C. M. Carballo

activity

20012011

most citedJets of closed orbits of Mañé generic Hamiltonian flows

8 citations · 9 across the 4 of their papers we have counts for

collaborators

4 papers

math.DS2011★ 8 cited

Jets of closed orbits of Mañé generic Hamiltonian flows

C. M. Carballo, J. A. G. Miranda

We prove a perturbation theorem for the $k$ -jets, $k \geq 2$ , of the Poincaré map of a closed orbit of the Hamiltonian flow of a Tonelli Hamiltonian $H : T^{*} M \to R$ , on a closed man…

math.DS2003

Omega-limit sets close to singular-hyperbolic attractors

C. M. Carballo, C. A. Morales

We study the omega-limit sets $ω_{X} (x)$ in an isolating block $U$ of a singular-hyperbolic attractor for three-dimensional vector fields $X$ . We prove that for every vector field $Y…

math.DS2001★ 1 cited

Homoclinic classes for generic C^1 vector fields

C. M. Carballo, C. A. Morales, M. J. Pacifico

We prove that homoclinic classes for a residual set of C^1 vector fields X on closed n-manifolds are maximal transitive and depend continuously on periodic orbit data. In addition,…

math.DS2001

Homoclinic classes and finitude of attractors for vector fields on n-manifolds

C. M. Carballo, C. A. Morales

A homoclinic class of a vector field is the closure of the transverse homoclinic orbits associated to a hyperbolic periodic orbit. An attractor (a repeller) is a transitive set to…