Supratransmission phenomenon in a discrete electrical lattice with nonlinear dispersion

Travelling waves in discrete electrical lattice with nonlinear symmetric capacitor

“…where Q n denotes the charge in the nonlinear capacitor and allows to determine the type of nonlinearity within the lattice. The nonlinear capacitor can be in the form of Toda lattice [13][14][15][16][17][18][19][20] or its expression can be obtained from the Taylor expansion of an experimentally double exponential form [21]. In that case, the nonlinear capacitance of the diode varactor has an asymmetric quadratic expression as in the low voltages reversebiased diode [22][23][24][25][26][27].…”

Travelling waves in discrete electrical lattice with nonlinear symmetric capacitor

“…Following Refs. [13][14][15][16][17][18][19], let us consider a unit cell of a dispersive nonlinear transmission line shown in Figure 1 as our model under investigation. Each unit cell, such as the nth one, contains a linear inductor L 1 in the series branch, and a linear inductor L 2 in parallel with a nonlinear capacitor C(V n ) in the shunt branch.…”

“…In NLTLs the nonlinearities come generally from the voltage dependence of the capacitance. The nonlinear capacitor can be in the form of logarithmic function as in the Toda lattice [13][14][15][16][17][18][19][20]. Marquié et al have observed experimentally localized mode the electrical lattice with this form of nonlinear capacitor.…”

Dynamics of Nerve Pulse Propagation in a Weakly Dissipative Myelinated Axon

“…However considering the nonlinearity of the medium, it may be possible to observe normal propagation along the axon provided the amplitude exceeds a certain threshold value. This mode of propagation called supratransmission has been realized in many physical systems [30]- [33].…”