T. Albright, Direction and orientation selectivity of neurons in visual area MT of the macaque, Journal of Neurophysiology, vol.52, issue.6, pp.1106-1030, 1984.

S. Amari, Characteristics of randomly connected threshold-element networks and network systems, Proceedings of the IEEE, vol.59, issue.1, pp.35-47, 1971.
DOI : 10.1109/PROC.1971.8087

P. Ashwin and A. Lavric, A low-dimensional model of binocular rivalry using winnerless competition, Physica D: Nonlinear Phenomena, vol.239, issue.9, pp.529-536, 2010.
DOI : 10.1016/j.physd.2009.06.018

F. Barthélemy, L. Perrinet, E. Castet, and G. Masson, Dynamics of distributed 1D and 2D motion representations for short-latency ocular following, Vision Research, vol.48, issue.4, pp.501-522, 2008.
DOI : 10.1016/j.visres.2007.10.020

F. Barthélemy, J. Fleuriet, and G. Masson, Temporal Dynamics of 2D Motion Integration for Ocular Following in Macaque Monkeys, Journal of Neurophysiology, vol.103, issue.3, pp.1275-1282, 2010.
DOI : 10.1152/jn.01061.2009

R. Ben-yishai, R. Bar-or, and H. Sompolinsky, Theory of orientation tuning in visual cortex., Proceedings of the National Academy of Sciences, vol.92, issue.9, pp.3844-3848, 1995.
DOI : 10.1073/pnas.92.9.3844

R. Blake, A neural theory of binocular rivalry., Psychological Review, vol.96, issue.1, p.145, 1989.
DOI : 10.1037/0033-295X.96.1.145

R. Blake, A primer on binocular rivalry, including current controversies, Brain and Mind, vol.2, issue.1, pp.5-38, 2001.
DOI : 10.1023/A:1017925416289

R. Borisyuk, D. Chik, and Y. Kazanovich, Visual perception of ambiguous figures: synchronization based neural models, Biological Cybernetics, vol.64, issue.3, pp.491-504, 2009.
DOI : 10.1007/s00422-009-0301-1

R. Born and D. Bradley, STRUCTURE AND FUNCTION OF VISUAL AREA MT, Annual Review of Neuroscience, vol.28, issue.1, pp.157-189, 2005.
DOI : 10.1146/annurev.neuro.26.041002.131052

P. Bressloff, Spatiotemporal dynamics of continuum neural fields, Journal of Physics A: Mathematical and Theoretical, vol.45, issue.3, pp.1751-8113033001, 1088.
DOI : 10.1088/1751-8113/45/3/033001

P. Bressloff and Z. Kilpatrick, Nonlocal Ginzburg-Landau equation for cortical pattern formation, Physical Review E, vol.78, issue.4, pp.411-427, 2008.
DOI : 10.1103/PhysRevE.78.041916

P. Bressloff and M. Webber, Neural field model of binocular rivalry waves, Journal of Computational Neuroscience, pp.1-20, 2011.

P. Bressloff, J. Cowan, M. Golubitsky, P. Thomas, M. Wiener et al., Geometric visual hallucinations, Euclidean symmetry and the functional architecture of striate cortex, Philosophical Transactions of the Royal Society B: Biological Sciences, vol.356, issue.1407, p.769, 2000.
DOI : 10.1098/rstb.2000.0769

K. Britten, The middle temporal area: Motion processing and the link to perception, The visual neurosciences, pp.1203-1216, 2003.

M. Carandini and D. Heeger, Normalization as a canonical neural computation, Nature Reviews Neuroscience, vol.13, issue.1, pp.51-62, 2011.

