  Topological quantum state described by the global invariant has been
extensively studied in theory and experiment. In this letter, we investigate
the relationship between \emph{Zitterbewegung} and the topology of systems that
reflect the properties of the local and whole energy bands, respectively. We
generalize the usual two-band effective Hamiltonian to characterize the
topological phase transition of the spin-$J$ topological insulator. By studying
\emph{Zitterbewegung} dynamics before and after topological phase transition,
we find that the direction of quasiparticles' oscillation can well reflect
topological properties. Furthermore, we develop a quantitative calculation
formula for the topological invariant in the spin-$J$ Chern insulator and give
the selection rule of the corresponding dynamics. Finally, we demonstrate that
our theory is valid in different topological systems. The topological invariant
can be represented by local dynamical properties of the high-symmetry points in
the first Brillouin zone, which provides a new measurement method from the
dynamical perspective.
