Bloch waves, periodic feature maps, and cortical pattern formation

被引:33
作者
Bressloff, PC [1 ]
机构
[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevLett.89.088101
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Perturbation methods are used to solve the eigenvalue problem for cortical pattern formation in the presence of long-range neural connections. Such connections have a crystallinelike structure that breaks Euclidean symmetry to the discrete symmetry of a planar lattice group. Conditions for marginal stability are derived with the associated eigenmodes identified as Bloch waves.
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页数:4
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