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We study the capacitively coupled, quantum transmission line with charge discreteness, discussed in an earlier paper ͓Flores, Phys. Rev. B 64, 235309 ͑2001͔͒. Due to the difficulties of dealing with a highly nonlinear system, only a low-lying propagating wave solution was obtained then, the so-called cirquiton. In this work, we obtain a wave-front solution, valid for the long-wavelengh approximation. The propagation velocity v of the wave front depends on the ͑pseudo͒ flux parameter f; the physical requirement that v should be real implies the existence of allowed and forbidden regions ͑gaps͒ in the space of the parameter f. A study of the stability of the solutions is presented. We remark that it is possible to make a connection between our system and the ͑quantum͒ Toda lattice.

In this paper, we revisit the memristor concept within circuit theory. We start

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This brief presents an analysis of the nonlinear dynamics of a memristive inductive–capacitive circuit, driven by a sinusoidal voltage source. The analysis is carried out using multiple-scale technique. The memristance M(q) is modeled by a power law series of the electrical charge q, considering both passive and active M(q). The steady-state solution behavior, close to the resonant circuit condition, is investigated. Numerical simulations are reported for comparison with analytical results