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The pattern formation in orientation and ocular dominance columns is one ofthe most investigated problems in the brain. From a known cortical structure,we build spin-like Hamiltonian models with long-range interactions of theMexican hat type. These Hamiltonian models allow a coherent interpretation ofthe diverse phenomena in the visual map formation with the help of relaxationdynamics of spin systems. In particular, we explain various phenomena ofself-organization in orientation and ocular dominance map formation includingthe pinwheel annihilation and its dependency on the columnar wave vector andboundary conditions.Comment: 4 pages, 15 figure

Understanding Visual Map Formation through Vortex Dynamics of Spin Hamiltonian Models