E. Castet, V. Charton, and A. Dufour, The extrinsic/intrinsic classification of two-dimensional motion signals with barber-pole stimuli, Vision Research, vol.39, issue.5, pp.915-932, 1999.
DOI : 10.1016/S0042-6989(98)00146-1

P. Chossat and R. Lauterbach, Methods in Equivariant Bifurcations and Dynamical Systems, 2000.
DOI : 10.1142/4062

S. Coombes, Waves, bumps, and patterns in neural field theories, Biological Cybernetics, vol.16, issue.2, pp.91-108, 2005.
DOI : 10.1007/s00422-005-0574-y

S. Coombes and M. Owen, Bumps, Breathers, and Waves in a Neural Network with Spike Frequency Adaptation, Physical Review Letters, vol.94, issue.14, 2005.
DOI : 10.1103/PhysRevLett.94.148102

S. Coombes, G. Lord, and M. Owen, Waves and bumps in neuronal networks with axo-dendritic synaptic interactions, Physica D: Nonlinear Phenomena, vol.178, issue.3-4, pp.3-4219, 2003.
DOI : 10.1016/S0167-2789(03)00002-2

R. Curtu and B. Ermentrout, Pattern Formation in a Network of Excitatory and Inhibitory Cells with Adaptation, SIAM Journal on Applied Dynamical Systems, vol.3, issue.3, p.191, 2004.
DOI : 10.1137/030600503

G. Dangelmayr and E. Knobloch, The Takens--Bogdanov Bifurcation with O(2)-Symmetry, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.322, issue.1565, pp.243-279, 1565.
DOI : 10.1098/rsta.1987.0050

G. Deco and R. P. , The role of multi-area interactions for the computation of apparent motion, NeuroImage, vol.51, issue.3, pp.1018-1026, 2010.
DOI : 10.1016/j.neuroimage.2010.03.032

V. Descalzo, L. Nowak, J. Brumberg, D. Mccormick, and M. Sanchez-vives, Slow Adaptation in Fast-Spiking Neurons of Visual Cortex, Journal of Neurophysiology, vol.93, issue.2, pp.1111-1118, 2005.
DOI : 10.1152/jn.00658.2004
URL : https://hal.archives-ouvertes.fr/hal-00330533

A. Diogo, J. Soares, A. Koulakov, T. Albright, and R. Gattass, Electrophysiological imaging of functional architecture in the cortical middle temporal visual area of cebus apella monkey, The Journal of neuroscience, vol.23, issue.9, p.3881, 2003.

E. Doedel, A. Champneys, T. Fairgrieve, Y. Kuznetsov, B. Sandstede et al., Auto 97: Continuation and bifurcation software for ordinary differential equations (with homcont) URL http, 1997.

B. Ermentrout, Neural networks as spatio-temporal pattern-forming systems, Reports on Progress in Physics, vol.61, issue.4, pp.353-430, 1998.
DOI : 10.1088/0034-4885/61/4/002

B. Ermentrout, S. Folias, and Z. Kilpatrick, Spatiotemporal Pattern Formation in Neural Fields with Linear Adaptation, 2012.
DOI : 10.1007/978-3-642-54593-1_4

G. Ermentrout and J. Cowan, Large Scale Spatially Organized Activity in Neural Nets, SIAM Journal on Applied Mathematics, vol.38, issue.1, pp.1-21, 1980.
DOI : 10.1137/0138001

G. Faye, P. Chossat, and O. Faugeras, Analysis of a hyperbolic geometric model for visual texture perception, The Journal of Mathematical Neuroscience, vol.1, issue.1, 2011.
DOI : 10.1137/090773611
URL : https://hal.archives-ouvertes.fr/hal-00784424

G. Faye, J. Rankin, and D. Lloyd, Lo calized radial bumps of a neural field equation on the euclidean plane and the poincaré disk, Nonlinearity, 2012.

N. Fisher and J. Zanker, The Directional Tuning of the Barber-Pole Illusion, Perception, vol.38, issue.4, pp.1321-1336, 2001.
DOI : 10.1068/p3156

S. Folias, Nonlinear Analysis of Breathing Pulses in a Synaptically Coupled Neural Network, SIAM Journal on Applied Dynamical Systems, vol.10, issue.2, pp.744-787, 2011.
DOI : 10.1137/100815852

S. Folias and P. Bressloff, Breathing Pulses in an Excitatory Neural Network, SIAM Journal on Applied Dynamical Systems, vol.3, issue.3, pp.378-407, 2004.
DOI : 10.1137/030602629

