The nonlinear case

The book is intended to provide an introduction to the effects of nonlinear elements in feedback control systems. A central topic is the use of the Describing Function (DF) method since in combination with simulation it provides an excellent approach for the practicing engineer and follows on logically from a first course in classical control, such as the companion volume in this series. Some of the basic material on the topic can be found in my earlier book which is frequently referenced throughout the text....
176p sn_buon 29112012 50 5 Download

The nonlinear vibration of a pendulum whose support undergoes arbitrary rectilinear harmonic motion is studied. The main attention is paid to the resonant cases and the stationary vibrations. The resonant conditions are explained. The amplitude  frequency curves are plotted for various values of parameters and the stability of vibration is investigated. The rotating motion of the pendulum and its stability are also considered.
9p thienthanquydu 21102018 12 0 Download

We developed the nonlinear model of pipeline dynamics with highspeed liquid motion. On the basis of the variational methods we constructed the nonlinear discrete model and numerical algorithm for investigation of problems of dynamics and dynamical stability of pipeline. We considered examples of dynamical behavior of the system for different velocities of liquid flowing, including the case of critical velocity of flow, when loss of straight line stability of pipeline is possible.
10p thienthanquydu 21102018 21 0 Download

By using a quantum kinetic equation for electrons, we have studied the Acoustoelectric effects in doped semiconductor superlattice (DSSL) under the influence of confined phonon. Considering the case of the electron  acoustic phonon interaction, we have found the expressions of the nonlinear quantum acoustoelectric current.
8p viposeidon2711 17092019 9 0 Download

The nonlinear absorption of a strong electromagnetic wave caused by confined electrons in cylindrical quantum wires is theoretically studied by using the quantum kinetic equation for electrons. The problem is considered in the case electronacoustic phonon scattering. Analytic expressions for the dependence of the nonlinear absorption coefficient of a strong electromagnetic wave by confined electrons in rectangular quantum wires on the temperature T are obtained.
6p tuanlocmuido 19122012 38 1 Download

We consider an inverse problem for determining an inhomogeneity in a viscoelastic body of the Zener type, using Cauchy boundary data, under cyclic loads at low frequency. We show that the inverse problem reduces to the one for the Helmholtz equation and to the same nonlinear Calderon equation given for the harmonic case. A method of solution is proposed which consists in two steps : solution of a source inverse problem, then solution of a linear Volterra integral equation.
9p thienthanquydu 23102018 18 0 Download

The solution of a random semilinear hyperbolic system with singular initial data is sought as a random Colombeau distribution. The product of 2 additive white noises is well tackled within the theory of random Colombeau distributions. In the special case of a random predator–prey system, the exact Colombeau solution is obtained under some assumptions when the process is driven by doubly reflected Brownian motions.
13p tuongvidanh 06012019 19 0 Download

In this paper, we studied the progression of shallow water waves relevant to the variable coefficient Korteweg–de Vries (vcKdV) equation. We investigated two kinds of cases: when the dispersion and nonlinearity coefficients are proportional, and when they are not linearly dependent. In the first case, it was shown that the progressive waves have some geometric structures as in the case of KdV equation with constant coefficients but the waves travel with time dependent speed. In the second case, the wave structure is maintained when the nonlinearity balances the dispersion.
7p trinhthamhodang1 16112019 12 0 Download

The analytic expressions of the free energy, the mean nearest neighbor distance between two atoms and the nonlinear deformation quantities such as the density of deformation energy, the maximum real stress and the limit of elastic deformation for interstitial alloy AB with BCC structure under pressure are derived from the statistical moment method. The nonlinear deformations of main metal A is special case of nonlinear deformation for interstitial alloy AB.
9p tamynhan9 02122020 1 0 Download

This study aims to examine the nexus between tourism, economic growth, and CO2 emissions in Pakistan. We examined the asymmetric relationship between tourism, economic growth, and CO2 emissions for the period 1991 to 2019. We applied NARDL technique, and Granger Causality to predict results. Moreover, we also employed ADF, PP unit root test, Zivot and Andrews test for structural breaks. The nonlinear autoregressive distributed lag is the most appropriate econometric estimator in the case if asymmetric association exists among the variables.
8p caygaocaolon11 18042021 7 0 Download

