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We describe a limiting case when nonlinear dynamics of an ac-driven semiconductor superlattice in the miniband transport regime is governed by a periodically forced and damped pendulum. We find analytically the conditions for a transition to chaos and consider an influence of temperature on the effect. We also discuss fractional dc voltage states in a superlattice originating from phase-locked states of the pendulum.
This is a pre-print. It is also available at: http://arxiv.org/abs/cond-mat/0208583. The definitive version: Physics Letters A, 305(5), pp 281-288, is available at: http://www.sciencedirect.com/science/journal/03759601.