Given a Boolean function f , the (Hamming) weight wt(f) and the nonlinearity N(f) are well known to be important in designing functions that are useful in cryptography. The nonlinearity is expensive to compute, in general, so any formulas giving the nonlinearity for particular functions f are significant. The well known majority function has been extensively studied in a cryptographic context f...

Applying strong electric field on piezoelectric actuators, on one hand very significant electroelastic material nonlinear effects will occur, on the other hand piezo plates and shells may undergo large displacements and rotations. In order to give a precise prediction of piezolaminated smart structures under large electric field, this paper develops a finite element (FE) model accounting for bo...

Most homodyne interferometers have a quadrature detector system that includes two polarizing beam splitters that cause nonlinearity of the order of a few nanometers by phase mixing. Detectors should have the same gains to reduce nonlinearity under the assumption that there is no loss in optical components. However, optical components exhibit some loss. We show that nonlinearity can be reduced t...

We study the dynamics of localized pulses in complex cubic–quintic Ginzburg–Landau (GL) equation with strong nonlinearity management. The generalized GL equation, averaged over rapid modulations nonlinearity, is derived. employ variational approach to this derive a dynamical system for dissipative soliton parameters. By using numerical simulations and full GP we show that nonlinearity-managed s...

Alongshore sandbars are often present in the nearshore zones of storm-dominated microto mesotidal coasts. Sandbar migration is the result of a large number of small-scale physical processes that are generated by the incoming waves and the interaction between the wavegenerated processes and the morphology. The presence of nonlinearity in a sandbar system is an important factor determining its pr...