Abstract
Abstract
We give a geometric description of the parabolic bifurcation locus in the space Rat
d
of all rational functions on
P
1
of degree d > 1, generalising the study by Morton and Vivaldi in the case of monic polynomials. The results are new even for quadratic rational functions.
Funder
Japan Society for the Promotion of Science
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics