Abstract
The dynamics of wave packet splitting in a dissipative Schrödinger-like dynamical system is theoretically studied by considering the model of an amplitude-modulated mode-locked laser with frequency shifting provided by an intracavity frequency modulation. It is shown that as the strength of the frequency modulation is increased, a bifurcation takes place which corresponds to a transition from a single-pulse steady-state oscillation to a two-pulse coherent oscillatory dynamics. An analytical model for pulse splitting bifurcation and onset of two-mode oscillatory dynamics, based on a Gaussian pulse analysis, is presented and compared with numerical simulations.
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