2 citations · 3 across the 5 of their papers we have counts for
5 papers
Multi-bifurcations of Wavefronts on r-corners
Takaharu Tsukada
We extend the notion of reticular Legendrian unfoldings in order to investigate multi-time bifurcations of wavefronts generated by an r-corner. We give a classification list of gen…
Genericity of Caustics on a corner
Takaharu Tsukada
We introduce the notions of the caustic-equivalence and the weak caustic-equivalence relations of reticular Lagrangian maps in order to give a generic classification of caustics on…
Bifurcations of Wavefronts on an r-corner II: Semi-local classification
Takaharu Tsukada
We give a classification of generic bifurcations of intersections of wavefronts generated by different points of a hypersurface with or without boundaries.
Genericity of Caustics and Wavefronts on an r-corner
Takaharu Tsukada
We investigate genericities of reticular Lagrangian maps and reticular Legendrian maps in order to give generic classifications of caustics and wavefronts generated by a hypersurfa…
Bifurcations of Wavefronts on an r-corner
Takaharu Tsukada
We introduce the notion of reticular Legendrian unfoldings in order to investigate stabilities of bifurcations of wavefronts generated by a hypersurface germ with a boundary, a cor…