Specific Features of State Switching in Threshold Bistable Systems

A threshold bistable system is investigated near the threshold of state switching. It is shown that in spite of the fact that the equation describing this system has no stable localized structures among its solutions, their wave packets can form solitons of the nonlinear Schrödinger equation. The dynamic critical index related to the cross section of scattering on fluctuation modes is calculated in the vicinity of the same point for the second-order expansion in .