Dynamical Systems

Novelties on Lorenz attractors

Speaker: 

M. J. Pacifico - IM-UFRJ & SNS di Pisa

Date: 

Friday, 20 March, 2009 - 15:30

Venue: 

Anfiteatro 0.03

We shall introduce a class of attractors for 3-flows that encompasses the hyperbolic ones and the Lorenz attractor: they are transitive partially hyperbolic with central direction volume expanding and every equilibrium on it is hyperbolic.
...

Tangências C1-robustas.

Speaker: 

Lorenzo Díaz (PUC-Rio)

Date: 

Friday, 16 January, 2009 - 14:00

Venue: 

Anfiteatro 0.04

Apresentaremos um mecanismo semi-local (as misturadores tipo ferradura ou "blender-horseseshoes") que fornecem tangências robustas. Vermos um cenário natural onde estas ferraduras aparecem. Provaremos que classes homoclínicas sem decomposição dominada apresentam tangências robustas. (Trabalho em...

Noise-induced switching near a depth-two heteroclinic network arising in Boussinesq convection

Speaker: 

Olga Podvigina (International Institute of Earthquake Prediction Theory and Mathematical Geophysics, Moscow and Observatoire de la C\^ote d'Azur, CNRS, Nice.)

Date: 

Friday, 5 December, 2008 - 15:30

Venue: 

Anfiteatro 0.04

We consider a 4D system obtained via center manifold reduction from equations for Boussinesq convection. For an open set of parameter values the system possesses a heteroclinic network, which includes a connection from an equilibrium to a conventional heteroclinic cycle. We investigate dynamics...

Linearization of resonant vector fields

Speaker: 

José Basto Gonçalves

Date: 

Friday, 14 November, 2008 - 15:30

Venue: 

Anfiteatro 0.04

A method allowing the formal linearization of a large class of vector fields with resonant eigenvalues is presented, the admissible nonlinearities being characterized by conditions that are easy to check. This method also gives information on the terms actually present in a nonlinear normal...

On Ruelle's theorem for random countable Markov shifts

Speaker: 

Manuel Stadlbauer (CMUP)

Date: 

Friday, 17 October, 2008 - 14:30

Venue: 

Anfiteatro 0.04

In case of a random countable topologically mixing Markov shift, a relative version of the Ruelle--Perron--Frobenius theorem is formulated. The proof relies on a new construction of an equivariant family of fiber measures using Crauel's relative Prohorov theorem. Some properties of the relative...

Multidimensional Rovella-like singular attractors

Speaker: 

Vitor Araújo

Date: 

Friday, 12 September, 2008 - 13:30

Venue: 

Anfiteatro 0.04

In a joint work with A. Castro, M. Pacifico and V. Pinheiro we present a multidimensional flow exhibiting a Rovella-like attractor: a partially hyperbolic transitive invariant set with a non Lorenz-like singularity accumulated by regular orbits. Moreover, this attractor has a physical measure...

Pages

Subscribe to RSS - Dynamical Systems