%0 Journal Article %T Oscillatory dynamics in nanocavities with noninstantaneous Kerr response %A Andrea Armaroli %A Stefania Malaguti %A Gaetano Bellanca %A Stefano Trillo %A Alfredo de Rossi %A Sylvain Combri¨¦ %J Physics %D 2012 %I arXiv %R 10.1103/PhysRevA.84.053816 %X We investigate the impact of a finite response time of Kerr nonlinearities over the onset of spontaneous oscillations (self-pulsing) occurring in a nanocavity. The complete characterization of the underlying Hopf bifurcation in the full parameter space allows us to show the existence of a critical value of the response time and to envisage different regimes of competition with bistability. The transition from a stable oscillatory state to chaos is found to occur only in cavities which are detuned far off-resonance, which turns out to be mutually exclusive with the region where the cavity can operate as a bistable switch. %U http://arxiv.org/abs/1201.6621v1