  The interplay between the chirality of many biological molecules and the
energy injected at small length-scales as the result of biological processes is
at the base of the life of the cells. With the aim of unveiling the connection
between these two features, here we analyze by means of lattice Boltzmann
simulations the behavior of an active droplet of cholesteric liquid crystal
under the effect of intense active doping, within the framework of active gel
theory. We find that a droplet of chiral liquid crystal, fueled by active force
dipoles, develops defect loops (closed disclination lines) that pierce the
interior of the droplet, leading the droplet to develop an erratic motility
mode. When the droplet is fueled by in-warding active torque dipoles, three
different dynamical regimes develops at varying both the thermodynamic
chirality and the strength of active energy injection: a stable rotational
state at low activity, an intermittent disclination dance regime, and a
turbulent state where closed disclination lines formation is inhibited and new
pairs of oppositely charged surface defects leads to the development of chaotic
rotational motion. Finally, we show that out-warding torque dipoles are able to
sustain a periodical dynamics at higher chirality characterized by the
nucleation/annihilation of pairs of disclination rings.
