  The impact of Lorentz violation on the dynamics of a scalar field is
investigated. In particular, we study the dynamics of a scalar field in the
scalar-vector-tensor theory where the vector field is constrained to be unity
and time like. By taking a generic form of the scalar field action, a
generalized dynamical equation for the scalar-vector-tensor theory of gravity
is obtained to describe the cosmological solutions. We present a class of exact
solutions for an ordinary scalar field or phantom field corresponding to a
power law coupling vector and the Hubble parameter. As the results, we find a
constant equation of state in de Sitter space-time and power law expansion with
the quadratic of coupling vector, while a dynamic equation of state is obtained
for $n> 2$. Then, we consider the inflationary scenario based on the Lorentz
violating scalar-vector-tensor theory of gravity with general power-law
coupling vector and two typical potentials: inverse power-law and power-law
potentials. In fact, both the coupling vector and the potential models affect
the dynamics of the inflationary solutions. Finally, we use the dynamical
system formalism to study the attractor behavior of a cosmological model
containing a scalar field endowed with a quadratic coupling vector and a
chaotic potential.