A. Freeman, Multistage Model for Binocular Rivalry, Journal of Neurophysiology, vol.94, issue.6, pp.4412-4420, 2005.
DOI : 10.1152/jn.00557.2005

M. Giese, Dynamic Neural Field Theory for Motion Perception, 1998.
DOI : 10.1007/978-1-4615-5581-0

M. Golubitsky, L. Shiau, and A. Török, Bifurcation on the Visual Cortex with Weakly Anisotropic Lateral Coupling, SIAM Journal on Applied Dynamical Systems, vol.2, issue.2, pp.97-143, 2003.
DOI : 10.1137/S1111111102409882

Y. Guo and C. Chow, Existence and Stability of Standing Pulses in Neural Networks: I. Existence, SIAM Journal on Applied Dynamical Systems, vol.4, issue.2, pp.217-248, 2005.
DOI : 10.1137/040609471

D. Hansel and H. Sompolinsky, Methods in neuronal modeling: From ions to networks, chap 13 Modeling feature selectivity in local cortical circuits, pp.499-567, 1998.

M. Haragus and G. Iooss, Local bifurcations, center manifolds, and normal forms in infinite dimensional systems, EDP Sci, 2010.
DOI : 10.1007/978-0-85729-112-7
URL : https://hal.archives-ouvertes.fr/hal-00877080

E. Hildreth, The detection of intensity changes by computer and biological vision systems, Computer Vision, Graphics, and Image Processing, vol.22, issue.1, pp.1-27, 1983.
DOI : 10.1016/0734-189X(83)90093-2

J. Hupé and D. Pressnitzer, The initial phase of auditory and visual scene analysis, Philosophical Transactions of the Royal Society B: Biological Sciences, vol.27, issue.1, pp.942-953, 1591.
DOI : 10.1007/s10827-008-0125-3

J. Hupé and N. Rubin, The dynamics of bi-stable alternation in ambiguous motion displays: a fresh look at plaids, Vision Research, vol.43, issue.5, pp.531-548, 2003.
DOI : 10.1016/S0042-6989(02)00593-X

Z. Kilpatrick, Short term synaptic depression improves information processing in perceptual multistability. arXiv preprint, 2012.

Z. Kilpatrick and P. Bressloff, Binocular Rivalry in a Competitive Neural Network with Synaptic Depression, SIAM Journal on Applied Dynamical Systems, vol.9, issue.4, pp.1303-1347, 2010.
DOI : 10.1137/100788872

Z. Kilpatrick and B. Ermentrout, Hallucinogen persisting perception disorder in neuronal networks with adaptation, Journal of Computational Neuroscience, vol.197, issue.1, pp.25-53, 2012.
DOI : 10.1007/s10827-011-0335-y

Y. Kim, M. Grabowecky, and S. Suzuki, Stochastic resonance in binocular rivalry, Vision Research, vol.46, issue.3, pp.392-406, 2006.
DOI : 10.1016/j.visres.2005.08.009

B. Krauskopf, H. Osinga, and J. Galán-vioque, Numerical Continuation Methods for Dynamical Systems, 2007.
DOI : 10.1007/978-1-4020-6356-5

Y. Kuznetsov, Elements of Applied Bifurcation Theory, 1998.

C. Laing, Spiral Waves in Nonlocal Equations, SIAM Journal on Applied Dynamical Systems, vol.4, issue.3, pp.588-606, 2005.
DOI : 10.1137/040612890

C. Laing and C. Chow, A spiking neuron model for binocular rivalry, Journal of Computational Neuroscience, vol.12, issue.1, pp.39-53, 2002.
DOI : 10.1023/A:1014942129705

C. Laing, W. Troy, B. Gutkin, and G. Ermentrout, Multiple Bumps in a Neuronal Model of Working Memory, SIAM Journal on Applied Mathematics, vol.63, issue.1, pp.62-97, 2002.
DOI : 10.1137/S0036139901389495

C. Laing and W. Troy, PDE Methods for Nonlocal Models, SIAM Journal on Applied Dynamical Systems, vol.2, issue.3, pp.487-516, 2003.
DOI : 10.1137/030600040