Evolution of global technologies has prompted increasing complexity of applications developed in both, the industry and the scientific research fields. These complexities are generally attributed to nonlinearities, poorly defined dynamics and absence of apriori information about the systems. Imprecision, uncertainties and vagueness in information about the system are also playing vital roles in enhancing the complexity of application.
518p wqwqwqwqwq 06072012 128 46 Download

It is a pleasure to edit the second volume of papers presented at the Mathematical Finance Seminar of New York University. These articles, written by some of the leading experts in financial modeling cover a variety of topics in this field. The volume is divided into three parts: (I) Estimation and DataDriven Models, (II) Model Calibration and Option Volatility and (III) Pricing and Hedging. The papers in the section on "Estimation and DataDriven Models" develop new econometric techniques for finance and, in some cases, apply them to derivatives.
379p haiduong_1 03042013 42 13 Download

This chapter deals with independent component analysis (ICA) for nonlinear mixing models. A fundamental difﬁculty in the nonlinear ICA problem is that it is highly nonunique without some extra constraints, which are often realized by using a suitable regularization. We also address the nonlinear blind source separation (BSS) problem. Contrary to the linear case, we consider it different from the respective nonlinear ICA problem.
26p duongph05 09062010 86 8 Download

We obtain global wellposedness, scattering, and global L10 spacetime t,x bounds for energyclass solutions to the quintic defocusing Schr¨dinger equao tion in R1+3 , which is energycritical. In particular, this establishes global existence of classical solutions. Our work extends the results of Bourgain [4] and Grillakis [20], which handled the radial case.
100p dontetvui 17012013 47 5 Download

Not as well appreciated as it ought to be is the fact that some polynomials are exceedingly illconditioned. The tiniest changes in a polynomial’s coefﬁcients can, in the worst case, send its roots sprawling all over the complex plane. (An infamous example due to Wilkinson is detailed by Acton [1].) Recall that a polynomial of degree n will have n roots. The roots can be real or complex, and they might not be distinct.
8p babyuni 17082010 59 2 Download

In this paper, a general propagation equation of ultrashort pulses in an arbitrary dispersive nonlinear medium has been used for the case of Kerr media. This equation which is called Generalized Nonlinear Schroedinger Equation usually has very complicated form and looking for its solutions is usually a very difficult task. Theoretical methods reviewed in this paper to solve this equation are effective only for some special cases.
23p thuyliebe 08102018 16 0 Download

The method is an extension of the unified Kry lovBogoliubovMitropolskii method , which was initially developed for undarn ped , underclamped and overclamped cases of the second order ordinary different ia l equation. The methods also cover a special condition of the overdamped case in which the general solution is useless.
9p thienthanquydu 21102018 18 0 Download

Parametric vibration of the prismatic shaft with regard of physical and geometrical nonlinearity has been inves~igated in some publications (see for example). However, that vibration in the case of hereditary has not, to author's knowledge, been examined hitherto. In this paper it will be studied by means of the asymptotic method for high order systems.
7p bautroibinhyen211 28102018 27 0 Download

This paper is concerned with using the simplest model from developed general theory for modeling of particle migration in suspensions one of the most important and complicated aspects of particle liquid two phase flows, that has been observed and studied by many authors. For this purpose it is considered the motion of Newtonian fluid rotating rigid spherical particles two phase continuum with specialized nonlinear constitutive equations, when the particle and fluid have equal densities.
6p chikychiky 01112018 11 0 Download

The analytic expression for absorption power of a strong electromagnetic waves caused by confined electrons in quantum well is obtained in the case of electronoptical phonon scattering. Nonlinear optically detected electrophonon resonance (ODEPR) effect in a specific GaAs/AlAs quantum well with triangular potential is investigated.
10p danhnguyentuongvi 18122018 8 0 Download