A low-dimensional model of binocular rivalry using winnerless competition
Physica D: Nonlinear Phenomena
We discuss a novel minimal model for binocular rivalry (and more generally perceptual dominance) effects. The model has only three state variables, but nonetheless exhibits a wide range of input and noise-dependent switching. The model has two reciprocally inhibiting input variables that represent perceptual processes active during the recognition of one of the two possible states and a third variable that represents the perceived output. Sensory inputs only affect the input variables. We observe, for rivalry-inducing inputs, the appearance of winnerless competition in the perceptual system. This gives rise to a behaviour that conforms to well-known principles describing binocular rivalry (the Levelt propositions, in particular proposition IV: monotonic response of residence time as a function of image contrast) down to very low levels of stimulus intensity.
Copyright © 2010 Elsevier. NOTICE: this is the author’s version of a work that was accepted for publication in Physica D: Nonlinear Phenomena. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physica D: Nonlinear Phenomena Vol. 239 (2010), DOI: 10.1016/j.physd.2009.06.018
Notes: The article presents a novel biologically-inspired mathematical model of perceptual instability in binocular rivalry. I took part in the development of the model in the relation to extant models of binocular rivalry, and wrote the introduction and the discussion sections of the paper. Peter Ashwin ran the simulations and wrote the sections of the paper that present: the model in mathematical formalism, the results from simulations and the related mathematical proofs.
Vol. 239 (9), pp. 529 - 536