S. Lehky, Binocular Rivalry is not Chaotic, Proceedings of the Royal Society of London Series B, pp.71-76, 1354.
DOI : 10.1098/rspb.1995.0011

D. Leopold and N. Logothetis, Activity changes in early visual cortex reflect monkeys' percepts during binocular rivalry, Nature, vol.379, issue.6565, pp.549-553, 1996.
DOI : 10.1038/379549a0

W. Levelt, On binocular rivalry. The Hague-Paris, p.107, 1968.

N. Logothetis and J. Schall, Neuronal correlates of subjective visual perception, Science, vol.245, issue.4919, pp.761-763, 1989.
DOI : 10.1126/science.2772635

N. Logothetis, D. Leopold, and D. Sheinberg, What is rivalling during binocular rivalry?, Nature, vol.380, issue.6575, pp.621-624, 1996.
DOI : 10.1038/380621a0

J. Lorenceau and M. Shiffrar, The influence of terminators on motion integration across space, Vision Research, vol.32, issue.2, pp.263-273, 1992.
DOI : 10.1016/0042-6989(92)90137-8

J. Lorenceau, M. Shiffrar, N. Wells, and E. Castet, Different motion sensitive units are involved in recovering the direction of moving lines, Vision Research, vol.33, issue.9, pp.1207-1207, 1993.
DOI : 10.1016/0042-6989(93)90209-F

G. Masson, Y. Rybarczyk, E. Castet, and D. Mestre, Temporal dynamics of motion integration for the initiation of tracking eye movements at ultra-short latencies, Visual Neuroscience, vol.17, issue.5, pp.753-767, 2000.
DOI : 10.1017/S0952523800175091
URL : https://hal.archives-ouvertes.fr/hal-01441432

A. Meso, J. Rankin, O. Faugeras, P. Kornprobst, and G. Masson, Motion direction integration following the onset of multistable stimuli (I): dynamic shifts in both perception and eye movements depend on signal strength, European Conference on Visual Perception, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00845608

A. Meso, J. Rankin, P. Kornprobst, O. Faugeras, and G. Masson, Perceptual transition dynamics of a multi-stable visual motion stimulus I: experiments, Vision Sciences Society 12th Annual Meeting, 2012.
DOI : 10.1167/12.9.748
URL : https://hal.archives-ouvertes.fr/hal-00845607

R. Moreno-bote, J. Rinzel, and N. Rubin, Noise-Induced Alternations in an Attractor Network Model of Perceptual Bistability, Journal of Neurophysiology, vol.98, issue.3, pp.1125-1139, 2007.
DOI : 10.1152/jn.00116.2007

M. Owen, C. Laing, and S. Coombes, Bumps and rings in a two-dimensional neural field: splitting and rotational instabilities, New Journal of Physics, vol.9, issue.10, pp.378-401, 2007.
DOI : 10.1088/1367-2630/9/10/378

D. Pinto and G. Ermentrout, Spatially Structured Activity in Synaptically Coupled Neuronal Networks: I. Traveling Fronts and Pulses, SIAM Journal on Applied Mathematics, vol.62, issue.1, pp.206-225, 2001.
DOI : 10.1137/S0036139900346453

V. Ramachandran and S. Anstis, Perceptual organization in moving patterns, Nature, vol.10, issue.5926, 1983.
DOI : 10.1038/304529a0

J. Rankin, E. Tlapale, R. Veltz, O. Faugeras, and P. Kornprobst, Bifurcation analysis applied to a model of motion integration with a multistable stimulus, Journal of Computational Neuroscience, vol.25, issue.1, 2012.
DOI : 10.1007/s10827-012-0409-5
URL : https://hal.archives-ouvertes.fr/hal-00646387

E. Rubin, Visuell wahrgenommene figuren: studien in psychologischer analyse, Gyldendalske boghandel, vol.1, 1921.

N. Rubin and J. Hupé, Binocular rivalry, The MIT Press, chap Dynamics of perceptual bistability: Plaids and binocular rivalry compared, pp.137-154, 2005.

