Clara Cuf'i-Cabr'e

collaborators

3 papers

math.DS2023

Invariant manifolds of maps and vector fields with nilpotent parabolic tori

Clara Cufí-Cabré, Ernest Fontich

We consider analytic maps and vector fields defined in $R^{2} \times T^{d}$ , having a $d$ -dimensional invariant torus $T$ . The map (resp. vector field) rest…

math.DS2020

Differentiable invariant manifolds of nilpotent parabolic points

Clara Cufí-Cabré, Ernest Fontich

We consider a map $F$ of class $C^{r}$ with a fixed point of parabolic type whose differential is not diagonalizable and we study the existence and regularity of the invariant manifo…

math.DS2020

Periods of Morse--Smale diffeomorphisms on $S^{n}$ , $S^{m} \times S^{n}$ , $\mathbb{C}P^n}$ and $\mathbb{H}P^n}$

Clara Cufí-Cabré, Jaume Llibre

We study the set of periods of the Morse--Smale diffeomorphisms on the $n$ -dimensional sphere $S^{n}$ , on products of two spheres of arbitrary dimension $\mathbb{S}^m \times…

Invariant manifolds of maps and vector fields with nilpotent parabolic tori

Differentiable invariant manifolds of nilpotent parabolic points

Periods of Morse--Smale diffeomorphisms on Sn, Sm×Sn, $\mathbb{C}P^n}$ and $\mathbb{H}P^n}$

Periods of Morse--Smale diffeomorphisms on $S^{n}$ , $S^{m} \times S^{n}$ , $\mathbb{C}P^n}$ and $\mathbb{H}P^n}$