  We investigate the dynamics of a deterministic self-propelled particle
endowed with coherent memory. We evidence experimentally and numerically that
it exhibits several stable free states. The system is composed of a
self-propelled drop bouncing on a vibrated liquid driven by the waves it emits
at each bounce. This object possesses a propulsion memory resulting from the
coherent interference of the waves accumulated along its path. We investigate
here the transitory regime of the build-up of the dynamics which leads to
velocity modulations. Experiments and numerical simulations enable us to
explore unchartered areas of the phase space and reveal the existence of a
self-sustained oscillatory regime. Finally, we show the co-existence of several
free states. This feature emerges both from the spatio-temporal non-locality of
this path memory dynamics as well as the wave nature of the driving mechanism.
