For the hardening nonlinear system, the bifurcations and chaos eliminate dense linear resonances above the nonlinear locally resonant (NLR) bandgap. Conse-quently, the chaos band …

Nature is essentially nonlinear and this characteristic is responsible for a great variety of possibilities of natural systems. Natural rhythms can be understood as a manifestation of …

The nonlinear refractive index of optical fibers engenders these phenomena, which greatly contribute to the capabilities and impediments of high-capacity Lightwave systems.

The nonlinear Schrödinger equation is an equation that can be interpreted as the differential law of the development in time of a system.

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.

In short, it would be more appropriate to say that a nonlinear PK response is the result of some concentration-dependent clearance throughout the path that goes from the absorption site to …

Nonlinear Heat Equations: Basic Models and Mathematical Techniques This chapter collects a series of results on the theory of nonlinear heat equations that may be useful to the reader for …

The search for stationary solutions to nonlinear wave equations leads to semi-linear elliptic PDE on noncompact domains. A device of P.-L. Lions known as concentration-compactness is …

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.

There are two approaches used for the formulation of the geometric nonlinear problem—the Eulerian approach and the Lagrangian approach. In the former, the fsormulation is done on …