highly nonlinear
Generalised criteria on delay dependent stability of highly nonlinear hybrid stochastic systems
... for highly nonlinear hybrid stochastic differential delay equations (SDDEs) (by highly nonlinear we mean the coefficients of the SDDEs do not have to satisfy the linear growth ...
18
Stability analysis of highly nonlinear hybrid multiple-delay stochastic differential equations
... The classical conditions for the existence and uniqueness of the global solution are the local Lipschitz condition and the linear growth condition (see, e.g., [24]). In this paper, we need only the local Lipschitz ...
18
Optimal solution error covariance in highly nonlinear problems of variational data assimilation
... Some nonlinear least-square problems, in which the normality of the estimation error holds for “practically rele- vant” sample sizes, are said to exhibit a “close-to-linear” sta- tistical behavior (Ratkowsky, ...
8
Iterative scheme to a coupled system of highly nonlinear fractional order differential equations
... In this article, we have successfully developed an iterative scheme for maximal and minimal solutions to a coupled system of highly nonlinear fractional order differential equations. Where the nonlinearities ...
14
Stability of highly nonlinear neutral stochastic differential delay equations
... Abstract—Stability criteria for neutral stochastic differential delay equations (NSDDEs) have been studied intensively for the past several decades. Most of these criteria can only be applied to NSDDEs where their ...
7
Non Destructive Evaluation of Material System Using Highly Nonlinear Acoustic Waves
... of highly nonlinear solitary waves in a one-dimensional chain of spherical particles, and their use as information ...of nonlinear granular system using a commercially available software ...with ...
168
Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations
... are Borel measurable functions. The classical conditions for the existence and uniqueness of the global solution are the local Lipschitz condition and the linear growth condition (see, e.g., [9, 10, 11, 16]). In this ...
15
Stability of highly nonlinear hybrid stochastic integro-differential delay equations
... or nonlinear but bounded by linear ...for highly nonlinear hybrid stochastic di ff erential equations is investigated in [Fei, Hu, Mao and Shen, Automatica, ...of highly nonlinear ...
27
Exponential stability of highly nonlinear neutral pantograph stochastic differential equations
... In this paper, we investigate the exponential stability of highly nonlinear hybrid neutral pantograph stochastic differential equations(NPSDEs). The aim of this paper is to establish exponential stability ...
12
A simple piecewise cubic spline method for approximation of highly nonlinear data
... The model presented above for the approximation of data with highly nonlinear variation can be applied effi- ciently to various engineering problems. Because the model’s formulation is straightforward and ...
5
Supercontinuum Generation in Highly Nonlinear PQF with Two Zero Dispersion Wavelength
... dispersive nonlinear medium, it is subject to an extreme spectral broadening termed as white light supercontinuum ...the nonlinear dynamics can be ...of highly nonlinear fiber with an ...
14
Nonlinear effects of multi wavelength fiber laser and four wave mixing signals generation in few mode fiber and highly nonlinear fiber
... This study investigates the nonlinear effects produced in a highly nonlinear fiber (HNLF) and FMF by introducing FWM signal and MFL signal to both fibers. The generation of FWM is obtained from the ...
53
Applications of highly nonlinear holey fibres in optical communications
... additional nonlinear thresholding device to improve the contrast of the pattern-recognition signature is then ...of nonlinear spectral broadening and filtering in DSF ...length highly ...
163
Numerical Study of Highly Nonlinear Photonic Crystal Fiber with Tunable Zero Dispersion Wavelengths
... demonstrate highly nonlinear dispersion profile; therefore, those fibers cannot be applied directly to pulse compression like it made in case of chirped mirrors, for example [43] ...
11
Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients
... One of the important issues in the study of hybrid SDDEs is the automatic control, with current emphasis placed on asymptotic stability and boundedness arising from automatic control. There is an intensive literature in ...
16
Highly Nonlinear and Near-Zero Ultra-Flattened Dispersion Dodecagonal Photonic Crystal Fibers
... PCFs. Highly nonlinear PCFs (HN-PCF) are suitable for a variety of novel applications including wavelength conversion [5], optical parametric amplification and supercontinum generation ...
9
Homotopy Perturbation Method for Solving Highly Nonlinear Reaction-Diffusion-Convection Problem
... He’s Homotopy perturbation method suggested in this article is an efficient method for obtaining the most accurate solution of a highly nonlinear partial differential equation with initial condition. ...
6
Study of Multiwavelength Fiber Laser in a Highly Nonlinear Fiber
... An approach was presented in 1996 by implementing the technique of cooling the erbium-doped fiber (EDF) to 77K with liquid nitrogen that resulted as the linewidth of the erbium-doped fiber amplifier (EDFA) became ...
5
Adomian Decomposition Method for Solving Highly Nonlinear Fractional Partial Differential Equations
... Over the last 25 years the Adomian Decomposition Method [1, 2] has been applied to obtain a formal solution to a wide class of both deterministic and stochastic Partial Differential Equations. In recent years, this ...
6
Highly Nonlinear Bending Insensitive Birefringent Photonic Crystal Fibres
... Finally, the chromatic dispersion profile can be easily controlled by varying the hole diameter and the hole to hole spacing [28]. Controllability of chromatic dispersion in PCFs is a very important problem for practical ...
9