We simulate a semi-flexible active filament that exhibits spontaneous oscillations on
clamping and show self-propulsion when left free. The activity on the filament relies on the
nano-dimers distributed at regular intervals along the chain. With an emphasis on the
spontaneous beating of a clamped filament, we demonstrate that the two competing forces
necessary for oscillation are the elastic forces due to polymer rigidity and the active forces
due to chemical activity. In addition, we also study the synchronization of two extensile …