  We investigate numerically the dynamical evolution of simulated meteoroid
stream of the Quadrantids ejected from the parent body of the asteroid (196256)
2003 EH1. The main goal of this work is to identify mean motion and secular
resonances and to study the mutual influence of resonance relations and close
encounters with the major planets. Since the dynamics of this asteroid is
predictable only on short time intervals, and not only close and/or multiple
close encounters with major planets, but also the presence of at least one
unstable resonance can lead to chaotic motion of test particles, we studied
their resonant dynamics. The dynamical evolution of the test particles expects
possible scenario for resonant motion. We conjecture that the reasons of chaos
are the overlap of stable secular resonances and unstable mean motions
resonances and close and/or multiple close encounters with the major planets.
The estimate of the stability of orbits in which the particles in simulations
moved was carried out by analyzing the behavior of the parameter MEGNO (Mean
Exponential Growth factor of Nearby Orbits). The larger part of the identified
resonances is stable. We found a peculiar behavior for this stream. Here, we
show that the orbits of some ejected particles are strongly affected by the
Lidov-Kozai mechanism that protects them from close encounters with Jupiter.
Lack of close encounters with Jupiter leads to a rather smooth growth in the
parameter MEGNO and the behavior imply the stable motion of simulation
particles of the Quadrantids meteoroid stream.
