On bifurcations of cusps

Abstract

Let f = R × R 2 , 0 → R 2 , 0 be an analytic mapping having a critical point at the origin. There is the corresponding one-parameter family ofThere will be presented effective algebraic methods of computing the number of cusps of f t , where 0 < |t| ≪ 1, emanating from the origin and having a positive/negative cusp degree.. with the help of Singular [7]. We have also used a computer program written by Łȩcki [16].