Bifurcation of Boundary Wavefronts for Some Graphs

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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


Snapshots


Details

The theory of bifurcations of generic wavefronts is given in [1].

References

[1] T. Tsukada, "Bifurcations of Wavefronts on r-Corners : Semi-Local Classification," Methods and Applications of Analysis, 18(3), pp. 303–334 (2011).

[2] Author's page



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