Abstract
The electronic transmission properties of a necklace of loop system with nonlinear impurities is studied. It shows a multivalued dependence of the transmitted intensity on the input intensity in this nonlinear system. For the transmission-energy relation, if the nonlinearity parameter is zero, there exists a range in the lower-energy region where no transmitting is permitted. If the nonlinearity parameter is nonzero, there will be transmitting peaks in the originally transmitting inhibited region of the corresponding linear system.
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