The steady interest in nonlinear systems of optical data processing that has been shown in the last few decades is due to the prospects of direct optical image transformation and control of the space-time structure of light fields. The first investigations in this field dating back to the 1960s were developed by generalizing the ideas and methods of traditional (static) holography as applied to the processes of recording and processing the wave fields in nonlinear media. Subsequently, a close relationship between dynamic holography and nonlinear optics was established. The works along these lines revealed the phenomenon of wave-front reversal (phase conjugation) of light beams under four-wave mixing (FWM) [1]. The upsurge of investigations on the phase-conjugation optics in the 1980s set new ways in using dynamic gratings for solving various problems of transformation of the space-time structure of light fields (phase-distortion compensation, radiation self-focusing on a target, associative holographic memory, dynamic grating lasers, etc.) [2]. At the same time, the discovery in the mid-1970s of the phenomenon of optical bistability revealed at lightbeam propagation in a nonlinear Fabry–Perot interferometer filled with sodium vapors is noteworthy [3]. The investigations along these lines made it possible to devise a transphasor (an optical analog for the transistor) and optical limiters and to develop an optical memory system. The nonlinear interferometers proved to be very convenient systems for modeling various effects of self-organization. On their basis various dynamic regimes, including regenerative intensity pulsations and the transition to optical chaos were investigated [4]. In the last decade, nonlinear systems for controlling the spatial structure of laser beams received a large development effort [5]. Methods for generating light fields of new types — stationary spatially modulated, rotating, helical, and turbulent — ones were proposed. Analysis of the interaction of two light waves of equal input intensity at their counterpropagation in a nonlinear ring cavity revealed a new regime of optical bistability in which energy transfer from the less intense light beam to the more powerful one takes place and the effect of interferometer transmission asymmetry for two light beams with a practically equal input intensity is observed [6]. This effect, named asymmetric optical bistability, was also predicted later for the case of symmetric incidence of two light beams on the input mirror of a Kerr-nonlinearity Fabry– Perot interferometer [7]. The dynamics of nonlinear-optical systems under the conditions of symmetry breaking bifurcation was investigated by an example of anisotropic lasers with a saturating absorber [8] as well as in a distributed feedback system (Bragg grating) at counterpropagation of two light beams [9].