  We introduce and investigate the effects of a new class of stochastic
resetting protocol called subsystem resetting, whereby a subset of the system
constituents in a many-body interacting system undergoes bare evolution
interspersed with simultaneous resets at random times, while the remaining
constituents evolve solely under the bare dynamics. We pursue our investigation
within the ambit of the well-known Kuramoto model of coupled phase-only
oscillators of distributed natural frequencies. Here, the reset protocol
corresponds to a chosen set of oscillators being reset to a synchronized state
at random times. We find that the mean $\omega_0$ of the natural frequencies
plays a defining role in determining the long-time state of the system. For
$\omega_0=0$, the system reaches a synchronized stationary state at long times,
characterized by a time-independent non-zero value of the synchronization order
parameter. Moreover, we find that resetting even an infinitesimal fraction of
the total number of oscillators has the drastic effect of synchronizing the
entire system, even when the bare evolution does not support synchrony. By
contrast, for $\omega_0 \ne 0$, the dynamics allows at long times either a
synchronized stationary state or an oscillatory synchronized state, with the
latter characterized by an oscillatory behavior as a function of time of the
order parameter, with a non-zero time-independent time average. Our results
thus imply that the non-reset subsystem always gets synchronized at long times
through the act of resetting of the reset subsystem. Our results, analytical
using the Ott-Antonsen ansatz as well as those based on numerical simulations,
are obtained for two representative oscillator frequency distributions, namely,
a Lorentzian and a Gaussian. We discuss how subsystem resetting may be employed
as an efficient mechanism to control attainment of global synchrony.
