  Generation of mechanical oscillation is ubiquitous to wide variety of
intracellular processes. We show that catchbonding behaviour of motor proteins
provides a generic mechanism of generating spontaneous oscillations in
motor-cytoskeletal filament complexes. We obtain the phase diagram to
characterize how this novel catch bond mediated mechanism can give rise to
bistability and sustained limit cycle oscillations and results in very
distinctive stability behaviour, including bistable and non-linearly stabilised
in motor-microtubule complexes in biologically relevant regimes. Hitherto, it
was thought that the primary functional role of the biological catchbond was to
improve surface adhesion of bacteria and cell when subjected to external forces
or flow field. Instead our theoretical study shows that the imprint of this
catch bond mediated physical mechanism would have ramifications for whole gamut
of intracellular processes ranging from oscillations in mitotic spindle
oscillations to activity in muscle fibres.
