  The region occupied by the Hungaria asteroids has a high dynamical
complexity. In this paper, we analyse the main dynamic structures and their
influence on the known asteroids through the construction of maps of initial
conditions. We evolve a set of test particles placed on a perfectly rectangular
grid of initial conditions during 3 Myr under the gravitational influence of
the Sun and eight planets, from Mercury to Neptune. Moreover, we use the method
MEGNO in order to obtain a complete dynamical portrait of the region. A
comparison of our maps with the distribution of real objects allows us to
detect the main dynamical mechanisms acting in the domain under study such as
mean-motion and secular resonances. Our main results is the existence of a
small area inside a stable region where are placed the Hungaria asteroids. We
found that the influence of Mars has an important role for the dynamic
structure of the region, defining the limits for this population of asteroids.
Our result is in agreement with previous studies, which have indicated the
importance of the eccentricity of Mars for the stability of Hungaria asteroids.
However, we found that the secular resonance resulting from the precession of
perihelion due to a coupling with that of Jupiter proposed as limit for the
Hungaria region could not be determinant for this population of asteroids.

Earth and Planetary Astrophysics