Analysis of a hyperbolic geometric model for visual texture perception

DOI10.1186/2190-8567-1-4zbMath1259.92007OpenAlexW2108580795WikidataQ41184275 ScholiaQ41184275MaRDI QIDQ1941936

Olivier Faugeras, Pascal Chossat, Grégory Faye

Publication date: 22 March 2013

Published in: The Journal of Mathematical Neuroscience (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2190-8567-1-4

zbMATH Keywords

stability analysishypergeometric functionsnonlinear integro-differential equationshyperbolic geometryfunctional analysisbumpsneural fieldsnon-Euclidean analysis

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Integro-partial differential equations (45K05) Neural biology (92C20) Stability theory for integral equations (45M10) Applications of functional analysis in probability theory and statistics (46N30) Psychophysics and psychophysiology; perception (91E30)

Related Items (8)

Pattern formation for the Swift-Hohenberg equation on the hyperbolic plane ⋮ The hyperbolic model for edge and texture detection in the primary visual cortex ⋮ Localized states in an unbounded neural field equation with smooth firing rate function: a multi-parameter analysis ⋮ Bifurcation analysis applied to a model of motion integration with a multistable stimulus ⋮ Bifurcation diagrams and heteroclinic networks of octagonal H-planforms ⋮ From hyperbolic geometry to \(2\times 2\) Hermitian matrices and back ⋮ Reduction method for studying localized solutions of neural field equations on the Poincaré disk ⋮ Stochastic neural field equations: a rigorous footing

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