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The connection between self-sustained current oscillations in superlattices and the famous van der Pol (vdP) equation is established by mapping a widely used model of self-sustained current oscillations to the vdP equation. Since this equation can describe an inductor-capacitor-resistor circuit with a nonlinear resistor of negative differential conductance, we have obtained an equivalent electric circuit for superlattices in the self-sustained current oscillation regime. The origin of the equivalent inductance of a superlattice is revealed. (C) 2005 American Institute of Physics

Self-sustained current oscillations in superlattices and the van der Pol equation