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- W2904166493 abstract "In this paper we describe the bifurcation diagram of the$2$-parameter family of vector fields $dot z = z(z^k+epsilon_1z+epsilon_0)$ over $mathbb Cmathbb P^1$ for $(epsilon_1,epsilon_0)in mathbb C^2$. There are two kinds of bifurcations: bifurcations of parabolic points and bifurcations of homoclinic loops through infinity. The latter are studied using the tool of the periodgon introduced in a particular case in cite{CR}, and then generalized in cite{KR}. We apply the results to the bifurcation diagram of a generic germ of 2-parameter analytic unfolding preserving the origin of the vector field $dot z = z^{k+1} +o(z^{k+1})$ with a parabolic point at the origin." @default.
- W2904166493 created "2018-12-22" @default.
- W2904166493 creator A5012415802 @default.
- W2904166493 date "2018-12-11" @default.
- W2904166493 modified "2023-09-27" @default.
- W2904166493 title "Two-parameter unfolding of a parabolic point of a vector field in $mathbb C$ fixing the origin." @default.
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