Driven Dissipative Soliton Resonance

We investigate the enhancement of the dissipative soliton energy scalability by the injection of a low-power single-mode seed synchronized with a chirped-pulse oscillator round-trip. It is demonstrated that a threshold-like transition to multiple-pulse generation limits the maximum energies of dissipative solitons, in agreement with the thermodynamic interpretation of a strongly chirped pulse stability. We show that there are ``islands'' of instability within a stability range of energies which result from stochastic resonance between ``internal modes'' of soliton and quantum noise of the ``basin''. The transition to multiple-pulsing can be suppressed in a system driven by a comparatively low-power seed. However, seed power growth increases the mode-locking energy threshold and produces ``islands'' of instability as the dissipative soliton energy rises.