Using sounds and sonifications for astronomy outreach

Good astronomy pictures, like those of the HST, play an important and wellknown role in astronomy outreach, triggering curiosity and interest. This same aim can also be achieved by means of sounds. Here we present the use of astronomy-related sounds and data sonifications to be used in astronomy outreach. These sounds, which people are unlikely to hear in the normal course of things, are a good tool for stimulating interest when teaching astronomy. In our case, sounds are successfully used in ‘‘The sounds of science,’’ a weekend science-dissemination program heard on the principal national radio station, Radio Nacional de Espan˜a (RNE). But teachers can also easily make use of these sounds in the classroom, since only a simple cassette player is needed

Poisson-Lie groups, bi-Hamiltonian systems and integrable deformations

Given a Lie-Poisson completely integrable bi-Hamiltonian system on $\mathbb{R}^n$, we present a method which allows us to construct, under certain conditions, a completely integrable bi-Hamiltonian deformation of the initial Lie-Poisson system on a non-abelian Poisson-Lie group $G_\eta$ of dimension $n$, where $\eta \in \mathbb{R}$ is the deformation parameter. Moreover, we show that from the two multiplicative (Poisson-Lie) Hamiltonian structures on $G_\eta$ that underly the dynamics of the deformed system and by making use of the group law on $G_\eta$, one may obtain two completely integrable Hamiltonian systems on $G_\eta \times G_\eta$. By construction, both systems admit reduction, via the multiplication in $G_\eta$, to the deformed bi-Hamiltonian system in $G_\eta$. The previous approach is applied to two relevant Lie-Poisson completely integrable bi-Hamiltonian systems: the Lorenz and Euler top systems.Comment: 23 pages, 2 figures. Revised versio