Nonlinear

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Introduction To Nonlinear Differential And Integral Equations

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Author : Harold Thayer Davis
language : en
Publisher: Courier Corporation
Release Date : 1962-01-01

Introduction To Nonlinear Differential And Integral Equations written by Harold Thayer Davis and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962-01-01 with Mathematics categories.

Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.

The Elements Of Nonlinear Optics

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Author : Paul N. Butcher
language : en
Publisher: Cambridge University Press
Release Date : 1990

The Elements Of Nonlinear Optics written by Paul N. Butcher and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Science categories.

There has recently been a rapid growth of activity in nonlinear optics. Effects such as frequency doubling, stimulated Raman scattering, phase conjugation and solitons are of great interest both for their fundamental properties and their many important applications in science and engineering. It is mainly these applications - especially in telecommunications and information processing - that have stimulated the recent surge of activity. This book is a self contained account of the most important principles of nonlinear optics. Assuming only a familiarity with basic mathematics, the fundamentals of nonlinear optics are fully developed from basic concepts. The essential quantum mechanical apparatus is introduced and explained. In later chapters the underlying ideas are illustrated by discussing particular experimental configurations and materials. This book will be an invaluable introduction to the field for beginning graduates in physics or engineering, and will provide an excellent overview and reference work for active researchers in the field.

Nonlinear Chemical Kinetics

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Author :
language : en
Publisher: Royal Society of Chemistry
Release Date : 2002

Nonlinear Chemical Kinetics written by and has been published by Royal Society of Chemistry this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.

This discussion stimulates interactions between the nonlinear kinetic community and more traditional physical chemists.

Earthquake Response Of Symmetric And Asymmetric One Story Elastic Systems With Nonlinear Fluid Viscous Dampers Or Nonlinear Viscoelastic Dampers

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Author : Wenxiong Lin
language : en
Publisher:
Release Date : 2002

Earthquake Response Of Symmetric And Asymmetric One Story Elastic Systems With Nonlinear Fluid Viscous Dampers Or Nonlinear Viscoelastic Dampers written by Wenxiong Lin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Damping (Mechanics) categories.

The objective of this investigation is to improve the fundamental understanding of how and why nonlinear fluid viscous dampers (FVDs) and nonlinear viscoelastic (VE) dampers are effective in reducing structural response and to develop simplified analysis and design procedures for practical applications of these dampers. An innovative technique is developed for single-degree-of-freedom (SDOF) systems, which is then extended to asymmetric one-story, 2-degree-of-freedom systems. directly from the earthquake design spectrum for an asymmetric one-story system with nonlinear VE dampers.

Introduction To Nonlinear Dispersive Equations

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Author : Felipe Linares
language : en
Publisher: Springer
Release Date : 2014-12-15

Introduction To Nonlinear Dispersive Equations written by Felipe Linares and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-15 with Mathematics categories.

This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two key models, the Korteweg–de Vries equation and the nonlinear Schrödinger equation. A concise and self-contained treatment of background material (the Fourier transform, interpolation theory, Sobolev spaces, and the linear Schrödinger equation) prepares the reader to understand the main topics covered: the initial-value problem for the nonlinear Schrödinger equation and the generalized Korteweg–de Vries equation, properties of their solutions, and a survey of general classes of nonlinear dispersive equations of physical and mathematical significance. Each chapter ends with an expert account of recent developments and open problems, as well as exercises. The final chapter gives a detailed exposition of local well-posedness for the nonlinear Schrödinger equation, taking the reader to the forefront of recent research. The second edition of Introduction to Nonlinear Dispersive Equations builds upon the success of the first edition by the addition of updated material on the main topics, an expanded bibliography, and new exercises. Assuming only basic knowledge of complex analysis and integration theory, this book will enable graduate students and researchers to enter this actively developing field.

Nonlinear Regression

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Author : George A. F. Seber
language : en
Publisher: John Wiley & Sons
Release Date : 2005-02-25

Nonlinear Regression written by George A. F. Seber and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-25 with Mathematics categories.

WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. From the Reviews of Nonlinear Regression "A very good book and an important one in that it is likely to become a standard reference for all interested in nonlinear regression; and I would imagine that any statistician concerned with nonlinear regression would want a copy on his shelves." –The Statistician "Nonlinear Regression also includes a reference list of over 700 entries. The compilation of this material and cross-referencing of it is one of the most valuable aspects of the book. Nonlinear Regression can provide the researcher unfamiliar with a particular specialty area of nonlinear regression an introduction to that area of nonlinear regression and access to the appropriate references . . . Nonlinear Regression provides by far the broadest discussion of nonlinear regression models currently available and will be a valuable addition to the library of anyone interested in understanding and using such models including the statistical researcher." –Mathematical Reviews

Applications Of Nonlinear Dynamics

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Author : Visarath In
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-02-11

Applications Of Nonlinear Dynamics written by Visarath In and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-11 with Technology & Engineering categories.

The ?eld of applied nonlinear dynamics has attracted scientists and engineers across many different disciplines to develop innovative ideas and methods to study c- plex behavior exhibited by relatively simple systems. Examples include: population dynamics, ?uidization processes, applied optics, stochastic resonance, ?ocking and ?ightformations,lasers,andmechanicalandelectricaloscillators. Acommontheme among these and many other examples is the underlying universal laws of nonl- ear science that govern the behavior, in space and time, of a given system. These laws are universal in the sense that they transcend the model-speci?c features of a system and so they can be readily applied to explain and predict the behavior of a wide ranging phenomena, natural and arti?cial ones. Thus the emphasis in the past decades has been in explaining nonlinear phenomena with signi?cantly less att- tion paid to exploiting the rich behavior of nonlinear systems to design and fabricate new devices that can operate more ef?ciently. Recently, there has been a series of meetings on topics such as Experimental Chaos, Neural Coding, and Stochastic Resonance, which have brought together many researchers in the ?eld of nonlinear dynamics to discuss, mainly, theoretical ideas that may have the potential for further implementation. In contrast, the goal of the 2007 ICAND (International Conference on Applied Nonlinear Dynamics) was focused more sharply on the implementation of theoretical ideas into actual - vices and systems.

Nonlinear Problems Of Elasticity

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Author : Stuart Antman
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-24

Nonlinear Problems Of Elasticity written by Stuart Antman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-24 with Mathematics categories.

Enlarged, updated, and extensively revised, this second edition illuminates specific problems of nonlinear elasticity, emphasizing the role of nonlinear material response. Opening chapters discuss strings, rods, and shells, and applications of bifurcation theory and the calculus of variations to problems for these bodies. Subsequent chapters cover tensors, three-dimensional continuum mechanics, three-dimensional elasticity , general theories of rods and shells, and dynamical problems. Each chapter includes interesting, challenging, and tractable exercises.

An Essay On The Importance Of Being Nonlinear

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Author : Bruce J. West
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-13

An Essay On The Importance Of Being Nonlinear written by Bruce J. West and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-13 with Mathematics categories.

One of my favorite quotes is from a letter of Charles Darwin (1887): "I have long discovered that geologists never read each other's works, and that the only object in writing a book is proof of earnestness, and that you do not form your opinions without undergoing labour of some kind. " It is not clear if this private opinion of Darwin was one that he held to be absolutely true, or was one of those opinions that, as with most of us, coincides with our "bad days," but is replaced with a more optimistic view on our "good days. " I hold the sense of the statement to be true in general, but not with regard to scientists never reading each other's work. Even if that were true however, the present essay. would still have been written as a proof of earnestness. This essay outlines my personal view of how nonlinear mathematics may be of value in formulating models outside the physical sciences. This perspective has developed over a number of years during which time I have repeatedly been amazed at how an "accepted" model would fail to faithfully characterize the full range of avail able data because of its implicit or explicit dependence on linear concepts. This essay is intended to demonstrate how linear ideas have come to dominate and therefore limit a scientist's ability to understand any given class of phenomena.

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Author : 国立国会図書館 (Japan)
language : en
Publisher:
Release Date : 1900

written by 国立国会図書館 (Japan) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1900 with Science categories.