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Abstract: A cuspidal loop L of a smooth planar vector field X0 is a singular cycle formed by the union of a cuspidal singularity, with 2-jet equivalent to y xx q- ( x2 q- bo xy) yy, and a connection between its two local separatrices. One considers smooth unfoldings X along the cuspidal loop L of X0, for a parameter 6 (P, 0). Moreover, one supposes that the cuspidal point is preserved for all values of parameter. Let P0 be the Poincar$ map of X0 along L. If it is not formally equal to identity, this map... (Update)
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BibTeX entry: (Update)
@misc{ panazzolo-bifurcations,
author = "D. Panazzolo and R. Roussarie",
title = "Bifurcations of the Cuspidal Loop Preserving the Nilpotent Singularity",
url = "citeseer.ist.psu.edu/article/panazzolo03bifurcations.html" }
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Documents on the same site (http://www.ime.usp.br/~dpanazzo/):
Bifurcations of the Cuspidal Loop Preserving the Nilpotent .. - Panazzolo, Roussarie (2003) (Correct)
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