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- W3124175701 abstract "In this paper, by making use of Duan's topological current theory, the evolution of the vortex filaments in excitable media is discussed in detail. The vortex filaments are found generating or annihilating at the limit points and encountering, splitting, or merging at the bifurcation points of a complex function $Z(vec{x},t)$. It is also shown that the Hopf invariant of knotted scroll wave filaments is preserved in the branch processes (splitting, merging, or encountering) during the evolution of these knotted scroll wave filaments. Furthermore, it also revealed that the exclusion principle in some chemical media is just the special case of the Hopf invariant constraint, and during the branch processes the exclusion principle is also protected by topology." @default.
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- W3124175701 date "2009-12-01" @default.
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- W3124175701 title "Branch Processes of Vortex Filaments and Hopf Invariant Constraint on Scroll Wave" @default.
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- W3124175701 doi "https://doi.org/10.1088/0253-6102/52/6/31" @default.
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