This book is primarily intended as a textbook for intermediate to advanced graduate students who have already had an introductory course on PDE and some familiarity with functional analysis …

This chapter is dedicated to the fact that the nonlinear device is not linear (not affine) in the sense that the output range is limited and that the input-output relation is curved‚ see figure 5.1. The …

In the nonlinear optical response of graphene, the nonlinear optical conductivity, saturable and reverse satu-rable absorption, phenomenon of Rabi oscillations, and Kerr efect are reviewed.

Currently, there is a surge of interest in nonlinear metamaterials, in view of their potential to induce abundant unusual behaviors including novel wave dynamics, thereby pushing the …

rchers who are learning the nonlinear FEM for the first time. The objective of this textbook is to simply introduce the nonlinear finite element analysis procedur

The nonlinear parameters α, β, γ , along with the linear parameter K0, are calibrated in this paper, and the remaining parameters will be fixed in further applications.

One of the exciting recent developments is the blurring of the roles of second and third order nonlinear optics, namely the creation of second order nonlinear effects via third order …

This is on the one hand the new paradigm of Economic Nonlinear Model Predictive Control, in which more general optimal control problems than those penalizing the distance to a desired …

Chapter 10 NONLINEAR STRUCTURAL ANALYSIS equires a nonlinear structural analysis. The structural nonlineari-ties can be classified as geometric nonlinearity, material nonlineari …

Initial condition responses of linear and nonlinear models of inverted pendulum on cart with pole placement controller, showing effects of nonlinearity on response.