Nonlinearity

This volume covers a diverse collection of topics dealing with some of the fundamental concepts and applications embodied in the study of nonlinear dynamics. Each of the 15 chapters contained in this compendium generally fit into one of five topical areas: physics applications, nonlinear oscillators, electrical and mechanical systems, biological and behavioral applications or random processes. The authors of these chapters have contributed a stimulating cross section of new results, which provide a fertile spectrum of ideas that will inspire both seasoned researches and students....

374p 123859674 30-06-2012 49 17   Download

All practical systems contain nonlinear dynamics. Control system development for these systems has traditionally been based on linearized system dynamics in conjunction with linear control techniques. Sometimes it is possible to describe the operation of systems by a linear model around its operating points. Linearized system can provide approximate behavior of the system. But in analyzing the overall system behavior, the resulting system model is inadequate or inaccurate. Moreover, the stability of the system cannot be guaranteed.

0p wqwqwqwqwq 06-07-2012 59 15   Download

Rapid development of optoelectronic devices and laser techniques poses an important task of creating and studying, from one side, the structures capable of effectively converting, modulating, and recording optical data in a wide range of radiation energy densities and frequencies, from another side, the new schemes and approaches capable to activate and simulate the modern features. It is well known that nonlinear optical phenomena and nonlinear optical materials have the promising place to resolve these complicated technical tasks....

236p qsczaxewd 25-09-2012 35 10   Download

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 29-11-2012 25 4   Download

This article is concerned with local well-posedness of the Cauchy problem for second order quasilinear hyperbolic equations with rough initial data. The new results obtained here are sharp in low dimension. 1. Introduction 1.1. The results. We consider in this paper second order, nonlinear hyperbolic equations of the form (1.1) gij (u) ∂i ∂j u = q ij (u) ∂i u ∂j u on R × Rn , with Cauchy data prescribed at time 0, (1.2) u(0, x) = u0 (x) , ∂0 u(0, x) = u1 (x) .

77p noel_noel 17-01-2013 28 4   Download

This paper focuses on mining the hyponymy (or is-a) relation from large-scale, open-domain web documents. A nonlinear probabilistic model is exploited to model the correlation between sentences in the aggregation of pattern matching results. Based on the model, we design a set of evidence combination and propagation algorithms.

10p hongdo_1 12-04-2013 20 2   Download

This lecture will teach you how to fit nonlinear functions by using bases functions and how to control model complexity. The goal is for you to: Learn how to derive ridge regression; understand the trade-off of fitting the data and regularizing it; Learn polynomial regression; understand that, if basis functions are given, the problem of learning the parameters is still linear; learn cross-validation; understand model complexity and generalization.

28p allbymyself_08 22-02-2016 4 2   Download

The aim of the dissertation is study and propose a new algorithm for solving the optimal problem in nonlinear model predictive control MIMO system.

28p change01 05-05-2016 5 2   Download

This chapter presents the following content: Linear versus nonlinear adjustment, simple extensions of the ARMA model, testing for nonlinearity, threshold autoregressive models, extensions of the TAR model, three threshold models, smooth transition models,...

62p nomoney17 04-07-2017 36 1   Download

The ANSYS Mechanical program supports a large library of beam and shell elements with applicability: composites, buckling and collapse analysis, dynamics analysis and nonlinear applications.

0p batacdat 22-12-2009 321 180   Download

The fifth edition of this classic book continues its excellence in teaching numerical analysis and techniques. Interesting and timely applications motivate an understanding of methods and analysis of results. Suitable for students with mathematics and engineering backgrounds, the breadth of topics (partial differential equations, systems of nonlinear equations, and matrix algebra), provide comprehensive and flexible coverage of all aspects of all numerical analysis.

772p chipmoon 19-07-2012 112 40   Download

The Nonlinear Optical Susceptibility Phi tuyến quang học là nghiên cứu các hiện tượng xảy ra do hậu quả của sửa đổi, bổ sung các tính chất quang học của một hệ thống vật chất bởi sự hiện diện của ánh sáng. Thông thường, chỉ có ánh sáng laser cường độ đủ mạnh để thay đổi tính chất quang học của một hệ thống vật chất. Sự khởi đầu của lĩnh vực phi tuyến quang học thường được dùng để phát hiện ra hài hòa thế hệ thứ hai Franken et al.

