Bifurcation of Boundary Wavefronts for Some Graphs
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This Demonstration shows bifurcations of wavefronts generated by some curves with and without boundaries (red points). Wavefronts are generated by a curve and its normal boundary. We are concerned with local bifurcations on initial wavefronts around a point as a function of time, that is, behavior of the shape of a wavefront around a red point at times when the shape has a singularity.
Contributed by: Takaharu Tsukada (November 2009)
Open content licensed under CC BY-NC-SA
The theory of bifurcations of generic wavefronts is given in .
 T. Tsukada, "Bifurcations of Wavefronts on r-Corners : Semi-Local Classification," Methods and Applications of Analysis, 18(3), pp. 303–334 (2011).
 Author's page
"Bifurcation of Boundary Wavefronts for Some Graphs"
Wolfram Demonstrations Project
Published: November 9 2009