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Non-KAM dynamical chaos in semiconductor superlattices Arkadii Krokhin, UNT I will present our new results concerning electron dynamics in semiconductor superlattices in the presence of non-parallel electric and magnetic field. In this geometry the electrons in the superlattice miniband turn out to form a non-KAM dynamical system that exhibits a non-traditional chaotic behavior (PRL 87, 046803 (2001). Due to the resonant coupling between the Bloch oscillations and the cyclotron rotation the electron phase space is threaded by a complicated stochastic web, along which electrons diffuse much faster. In the recent experiment carried out in the University of Nottingham the signatures of the non-KAM behavior have been observed for the first time (to appear in Nature). This experiment provides a sensitive new mechanism for controlling transmission through semiconductor heterostructures.