  The vortex dynamics and the specific heat of a type II superconducting system
with quasi-periodic geometry is studied theoretically for different values of
interaction parameters using the numerical simulation technique, where the
vortex-vortex interaction potential is considered in the form of the modified
Bessel's function of first kind. The dynamics of the system is analysed by
phase space trajectories of the vortex for both high and low values as well as
for both high and low mismatch of vortex-vortex and vortex-pinning interaction
parameters. The specific heat variation with temperature is analysed
statistically for different values of interaction parameters. It is observed
that for low values and lower mismatch of interaction parameters, the system is
highly chaotic and shows a bifurcation pattern similar to Hopf bifurcation. The
specific heat also shows a highly divergent character in this situation.
However for high values and higher mismatch, the superconducting system tends
to be a very regular one. The trajectory of the vortices will also be very
stable in this situation. Similar situations are also observed respectively for
low and high values of the quasi-periodic parameter.