G. Sclar, J. Maunsell, and L. P. , Coding of image contrast in central visual pathways of the macaque monkey, Vision Research, vol.30, issue.1, pp.1-10, 1990.
DOI : 10.1016/0042-6989(90)90123-3

J. Serences and G. Boynton, The Representation of Behavioral Choice for Motion in Human Visual Cortex, Journal of Neuroscience, vol.27, issue.47, pp.893-12899, 2007.
DOI : 10.1523/JNEUROSCI.4021-07.2007

A. Shpiro, R. Curtu, J. Rinzel, and N. Rubin, Dynamical Characteristics Common to Neuronal Competition Models, Journal of Neurophysiology, vol.97, issue.1, pp.462-473, 2007.
DOI : 10.1152/jn.00604.2006

A. Shpiro, R. Moreno-bote, N. Rubin, and J. Rinzel, Balance between noise and adaptation in competition models of perceptual bistability, Journal of Computational Neuroscience, vol.90, issue.4, pp.37-54, 2009.
DOI : 10.1007/s10827-008-0125-3

D. Somers, S. Nelson, and M. Sur, An emergent model of orientation selectivity in cat visual cortical simple cells, Journal of Neuroscience, vol.15, issue.8, p.5448, 1995.

G. Sperling and B. Dosher, Early vision and beyond, Bradford Books, chap Depth from motion, pp.133-143, 1995.

S. Stonkute, J. Braun, and A. Pastukhov, The Role of Attention in Ambiguous Reversals of Structure-From-Motion, PLoS ONE, vol.43, issue.5, p.37734, 2012.
DOI : 10.1371/journal.pone.0037734.s003

S. Strogatz, Nonlinear dynamics and chaos, 1994.

P. Theodoni, G. Kovács, M. Greenlee, and G. Deco, Neuronal Adaptation Effects in Decision Making, Journal of Neuroscience, vol.31, issue.1, pp.234-246, 2011.
DOI : 10.1523/JNEUROSCI.2757-10.2011

P. Theodoni, T. Panagiotaropoulos, V. Kapoor, N. Logothetis, and G. Deco, Cortical Microcircuit Dynamics Mediating Binocular Rivalry: The Role of Adaptation in Inhibition, Frontiers in Human Neuroscience, vol.5, 2011.
DOI : 10.3389/fnhum.2011.00145

E. Tlapale, P. Kornprobst, G. Masson, and O. Faugeras, A Neural Field Model for Motion Estimation, Mathematical Image Processing, pp.159-180978, 2011.
DOI : 10.1007/978-3-642-19604-1_9
URL : https://hal.archives-ouvertes.fr/hal-00845749

R. Veltz, Nonlinear analysis metho ds in neural field mo dels, 2011.

R. Veltz and O. Faugeras, Lo cal/global analysis of the stationary solutions of some neural field equations, SIAM Journal on Applied Dynamical Systems, vol.9954, issue.391, pp.954-998, 2010.

H. Wallach, ??ber visuell wahrgenommene Bewegungsrichtung, Psychologische Forschung, vol.59, issue.1, pp.325-380, 1935.
DOI : 10.1007/BF02409790

H. Wallach and O. , The kinetic depth effect., Journal of Experimental Psychology, vol.45, issue.4, p.205, 1953.
DOI : 10.1037/h0056880

H. Wilson and J. Cowan, Excitatory and Inhibitory Interactions in Localized Populations of Model Neurons, Biophysical Journal, vol.12, issue.1, pp.1-24, 1972.
DOI : 10.1016/S0006-3495(72)86068-5

H. Wilson and J. Cowan, A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue, Kybernetik, vol.12, issue.2, pp.55-80, 1973.
DOI : 10.1007/BF00288786

S. Wuerger, R. Shapley, and N. Rubin, ???On the Visually Perceived Direction of Motion??? by Hans Wallach: 60 Years Later, Perception, vol.25, issue.11, pp.1317-1367, 1996.
DOI : 10.1068/p251317

Y. Zhou, J. Gao, K. White, I. Merk, and K. Yao, Perceptual dominance time distributions in multistable visual perception, Biological Cybernetics, vol.90, issue.4, pp.256-263, 2004.
DOI : 10.1007/s00422-004-0472-8