chaos) in unidirectionally coupled glow discharge-semiconductor systems. The chaos in the response system is obtained through period-doubling cascade of the drive system such that it admits infinitely many unstable periodic solutions and sensitivity is present. Pre- viously, the extension of chaos through couplings has been considered by synchronization [2], [4]-[9]. The task is difficult for partial differential equations because of the choice of connecting parameters [10]-[12]. Kocarev et al. [10] suggested a useful time-discontinuous monitoring for synchronization, but our choice is based on a finite dimensional connection. It is demonstrated that the present results cannot be reduced to any one in the theory of synchronization of chaos. The technique of chaos extension suggested in the present research can be related to technical problems [13, 14], where collectives of microdischarge systems are considered and in models which appear in neural networks, hydrodynamics, optics, chemical reactions and electrical oscillators. Stabilization of multidimensional peri- odical regimes can be useful in applications of the glow discharge systems in conventional and energy saving lamps, beamers, flat TV screens, etc. The investigations of chaos theory for continuous-time dynamics started due to the needs of real world applications, especially with the studies of Poincaré [15], Cartwright and Littlewood [16], Levinson [17], Lorenz [18] and Ueda [19]. Chaotic dynamics has high effectiveness in the analysis of electrical processes of neural networks [20, 21] and can be used for optimization and self-organization problems in robotics [22]. The reason for that is the opportunities provided by the dynamical structure of chaos. Starting from the primary investigations [16]-[19], chaos has been found as an internal property of systems, and studies in this sense have prolonged until today, for example, by the construction of discrete maps [23]-[26]. At the very beginning of the chaos analysis one has to mention the Smale Horseshoes technique [27] and symbolic dynamics [28]. Another opportunity to reveal chaotic dynamics is the usage of bifurcation diagrams [29, 30]. If one considers a mechanical or electrical system and perturb it by an external force which is bounded, periodic or almost periodic, then the forced system can produce a behavior with a similar property, bound- edness/periodicity/almost periodicity [31]-[35]. A reasonable question appears whether it is possible to use a chaotic force to obtain the same type of irregularity in physical systems. To meet the challenge, we introduced rigorous description of chaotic force as a function or a set of functions and described the input-output mechanism for ordinary differential equations in the studies [1], [36]-[47]. It was rigorously proved that an irregular behavior can follow the chaotic force very likely as regular motions do. We have applied the machinery to mechanical and electrical systems with a finite 2 1 Introduction