Francisco Braun

activity

20142026

most citedZero-Hopf bifurcation in a 3-D jerk system

23 citations · 56 across the 9 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.GT2020★ 3 cited

On global invertibility of semi-algebraic local diffeomorphisms

Francisco Braun, Luis Renato Gonçalves Dias, Jean Venato-Santos

In this partly expository paper we discuss conditions for the global injectivity of $C^{2}$ semi-algebraic local diffeomorphisms $f : R^{n} \to R^{n}$ . In case $n > 2$ , w…

math.DS2020★ 23 cited

Zero-Hopf bifurcation in a 3-D jerk system

Francisco Braun, Ana C. Mereu

We consider the 3-D system defined by the jerk equation $x ... = - a x ¨ + x x ˙^{2} - x^{3} - b x + c x ˙$ , with $a, b, c \in R$ . When $a = b = 0$ and $c < 0$ the eq…

math.CV2020

A canonical embedding of $Aut_{hol} (C^{n})$

Francisco Braun, Frederico Xavier

The group $Aut_{hol} (C^{n})$ of self-biholomorphisms of $C^{n}$ consists of affine maps if $n = 1$ , but in higher dimensions it is a large object that has n…

On global invertibility of semi-algebraic local diffeomorphisms

Zero-Hopf bifurcation in a 3-D jerk system

A canonical embedding of Authol​(Cn)

A canonical embedding of $Aut_{hol} (C^{n})$