  We investigate the dynamical evolution of strongly interacting anyons
confined in a weak harmonic trap using the exact anyon-fermion mapping method.
The density profiles, momentum distribution, and the reduced one-body density
matrix are obtained for different statistical parameters. The density profiles
of anyons display the same behaviors irrespective of statistical parameter
during the evolution. As the harmonic trap is turned off suddenly, the momentum
distributions exhibit the symmetric fermion-like behaviour in the long time
evolution. As the trap frequency is quenched, the momentum distribution exhibit
an asymmetry breath mode during the evolution. The reduced one-body density
matrix show the dynamical symmetry broken and reproduced behaviour.
