  Dynamics of neutral test particles in the spacetime of a Bardeen AdS black
hole surrounded by quintessence dark energy is studied. First, we analyze the
properties of the black hole and possible values of the monopole charge and
quintessential parameters that allows the existence of the event horizon. The
effects of the parameters on the effective potential and the innermost stable
circular orbit radius are also studied. For the neutral test particles motion,
it is shown that as the quintessential parameters increase, the radius of ISCO
be increased. We have analyzed the dynamical behaviors of the neutral test
particles by applying techniques including Poincar'e sections, power density
and bifurcation diagram. It is shown that the presence of a quintessence
parameter creates the chaotic phenomenon for the motion of neutral particle in
a Bardeen AdS black hole spacetime. The amplification of chaos typically occurs
as the energy increases under appropriate circumstances.