81p hoatuongvihong 06-11-2011 68 24   Download

Wave-Equation Description of Nonlinear Optical Interactions Các phương trình sóng cho truyền thông quang học phi tuyến Chúng ta đã thấy trong chương cuối cùng như thế nào phi tuyến trong phản ứng của một hệ thống vật chất vào một lĩnh vực laser cường độ cao có thể gây ra sự phân cực của môi trường để phát triển các thành phần tần số mới không có mặt trong lĩnh vực bức xạ nhiệt.

65p hoatuongvihong 06-11-2011 73 20   Download

Most of the material in this volume is new. The first three chapters deal with three important fiber-optic components--fiber-based gratings, couplers, and interferometers--that serve as the building blocks of lightwave technology. In view of the enormous impact of rare-earth-doped fibers, amplifiers and lasers made by using such fibers are covered in Chapters 4 and 5. The last three chapters describe important applications of nonlinear fiber optics and are devoted to pulse-compression techniques, fiber-optic communication systems, and soliton-based transmission schemes....

472p anplixfz 22-01-2013 42 16   Download

LEARNING STOCHASTIC NONLINEAR DYNAMICS Since the advent of cybernetics, dynamical systems have been an important modeling tool in fields ranging from engineering to the physical and social sciences. Most realistic dynamical systems models have two essential features. First, they are stochastic – the observed outputs are a noisy function of the inputs, and the dynamics itself may be driven by some unobserved noise process.

46p duongph05 07-06-2010 63 12   Download

Quantum-Mechanical Theory of the Nonlinear Optical Susceptibility Trong chương này, chúng tôi sử dụng pháp luật của cơ học lượng tử để lấy được biểu hiện rõ ràng cho tính nhạy cảm quang học phi tuyến.

72p hoatuongvihong 06-11-2011 38 12   Download

Nonlinear Analysis of Bridge Structures 36.1 36.2 36.3 Introduction Analysis Classification and General Guidelines Classifications • General Guidelines 36 Geometrical Nonlinearity Formulations Two-Dimensional Members • Three-Dimensional Members 36.4 Material Nonlinearity Formulations Structural Concrete • Structural and Reinforcement Steel 36.5 Nonlinear Section Analysis Basic Assumptions and Formulations • Modeling and Solution Procedures • Yield Surface Equations 36.

36p naunho 27-12-2010 69 11   Download

Molecular Origin of the Nonlinear Optical Response Trong chương 3, chúng tôi trình bày một lý thuyết chung của cơ học lượng tử nhạy cảm quang học phi tuyến. Tính toán này dựa trên lý thuyết nhiễu loạn phụ thuộc thời gian và dẫn đến dự đoán rõ ràng cho sự phụ thuộc tần số hoàn toàn của các tuyến tính và phi tuyến tính nhạy cảm quang. Thật không may, tuy nhiên, những biểu hiện cơ học lượng tử thường quá phức tạp để được sử dụng cho các tính toán thực tế.

23p hoatuongvihong 06-11-2011 52 11   Download

This chapter starts by reviewing some of the early research efforts in independent component analysis (ICA), especially the technique based on nonlinear decorrelation, that was successfully used by Jutten, H´ rault, and Ans to solve the first ICA problems. e Today, this work is mainly of historical interest, because there exist several more efficient algorithms for ICA. Nonlinear decorrelation can be seen as an extension of second-order methods such as whitening and principal component analysis (PCA)....

24p duongph05 09-06-2010 85 10   Download

It has been a great pleasure for me to have prepared the latest edition of my book on nonlinear optics. My intrigue in the subject matter of this book is as strong as it was when the first edition was published in 1992. The principal changes present in the third edition are as follows: (1) The book has been entirely rewritten using the SI system of units. I personally prefer the elegance of the gaussian system of units, which was used in the first two editions, but I realize that most readers would prefer the SI system, and the change was made for this reason. (2) In...

595p kuckucucu 15-05-2012 59 10   Download