A novel design of Dual-Core Photonic Crystal Fiber (DC-PCF) with silica-air microstructures is proposed in this paper. Nonlinearity and confinement loss of DC-PCF are evaluated by using a Full-Vectorial Finite Element Method (FV-FEM) successfully. By optimizing the geometry of three ring DC-PCFs, a high nonlinearity (52w-1km-1) and low confinement loss (0.001dB/km) can be achieved at 1.55μm wav...

Nonlinear behaviour is ever-present in vibrations and other dynamical motions of engineering structures. Manifestations of nonlinearity include amplitude-dependent natural frequencies, buzz, squeak and rattle, self-excited oscillation and non-repeatability. This article primarily serves as an extended introduction to a theme issue in which such nonlinear phenomena are highlighted through divers...

We investigate the semi-classical properties of a two-parameter family of piece-wise linear maps on the torus known as the Casati-Prosen or triangle map. This map is weakly chaotic and has zero Lyapunov exponent. A correspondence between classical and quantum observables is established, leading to an appropriate statement regarding equidistribution of eigenfunctions in the semi-classical limit....

bifurcations leading to chaos have been investigated in a number of one dimensional dynamical systems by varying the parameters incorporated within the systems. the property hyperbolicity has been studied in detail in each case which has significant characteristic behaviours for regular and chaotic evolutions. in the process, the calculations for invariant set have also been carried out. a bro...

Abstract: In this paper, a method for determination of refractive index in membrane of fuel cell on basis of three-longitudinal-mode laser heterodyne interferometer is presented. The optical path difference between the target and reference paths is fixed and phase shift is then calculated in terms of refractive index shift. The measurement accuracy of this system is limited by nonlinearity erro...

In this paper, we introduce a novel method for establishing an efficiency map of interior permanent-magnet synchronous motors that are used electric vehicle propulsion, by employing the finite-element (FEM) and neural network (NN) to reduce analysis time. The electro-magnetic using FEM, particularly iron loss analysis, is significantly time-consuming owing nonlinearity post-processing. Moreover...

By coupling a probe transition to a Rydberg state using electromagnetically induced transparency (EIT) we map the strong dipole-dipole interactions onto an optical field. We characterize the resulting cooperative optical nonlinearity as a function of probe strength and density. We demonstrate good quantitative agreement between the experiment and an N-atom cooperative model for N=3 atoms per bl...

This paper analyzes fundamental phenomena from threecoupled relaxation oscillators. The system nonlinearity is a piecewiselinear hysteresis comparator and we can explicitly calculate the returnmap and its Lyapunov exponents. Then we clarify generation of chaos,%-torus,3-torus and various kinds of synchronizations. Also, a roughbifurcation diagram is given. It indicates t...

The nonlinear motion of underactuated mechanisms has drawn recent interests of researchers. The nonlinearity is often referred to as nonholonomy and related to many both theoretical and practical issues. In this paper, we rst analyze the nonlinear behavior of a two-joint planer manipulator with the second joint free from nonlinear dynamics point of view. We then discuss the simultaneous positio...