Year: 2012
Type: preprint
Abstract: Parabolic bifurcations in one complex dimension demonstrate a wide variety of interesting dynamical phenomena. In this paper we consider parabolic bifurcations of families of diffeomorphisms in two complex dimensions. Specifically we consider a two variable family of diffeomorphisms $F_ε: M\to M$ given locally by $$F_ε(x,y) = (x + x^2 + ε^2+ ..., b_εy+...)$$ where $|b_ε|<1$, and the `$...$' terms involve $x$, $y$ and $ε$.
Source: arXiv (Cornell University)
Authors: Bedford, Eric, Smillie, John, Ueda, Tetsuo
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W67187559