We investigate the impact of a finite response time of Kerr nonlinearities over the onset of spon- taneous 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.
Oscillatory dynamics in nano-cavities with non-instantaneous Kerr response
ARMAROLI, Andrea;MALAGUTI, Stefania;BELLANCA, Gaetano;TRILLO, Stefano;
2011
Abstract
We investigate the impact of a finite response time of Kerr nonlinearities over the onset of spon- taneous 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.File in questo prodotto:
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