  We investigate the cosmology of a class of model with noncanonical scalar
field and matter in an anisotropy background. We find fixed points and their
stability which constraints equation of state parameter for the matter. This is
done after expressing the Einstein equations in terms of dimensionless
variables. Similarly we define a set of suitable dynamical variables for
studying bouncing solutions. The condition for nonsingular bounce is obtained.
Here we show, numerically, that solution that of a cyclic universe exist for
the certain form of kinetic term of noncanonical scalar field and the time
period of cycle depends on the kinetic term of noncanonical scalar field. In
certain case we find that a cyclic universe can be approximated to be a single
bouncing scenario for the entire evolution of the dynamical variables.
Resemblling an eternal bouncing scenario, this model may also be free from BKL
instability. Also, the univerese isotropize in the expansion phase and this
isotropization can be delayed to some extent by tuning the the parameter of the
model.
