Deep within galaxies like the Milky Way, astronomers have found a fascinating legacy of
Einstein's general theory of relativity: supermassive black holes. Connected to the evolution …

Recent work on the dynamical evolution of galactic nuclei containing supermassive black
holes is reviewed. Topics include galaxy structural properties, collisionless and collisional …

In this paper we deal with an alternative technique to study global dynamics in Hamiltonian
systems, the mean exponential growth factor of nearby orbits (MEGNO), that proves to be …

In a first part we discuss the well-known problem of the motion of a star in a general non-
axisymmetric 2D galactic potential by means of a very simple but almost universal system …

We introduce a new, simple and efficient method for determining the ordered or chaotic
nature of orbits in two-dimensional (2D), four-dimensional (4D) and six-dimensional (6D) …

We investigate the detailed dynamics of multi-dimensional Hamiltonian systems by studying
the evolution of volume elements formed by unit deviation vectors about their orbits. The …

The aim of this work is to review the fundamental ideas behind the stability problem,
emphasizing the differences between two well-known mechanisms that could lead to chaos …

We use Laskar's frequency mapping technique to study the dynamics of triaxial galaxies with
central density cusps and nuclear black holes. For ensembles of∼ 10 4 orbits, we …

Several long, dynamically cold stellar streams have been observed around the Milky Way
Galaxy, presumably formed from the tidal disruption of globular clusters. In integrable …

Frequency map analysis (FMA) is a refined numerical method based on Fourier techniques
that provides a clear representation of the global dynamics of multidimensional systems …