Simple models for reading neuronal population codes, Proceedings of the National Academy of Sciences, vol.90, issue.22, pp.10749-10753, 1993. ,

Information processing with population codes, Nature Reviews Neuroscience, vol.1, issue.2, pp.125-132, 2000. ,

Inference and computation with population codes, Annual Review of Neuroscience, vol.26, issue.1, pp.381-410, 2003. ,

Transient dynamics for neural processing, Science, vol.321, issue.5885, pp.48-50, 2008. ,

Transient cognitive dynamics, metastability, and decision making, PLOS Computational Biology, vol.4, issue.5, pp.1-9, 2008. ,

Computational significance of transient dynamics in cortical networks, European Journal of Neuroscience, vol.27, issue.1, pp.217-227, 2008. ,

State-dependent computations: spatiotemporal processing in cortical networks, Nature Reviews Neuroscience, vol.10, issue.2, pp.113-125, 2009. ,

Timing and neural encoding of somatosensory parametric working memory in macaque prefrontal cortex, Cerebral Cortex, vol.13, issue.11, pp.1196-1207, 2003. ,

Rapid Sequences of Population Activity Patterns Dynamically Encode Task-Critical Spatial Information in Parietal Cortex, Journal of Neuroscience, vol.30, issue.35, pp.11640-11653, 2010. ,

Heterogenous population coding of a short-term memory and decision task, Journal of Neuroscience, vol.30, issue.3, pp.916-929, 2010. ,

Variability in neuronal activity in primate cortex during working memory tasks, Neuroscience, vol.146, issue.3, pp.1082-1108, 2007. ,

Robust timing and motor patterns by taming chaos in recurrent neural networks, Nature Neuroscience, vol.16, pp.925-933, 2013. ,

Computing by robust transience: how the fronto-parietal network performs sequential, category-based decisions, Neuron, vol.93, issue.6, pp.1504-1517, 2017. ,

Encoding sensory and motor patterns as time-invariant trajectories in recurrent neural networks. eLife, vol.7, 2018. ,

Temporal complexity and heterogeneity of single-neuron activity in premotor and motor cortex, Journal of Neurophysiology, vol.97, issue.6, pp.4235-4257, 2007. ,

Transient dynamics versus fixed points in odor representations by locust antennal lobe projection neurons, Neuron, vol.48, issue.4, pp.661-673, 2005. ,

Demixing population activity in higher cortical areas, Frontiers in Computational Neuroscience, vol.4, p.126, 2010. ,

Context-dependent computation by recurrent dynamics in prefrontal cortex, Nature, vol.503, pp.78-84, 2013. ,

Dimensionality reduction for large-scale neural recordings, Nature Neuroscience, vol.17, issue.11, pp.1500-1509, 2014. ,

Demixed principal component analysis of neural population data, eLife, vol.5, p.10989, 2016. ,

Go/No-Go task engagement enhances population representation of target stimuli in primary auditory cortex, Nature Communications, vol.9, issue.1, p.29955046, 2018. ,

Cortical control of arm movements: a dynamical systems perspective, Annual Review of Neuroscience, vol.36, issue.1, pp.337-359, 2013. ,

Cortical preparatory activity: representation of movement or first cog in a dynamical machine?, Neuron, vol.68, issue.3, pp.387-400, 2010. ,

Neural population dynamics during reaching, Nature, vol.487, pp.51-56, 2012. ,

Neural population dynamics during reaching are better explained by a dynamical system than representational tuning, PLOS Computational Biology, vol.12, issue.11, pp.1-22, 2016. ,

Flexible timing by temporal scaling of cortical responses, Nature Neuroscience, vol.21, p.29203897, 2018. ,

Flexible sensorimotor computations through rapid reconfiguration of cortical dynamics, Neuron, vol.98, issue.5, pp.1005-1019, 2018. ,

Optimal control of transient dynamics in balanced networks supports generation of complex movements, Neuron, vol.82, issue.6, pp.1394-1406, 2014. ,

Dynamic control of response criterion in premotor cortex during perceptual detection under temporal uncertainty, Neuron, vol.86, issue.4, pp.1067-1077, 2015. ,

Neural circuits as computational dynamical systems, Current Opinion in Neurobiology, vol.25, pp.156-163, 2014. ,

Memory traces in dynamical systems, Proceedings of the National Academy of Sciences, vol.105, issue.48, pp.18970-18975, 2008. ,

Balanced amplification: a new mechanism of selective amplification of neural activity patterns, Neuron, vol.61, issue.4, pp.635-648, 2009. ,

Memory without feedback in a neural network, Neuron, vol.61, issue.4, pp.621-634, 2009. ,

Non-normal amplification in random balanced neuronal networks, Physical Review E, vol.86, p.11909, 2012. ,

Properties of networks with partially structured and partially random connectivity, Physical Review E, vol.91, p.12820, 2015. ,

Theoretical Neuroscience, Computational and Mathematical Modeling of Neural Systems, 2005. ,

Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators, 2005. ,

Hydrodynamic stability without eigenvalues. Science, vol.261, pp.578-584, 1993. ,

Alternatives to resilience for measuring the responses of ecological systems to perturbations, Ecology, vol.78, issue.3, pp.653-665, 1997. ,

Matrix Analysis, 2012. ,

The circular law. Teoriya Veroyatnostei i ee Primeneniya, vol.29, pp.669-679, 1984. ,

Characteristic vectors of bordered matrices with infinite dimensions, Annals of Mathematics, vol.62, issue.3, pp.548-564, 1955. ,

On the Distribution of the Roots of Certain Symmetric Matrices, Annals of Mathematics, vol.67, issue.2, pp.325-327, 1958. ,

Neural networks and physical systems with emergent collective computational abilities, Proceedings of the National Academy of Sciences, vol.79, issue.8, pp.2554-2558, 1982. ,

Linking connectivity, dynamics, and computations in low-rank recurrent neural networks, Neuron, vol.99, issue.3, pp.609-623, 2018. ,

Short-term memory in orthogonal neural networks, Physical Review Letters, vol.92, p.148102, 2004. ,

Correlations between synapses in pairs of neurons slow down dynamics in randomly connected neural networks, Physical Review E, vol.97, p.62314, 2018. ,

Population coding and network dynamics during OFF responses in auditory cortex, 2019. ,

Generalized Stability Theory. Part I: Autonomous Operators, Journal of the Atmospheric Sciences, vol.53, issue.14, pp.2025-2040, 1996. ,

Inhibitory stabilization of the cortical network underlies visual surround suppression, Neuron, vol.62, issue.4, pp.578-592, 2009. ,

Temporal association in asymmetric neural networks, Physical Review Letters, vol.57, pp.2861-2864, 1986. ,

Is cortical connectivity optimized for storing information?, Nature Neuroscience, vol.19, pp.749-755, 2016. ,

Nonlinear dynamics and chaos. With applications to Physics, Chemistry, and Engineering, 2015. ,

Ordinary differential equations, 1973. ,

The matrix exponential, SIAM Review, vol.38, issue.3, pp.507-512, 1996. ,

Outliers in the spectrum of iid matrices with bounded rank perturbations. Probability Theory and Related Fields, vol.155, pp.231-263, 2013. ,

The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices, Advances in Mathematics, vol.227, issue.1, pp.494-521, 2011. ,

URL : https://hal.archives-ouvertes.fr/hal-00423593