Abstract: In the light of ø-mapping method and topological current theory, the topological structure and the topological quantization of topological linear defects are obtained under the condition that Jacobian J (ø / v ) ≠ 0. When J ( ø / v ) = 0, it is shown that there exists the crucial case of branch process. Based on the implicit function theorem and the Taylor expansion, the generation, annihilation and bifurcation of the linear defects are detailed in the neighborhoods of the limit points and bifurcation points of ø-mapping, respectively.
DUAN Yi-shi;JIANG Ying;YANG Guo-hong. Evolution of the Topological Linear Defects[J]. 中国物理快报, 1999, 16(3): 157-159.
DUAN Yi-shi, JIANG Ying, YANG Guo-hong. Evolution of the Topological Linear Defects. Chin. Phys. Lett., 1999, 16(3): 157-159.