Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:C3L-C

Session:

Number:739

Stochastic stability of a neural model for binocular rivalry

Tetsuya Shimokawa,  Kenji Leibnitz,  Ferdinand Peper,  

pp.739-742

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.739

PDF download (344.7KB)

Summary:
We provide a theoretical framework for investigating the binocular rivalry model based on the stochastic dynamical systems theory. We adopt the stochastic Lyapunov exponent as the criterion for the stochastic stability of a system. As an application of our theoretical framework, we show how the stochastic Lyapunov exponent can explain the perceptual stabilization in the model of the binocular rivalry.

References:

[1] L Arnold. Random Dynamical Systems. SpringerVerlag, 1998.

[2] R. Blake and N. K. Logothesis. Visual competition. Nature Reviews, 3:1-11, 2002.

[3] R. Blake and H. Wilson. Binocular vision. Vision Research, 51:754-770, 2011.

[4] F. Crick and C. Koch. Consciousness and neuroscience. Cerebral Cortex, 8:97-107, 1988.

[5] P. E. Kloeden and E. Platen. Numerical solution of stochastic differential equations. Springer-Verlag, 1992.

[6] C. R. Laing, T. Frewen, and I. G. Kevrekidis. Reduced models for binocular rivalry. J. Comput. Neurosci., 28:459-476, 2010.

[7] D. A. Leopold, M. Wilke, A. Maier, and N. K. Logothesis. Stable perception of visually ambiguous patterns. Nature Neurosci., 12:39-53, 2002.

[8] A. J. Noest, R. van Ee, M. M. Nijs, and R. J. A. van Wezel. Percept-choice sequences driven by interrupted ambiguous stimuli: A low-level neural model. J. Vision, 7:1-14, 2007.

[9] J. Orbach, D. Ehrlich, and H. A. Heath. Reversibility of the necker cube. i. an examination of the concept of ”satiation of orientation”. Percept. Mot. Skills, 17:439-458, 1963.

[10] K. Pakdaman and D. Mestivier. Noise induced synchronization in a neuronal oscillator. Physica D, 192:123-137, 2004.

[11] J. Pearson and J. Brascamp. Sensory memory for ambiguous vision. TRENDS in Cognitive Science, 12:334-341, 2008.

[12] F. Tong, M. Meng, and R. Blake. Neural bases of binocular rivalry. TRENDS in Cognitive Science, 46:502-511, 2006.