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7 papers · 2 filters
Chaos near a reversible homoclinic bifocus
Pablo G. Barrientos, Artem Raibekas, Alexandre A. P. Rodrigues
We show that any neighborhood of a non-degenerate reversible bifocal homoclinic orbit contains chaotic suspended invariant sets on -symbols for all . This will be achie…
On the centralizer of vector fields: criteria of triviality and genericity results
Martin Leguil, Davi Obata, Bruno Santiago
In this paper, we investigate the question of whether a typical vector field on a compact connected Riemannian manifold has a `small' centralizer. In the case, we give…
Extremal exponents of random products of conservative diffeomorphisms
Pablo G. Barrientos, Dominique Malicet
We show that for a -open and -dense subset of the set of ergodic iterated function systems of conservative diffeomorphisms of a finite-volume manifold of dimension $d\g…
-openness of non-uniform hyperbolic diffeomorphisms with bounded norm
Chao Liang, Karina Marin, Jiagang Yang
We study the -topological properties of the subset of non-uniform hyperbolic diffeomorphisms in a certain class of partially hyperbolic symplectic systems which have bou…
Boundness of intersection numbers for actions by two-dimensional biholomorphisms
Javier Ribón
We say that a group of local (maybe formal) biholomorphisms satisfies the uniform intersection property if the intersection multiplicity takes only finitely many va…
Discrete dynamics and differentiable stacks
Alejandro Cabrera, Matias del Hoyo, Enrique Pujals
In this paper we relate the study of actions of discrete groups over connected manifolds to that of their orbit spaces seen as differentiable stacks. We show that the orbit stack o…