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Symmetries, non-Euclidean metrics, and patterns in a Swift–Hohenberg model of the visual cortex

หน่วยงาน Central Queensland University, Australia

รายละเอียด

ชื่อเรื่อง : Symmetries, non-Euclidean metrics, and patterns in a Swift–Hohenberg model of the visual cortex
นักวิจัย : Mayer, N. Michael. , Browne, Matthew. , Herrmann, J. Michael. , Asada, Minoru.
คำค้น : LIBRARY OF CONGRESS NEEDED , 970117 Expanding Knowledge in Psychology and Cognitive Sciences. , 110903 Central Nervous System. , Orientation maps in visual cortex -- Pattern formation process -- Shift-twist symmetry , Journal Article. Refereed, Scholarly Journal
หน่วยงาน : Central Queensland University, Australia
ผู้ร่วมงาน : -
ปีพิมพ์ : 2551
อ้างอิง : http://hdl.cqu.edu.au/10018/938293
ที่มา : Michael Mayer, N, Browne, M, Herrmann, JM & Asada, M 2008, 'Symmetries, non-Euclidean metrics, and patterns in a Swift–Hohenberg model of the visual cortex', Biological Cybernetics, vol. 9, no. 1, pp. 63-78, http://dx.doi.org/10.1007/s00422-008-0238-9
ความเชี่ยวชาญ : -
ความสัมพันธ์ : Biological cybernetics. Germany : Springer, 2008. Vol. 99, no. 1 (2008), p. 63-78 16 pages Refereed 0340-1200 1432-0770 (online) , ACQUIRE [electronic resource] : Central Queensland University Institutional Repository.
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

The aim of this work is to investigate the effect of the shift-twist symmetry on pattern formation processes in the visual cortex. First, we describe a generic set of Riemannian metrics of the feature space of orientation preference that obeys properties of the shift-twist, translation, and reflection symmetries. Second, these metrics are embedded in a modified Swift–Hohenberg model. As a result we get a pattern formation process that resembles the pattern formation process in the visual cortex. We focus on the final stable patterns that are regular and periodic. In a third step we analyze the influences on pattern formation using weakly nonlinear theory and mode analysis. We compare the results of the present approach with earlier models.

บรรณานุกรม :
Mayer, N. Michael. , Browne, Matthew. , Herrmann, J. Michael. , Asada, Minoru. . (2551). Symmetries, non-Euclidean metrics, and patterns in a Swift–Hohenberg model of the visual cortex.
    กรุงเทพมหานคร : Central Queensland University, Australia.
Mayer, N. Michael. , Browne, Matthew. , Herrmann, J. Michael. , Asada, Minoru. . 2551. "Symmetries, non-Euclidean metrics, and patterns in a Swift–Hohenberg model of the visual cortex".
    กรุงเทพมหานคร : Central Queensland University, Australia.
Mayer, N. Michael. , Browne, Matthew. , Herrmann, J. Michael. , Asada, Minoru. . "Symmetries, non-Euclidean metrics, and patterns in a Swift–Hohenberg model of the visual cortex."
    กรุงเทพมหานคร : Central Queensland University, Australia, 2551. Print.
Mayer, N. Michael. , Browne, Matthew. , Herrmann, J. Michael. , Asada, Minoru. . Symmetries, non-Euclidean metrics, and patterns in a Swift–Hohenberg model of the visual cortex. กรุงเทพมหานคร : Central Queensland University, Australia; 2551.