomena and noise-induced phase transitions in neuronal networks, Phys. Rev. E, vol.89, p.12701, 2014. ,
Dynamics of networks of randomly connected excitatory and inhibitory spiking neurons, J. Physiol. Paris, vol.94, pp.445-463, 2000. ,
, , 2004.
Dynamic Patterns: The Self-Organization of Brain and Behavior, 1995. ,
Dynamic balance of excitation and inhibition in human and monkey neocortex, Scientific Reports, vol.6, p.23176, 2016. ,
Biological Chemistry (Harper and Row, 1966. ,
The self-made tapestry -pattern formation in nature, 1999. ,
The burst-suppression electroencephalogram, Am. J. Electroneurodiagnostic Technol, vol.49, pp.333-341, 2009. ,
Characteristics of sparsely encoded associative memory, Neural Networks, vol.2, pp.451-457, 1989. ,
Computing with neural circuits: a model, Science, vol.233, pp.625-633, 1986. ,
Excitatory and inhibitory interactions in localized populations of model neurons, Biophys. J, vol.12, pp.1-24, 1972. ,
Scale-freeness or partial synchronization in neural phase oscillator networks: Pick one or two, Neuroimage, vol.180, pp.428-441, 2018. ,
A quantitative analysis of the local connectivity between pyramidal neurons in layers 2/3 of the rat visual cortex, Biol.Cybern, vol.82, pp.111-121, 2000. ,
On random graphs, I. Publicationes Mathematicae, vol.6, pp.209-297, 1959. ,
The Fokker-Planck equation -Methods of solution and applications, 1989. ,
The anaesthetic propofol shifts the frequency of maximum spectral power in EEG during general anaesthesia: analytical insights from a linear model, Front. Comp. Neurosci, vol.7, issue.2, 2013. ,
Estimating the time course of coherence between single-trial signals: an introduction to wavelet coherence, Neurophysiol. Clin, vol.32, pp.157-174, 2002. ,
Estimating and interpreting the instantaneous frequency of a signal -part 1: Fundamentals. Proc, IEEE, vol.80, pp.520-538, 1992. ,
Comparison of hilbert transform and wavelet methods for the analysis of neuronal synchrony, J. Neurosci. Methods, vol.111, pp.83-98, 2001. ,
Phase synchronization: from theory to data analysis. Moss F, Gielen S, editors, Handbook of Biological Physics, vol.4, pp.279-321, 2000. ,
Mutual phase synchronization in single trial data, Chaos and Complexity Letters, vol.2, p.6, 2006. ,
Suppression of underlying neuronal fluctuations mediates EEG slowing during general anaesthesia, Neuroimage, vol.179, pp.414-428, 2018. ,
Shaping intrinsic neural oscillations with periodic stimulation, J. Neurosci, vol.36, pp.5328-5339, 2016. ,
Slow dynamics and high variability in balanced cortical networks with clustered connections, Nature Neurosci, vol.15, p.1498, 2012. ,
Efficient codes and balanced networks, Nature Neurosci, vol.19, p.375, 2006. ,
, Murray J. Mathematical Biology, 1989.
Numerical Solution of Stochastic Differential Equations, 1992. ,
Amplitude equations for locally cubic non-autonomous nonlinearities, SIAM J. Appl. Dyn. Syst, vol.2, pp.464-486, 2003. ,
Coherence resonance in a noise-driven excitable system, Phys.Rev.Lett, vol.78, pp.775-778, 1997. ,
Coherence resonance in a chemical excitable system driven by coloured noise, Philos Trans A Math Phys Eng Sci, vol.366, pp.381-395, 2008. ,
Synchronized rhythmic oscillation in a noisy neural network, J. Phys. Soc. Japan, vol.72, pp.3291-3296, 2003. ,
Arousal-revisiting the reticular activating system, Science, vol.272, p.225, 1996. ,
Anesthetic effects on the thalamus, reticular formation and related systems, Thal. Rel. Syst, vol.3, pp.1-7, 2005. ,
Lateral inhibitory networks: synchrony edge enhancement and noise reduction, Proc. IEEE International Joint Conference on Neural Networks, pp.1003-1009, 2011. ,
Landau-Ginzburg theory of cortex dynamics: Scale-free avalanches emerge at the edge of synchronization, Proc. Natl. Acad. Sci. (USA), pp.1356-1365, 2018. ,
Stochastic resonance mediates the state-dependent effect of periodic stimulation on cortical alpha oscillations, p.32054, 2017. ,