Transition from Stationary to Rotating Bound States of Dissipative Solitons

By the example of a cluster of two dissipative solitons, which are well localized solitary solutions of a 3-component reaction-diffusion system in 2-dimensional space, we demonstrate that in dissipative systems a bifurcation of stationary well localized structures to uniform rotating structures is possible. The underlying mechanism is similar to the mechanism of the drift (traveling) bifurcation. For appropriate choice of the path in parameter space of the considered reaction-diffusion system the rotational bifurcation precedes the drift bifurcation. The theoretically predicted velocities are compared to solutions of the reaction-diffusion system.