Influence of intrapulse Raman scattering on stationary pulses in the presence of linear and nonlinear gain as well as spectral filtering.

We examine numerically the influence of intrapulse Raman scattering (IRS) on the stable stationary pulses in the presence of constant linear and nonlinear gain as well as spectral filtering. Numerical results show that the small change of the value of the parameter describing IRS leads to qualitatively different behavior of the evolution of pulse amplitudes. We prove that the strong dependence of the pulse dynamics on the parameter describing IRS is related to the existence of the Poincaré-Andronov-Hopf bifurcation and the appearance of the unstable limit cycle.