– We have derived the local electric field inside graded metal-dielectric composite films with weak nonlinearity analytically, which further yields the effective linear dielectric constant and third-order nonlinear susceptibility of the graded structures. As a result, the composition-dependent gradation can produce a broad resonant plasmon band in the optical region, resulting in a large enhanc...

In dimension two, we investigate a free energy and the ground state of Schrödinger–Poisson system coupled with logarithmic nonlinearity in terms underlying functional inequalities which take into account scaling invariances problem. Such can be considered as nonlinear Schrödinger equation cubic but nonlocal Poisson nonlinearity, local nonlinearity. Both cases repulsive attractive forces are con...

contemporary architecture by symbolic and visual design creates an image in the minds of tourists so that these images are then converted to urban brands. combining symbolic monuments and modern buildings in the world today is a promising development of cities in many municipalities, municipalities and government agencies to freely and without regard to the needs of their local employs all the ...

In this presentation we consider efficient numerical strategies designed to compute the evolution of large structures undergoing localized nonlinear phenomena such as plasticity, damage, cracking or microbuckling. Despite Newton-Schur-Krylov strategies which associate both Newton type solvers and domain decomposition methods (and especially non-overlapping ones [1,2]) provide an efficient frame...

Recent research in neural networks science and neuroscience for modeling complex time series data and statistical learning has focused mostly on learning from high input space and signals. Local linear models are a strong choice for modeling local nonlinearity in data series. Locally weighted projection regression is a flexible and powerful algorithm for nonlinear approximation in high dimensio...

When material is subjected to an intense load its stiffness changes due to elastic nonlinearity. This effect is especially pronounced in damaged materials so that nonlinearity can be used as an indication of incipient damage. Under dynamic load, mechanical constraint between the fragments of planar defects provides gigantic nonlinearity in finite-amplitude contact vibrations. The local vibratio...

We show theoretically how quantum interference between linearly coupled modes with weak local nonlinearity allows the generation of continuous variable entanglement. By solving the quantum master equation for the density matrix, we show how the entanglement survives realistic levels of pure dephasing. The generation mechanism forms a paradigm for entanglement generation in arrays of coupled qua...

In this paper, we conduct a fitness landscape analysis for multiobjective combinatorial optimization, based on the local optima of multiobjective NK-landscapes with objective correlation. In singleobjective optimization, it has become clear that local optima have a strong impact on the performance of metaheuristics. Here, we propose an extension to the multiobjective case, based on the Pareto d...