F. Eq, WHITE v. PERRIAM, Victorian Reports, vol.5 VLR (Eq), issue.31, pp.31-32, 1876.

F. Larry, S. B. Abbott, and . Nelson, Synaptic plasticity: taming the beast, Nature neuroscience, vol.365, pp.1178-1183, 2000.

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formula, p.367

H. Van-haeringen and L. P. Kok, Table errata: {\it Handbook of mathematical functions, with formulas, graphs, and mathematical tables}\ [Dover, New York, 1966; MR {\bf 34} \#8606], Mathematics of Computation, vol.41, issue.164, p.780, 1983.

S. Amari, Dynamics of pattern formation in lateral-inhibition type neural fields, Biological Cybernetics, vol.27, issue.2, pp.77-87, 1977.

C. Paul and . Bressloff, Spatiotemporal dynamics of continuum neural fields, vol.45, p.33001, 2012.

S. Coombes, Waves, bumps, and patterns in neural field theories, Biological Cybernetics, vol.93, issue.2, pp.91-108, 2005.

M. Thomas, . Cover, A. Joy, and . Thomas, Elements of information theory, p.375, 2012.

P. Demartines, Part II Introduction to Group Representations, Group Representations Volume 1 Part B: Introduction to Group Representations and Characters, vol.10, p.621, 1992.

G. I. Detorakis and N. P. Rougier, A Neural Field Model of the Somatosensory Cortex: Formation, Maintenance and Reorganization of Ordered Topographic Maps, PLoS ONE, vol.7, issue.7, p.e40257, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00716355

G. I. Detorakis and N. P. Rougier, Structure of receptive fields in a computational model of area 3b of primary sensory cortex, Frontiers in Computational Neuroscience, vol.8, issue.76, p.382, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01052817

O. Faugeras, F. Grimbert, and J. Slotine, Absolute Stability and Complete Synchronization in a Class of Neural Fields Models, SIAM Journal on Applied Mathematics, vol.69, issue.1, pp.205-250, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00423423

O. Faugeras, R. Veltz, and F. Grimbert, Persistent Neural States: Stationary Localized Activity Patterns in Nonlinear Continuous n-Population, q-Dimensional Neural Networks, Neural Computation, vol.21, issue.1, pp.147-187, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00198808

O. Faugeras, R. Veltz, and F. Grimbert, Persistent Neural States: Stationary Localized Activity Patterns in Nonlinear Continuous n-Population, q-Dimensional Neural Networks, Neural Computation, vol.21, issue.1, pp.147-187, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00198808

N. Mathieu, . Galtier, D. Olivier, P. C. Faugeras, and . Bressloff, Hebbian learning of recurrent 389 connections: a geometrical perspective, Neural computation, vol.24, issue.9, p.390, 2012.

A. Kamil, M. Grajski, and . Merzenich, Neural network simulation of somatosensory rep-391 resentational plasticity, Advances in neural information processing systems, vol.392, pp.52-59, 1990.

S. Grossberg, Physiological interpretation of the self-organizing map algorithm, p.394, 1994.

H. Donald-olding, The organization of behavior: A neuropsychological theory, 2002.

S. Kaski, J. Kangas, and T. Kohonen, Bibliography of self-organizing map (som) 397 papers: 1981-1997, Neural computing surveys, vol.1, issue.3&4, pp.1-176, 1998.

H. Khalil, Nonlinear systems, p.399, 1996.

T. Robert, R. Knight, D. Staines, L. L. Swick, and . Chao, Prefrontal cortex regulates 400 inhibition and excitation in distributed neural networks, Acta psychologica, vol.101, issue.2, p.401, 1999.

T. Kohonen, Self-organized formation of topologically correct feature maps, Biological Cybernetics, vol.43, issue.1, pp.59-69, 1982.

T. Kohonen, Self-Organizing Maps, vol.30, 2001.

A. Leah, J. H. Krubitzer, and . Kaas, The organization and connections of somatosensory cortex in 405 marmosets, The Journal of Neuroscience, vol.10, issue.3, pp.952-974, 1990.

M. Rebecca-a-mease, J. Famulare, . Gjorgjieva, J. William, and A. Moody, , p.407

. Fairhall, Emergence of adaptive computation by single neurons in the developing cortex. The 408, Journal of Neuroscience, vol.33, issue.30, pp.12154-12170, 2013.

R. Miikkulainen, J. A. Bednar, Y. Choe, and J. Sirosh, Modeling Self-Organization in the Visual Cortex, Kohonen Maps, pp.243-252, 1999.

M. Nasser, Y. Nasrabadi, and . Feng, Vector quantization of images based upon the kohonen 412 self-organizing feature maps, Proc. IEEE Int. Conf. Neural Networks, vol.1, pp.101-105, 1988.

E. Oja, Simplified neuron model as a principal component analyzer, Journal of Mathematical Biology, vol.15, issue.3, pp.267-273, 1982.

M. Oja, S. Kaski, and T. Kohonen, Bibliography of self-organizing map (som) papers: 417 1998-2001 addendum, Neural computing surveys, vol.3, issue.1, pp.1-156, 2003.

. Hx-qi, J. H. Preuss, and . Kaas, Somatosensory areas of the cerebral cortex: architectonic 419 characteristics and modular organization. The senses: A comprehensive reference, vol.6, p.420, 2008.

N. Rougier and Y. Boniface, Dynamic self-organising map, Neurocomputing, vol.74, issue.11, pp.1840-1847, 2011.
URL : https://hal.archives-ouvertes.fr/inria-00495827

M. Schaefer, H. Heinze, and M. Rotte, Task-relevant modulation of primary somatosensory cortex suggests a prefrontal?cortical sensory gating system, NeuroImage, vol.27, issue.1, pp.130-135, 2005.

J. Sirosh and R. Miikkulainen, Topographic Receptive Fields and Patterned Lateral Interaction in a Self-Organizing Model of the Primary Visual Cortex, Neural Computation, vol.9, issue.3, pp.577-594, 1997.

M. Tucci and M. Raugi, Stability analysis of self-organizing maps and vector quantization algorithms, The 2010 International Joint Conference on Neural Networks (IJCNN), pp.1-5, 2010.

. Ieee, IEEE RFID 2010 organizing committee, 2010 IEEE International Conference on RFID (IEEE RFID 2010), 2010.

R. Veltz and O. Faugeras, Local/Global Analysis of the Stationary Solutions of Some Neural Field Equations, SIAM Journal on Applied Dynamical Systems, vol.9, issue.3, pp.954-998, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00712201

J. S. Stuart-p-wilson, B. Law, T. J. Mitchinson, J. Prescott, and . Bednar, Modeling 434 the emergence of whisker direction maps in rat barrel cortex, PloS one, vol.5, issue.1, p.435, 2010.

J. Xing and G. L. Gerstein, Networks with lateral connectivity. I. dynamic properties mediated by the balance of intrinsic excitation and inhibition, Journal of Neurophysiology, vol.75, issue.1, pp.184-199, 1996.

J. Xing and G. L. Gerstein, Networks with lateral connectivity. II. Development of neuronal grouping and corresponding receptive field changes, Journal of Neurophysiology, vol.75, issue.1, pp.200-216, 1996.

J. Xing and G. L. Gerstein, Networks with lateral connectivity. III. Plasticity and reorganization of somatosensory cortex, Journal of Neurophysiology, vol.75, issue.1, pp.217-232, 1996.

H. Yin, Learning Nonlinear Principal Manifolds by Self-Organising Maps, Lecture Notes in Computational Science and Enginee, pp.68-95, 2008.