Jones matrix computation is one of the widely used methods in nonlinearitycalculation in laser interferometers. In this paper, the nonlinearity error in developedthree-longitudinal mode heterodyne interferometer (DTLMI) has been mathematicallymodeled at various speeds, by using Jones matrix calculations. This review has been donedespite the fact that simultaneously the main factors including no...

We prove the existence and uniqueness of a local maximal solution to an H1-critical stochastic wave equation with multiplicative noise on smooth bounded domain D⊂R2 exponential nonlinearity. First, we derive appropriate deterministic Strichartz inequalities in suitable spaces and, then use them arguments based fixed point method show well-posedness result. also present explosion result for cons...

A new model of neural networks in terms the memristive Hindmarsh–Rose equations is proposed. Globally dissipative dynamics shown with absorbing sets state spaces. Through sharp and uniform grouping estimates by leverage integral interpolation inequalities tackling linear network coupling against nonlinearity, it proved that exponential synchronization at a convergence rate occurs when strengths...

We present a numerical method for a class of boundary value problems on the unit interval which feature a type of exponential and product nonlinearities. Also, we consider singular case. We construct a kind of spectral collocation method based on shifted Jacobi polynomials to implement this method. A number of specific numerical examples demonstrate the accuracy and the efficiency of the propos...

In this note, small amplitude free vibration of a double-beam system in presence of inner layer nonlinearity is investigated. The nonlinearity is due to inner layer material and is not related to large amplitude vibration. At first, frequencies of a double-beam system with linear inner layer are studied and categorized as synchronous and asynchronous frequencies. It is revealed that the inner l...

To keep up with the exponential growth of data network traffic, large transmission capacity per a fiber is strongly needed for optical communication systems. Recent progress in the transmission capacity mainly relies on multi-level modulation techniques with digital coherent detection. However, the larger capacity transmission over long distance requires higher optical signal-to-noise ratio (OS...

Integral nonlinearity (INL) should be main source of ADC's harmonic distortion. The basic question is importance of dynamic INL. There are still open questions how to describe dynamic INL and if the dynamic corrections of ADC have sense. Key-Words: ADC, testing, static, dynamic, INL, hysteresis

Solitons in one-dimensional parity-time (PT )-symmetric periodic potentials are studied using exponential asymptotics. The new feature of this exponential asymptotics is that, unlike conservative periodic potentials, the inner and outer integral equations arising in this analysis are both coupled systems due to complex-valued solitons. Solving these coupled systems, we show that two soliton fam...