Bifurcation structure and asymmetric sequences of cavity solitons

This paper tests the predictions of Coullet et al. on a specific optical system displaying cavity solitons (CS), namely a Kerr cavity. This study shows that the theory describes many of the features of the bifurcation structure of CS. Results show that the stable and unstable manifolds of fixed points and periodic orbits present a much higher level of complexity than is assumed in the work/analysis of Coullet et al., including the existence of additional CS solutions and complexes. This extra complexity is linked to homoclinic and heteroclinic intersections of the stable and unstable manifolds of the periodic solutions, and to the fact that the periodic solutions form a one-parameter family lying on a closed loop, rather than a line, in phase space.