Our group has had a long-time experience in nonlinear and chaotic spatiotemporal pattern formation in semiconductors [31,32,33,34]. During the past proposal period, we mainly dealt with the control of such patterns by time delayed feedback. Thereby we have obtained numerous fundamental results of chaos control in spatially extended systems with global coupling, which are independent of the specific microscopic properties of the system. In particular we achieved to get a deeper understanding of how various control schemes (local, global and periodically modulated) work. Moreover we managed to obtain generic results for complex front dynamics. Three semiconductor systems served as concrete models: (i) a simple generic reaction-diffusion system with global coupling for transport in semiconductor heterostructures, like the HHED, (ii) the resonant tunneling diode (DBRT) and (iii) the semiconductor superlattice. The two latter are of particular interest with regard to applications in semiconductor physics. Besides collaborations within the Sfb, from which joint publications arose, we also had important collaborations with - guest scientist Dr. P. Rodin (Ioffe Physico-Technical Institute St. Petersburg), Dr. W. Just (Queen Mary and Westfield College, London), Dr. N. Janson (Lancaster University and Loughborough University, UK) and Dr. A. Balanov (Lancaster University, UK, and Saratov State University, Russia) as well as other scientists (J. Socolar, USA, L. Bonilla, Madrid and others). Dr. Rodin's stay has been at large supported by an Alexander-von-Humboldt fellowship.
The work in progress is divided into three parts, according to the respective system under investigation.