Introduction to Nonlinear Differential and Integral Equations

Author: Harold Thayer Davis

Publisher: Courier Corporation

ISBN: 9780486609713

Category: Mathematics

Page: 566

View: 5801

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.

Instabilities, Chaos and Turbulence

An Introduction to Nonlinear Dynamics and Complex Systems

Author: Paul Manneville

Publisher: Imperial College Press

ISBN: 9781860944918

Category: Science

Page: 391

View: 4651

This book is an introduction to the application of nonlinear dynamics to problems of stability, chaos and turbulence arising in continuous media and their connection to dynamical systems. With an emphasis on the understanding of basic concepts, it should be of interest to nearly any science-oriented undergraduate and potentially to anyone who wants to learn about recent advances in the field of applied nonlinear dynamics. Technicalities are, however, not completely avoided. They are instead explained as simply as possible using heuristic arguments and specific worked examples.

Nonlinear Systems

Author: P. G. Drazin

Publisher: Cambridge University Press

ISBN: 9780521406680

Category: Mathematics

Page: 317

View: 6106

A coherent treatment of nonlinear systems covering chaos, fractals, and bifurcation, as well as equilibrium, stability, and nonlinear oscillations. The systems treated are mostly of difference and differential equations. The author introduces the mathematical properties of nonlinear systems as an integrated theory, rather than simply presenting isolated fashionable topics. The topics are discussed in as concrete a way as possible, worked examples and problems are used to motivate and illustrate the general principles. More advanced parts of the text are denoted by asterisks, thus making it ideally suited to both undergraduate and graduate courses.

Adaptive Nonlinear System Identification

The Volterra and Wiener Model Approaches

Author: Tokunbo Ogunfunmi

Publisher: Springer Science & Business Media

ISBN: 0387686304

Category: Science

Page: 232

View: 7819

Focuses on System Identification applications of the adaptive methods presented. but which can also be applied to other applications of adaptive nonlinear processes. Covers recent research results in the area of adaptive nonlinear system identification from the authors and other researchers in the field.

Design Analysis

Mathematical Modeling of Nonlinear Systems

Author: David E. Thompson

Publisher: Cambridge University Press

ISBN: 9780521621700

Category: Mathematics

Page: 275

View: 3635

A 1999 text for graduate students and practising engineers, introducing mathematical modeling of engineering systems.

Nonlinear System Identification

From Classical Approaches to Neural Networks and Fuzzy Models

Author: Oliver Nelles

Publisher: Springer Science & Business Media

ISBN: 3662043238

Category: Technology & Engineering

Page: 786

View: 2090

Written from an engineering point of view, this book covers the most common and important approaches for the identification of nonlinear static and dynamic systems. The book also provides the reader with the necessary background on optimization techniques, making it fully self-contained. The new edition includes exercises.

Applied Mathematics in Hydraulic Engineering

An Introduction to Nonlinear Differential Equations

Author: Kazumasa Mizumura

Publisher: World Scientific

ISBN: 9814299553

Category: Technology & Engineering

Page: 424

View: 5533

This is a teaching guide and reference to treating nonlinear mathematical problems in hydraulic, hydrologic and coastal engineering--

Nonlinear Ordinary Differential Equations

An Introduction for Scientists and Engineers

Author: Dominic Jordan,Peter Smith

Publisher: Oxford University Press on Demand

ISBN: 0199208247

Category: Mathematics

Page: 531

View: 9776

Thoroughly updated and expanded 4th edition of the classic text, including numerous worked examples, diagrams and exercises. An ideal resource for students and lecturers in engineering, mathematics and the sciences it is published alongside a separate Problems and Solutions Sourcebook containing over 500 problems and fully-worked solutions.

An introduction to nonlinear partial differential equations

Author: John David Logan

Publisher: LibreDigital

ISBN: 9780470225950

Category: Mathematics

Page: 397

View: 5308

An Introduction to Nonlinear Partial Differential Equations is a textbook on nonlinear partial differential equations. It is technique oriented with an emphasis on applications and is designed to build a foundation for studying advanced treatises in the field. The Second Edition features an updated bibliography as well as an increase in the number of exercises. All software references have been updated with the latest version of [email protected], the corresponding graphics have also been updated using [email protected] An increased focus on hydrogeology....

Neural Network Control of Nonlinear Discrete-Time Systems

Author: Jagannathan Sarangapani

Publisher: CRC Press

ISBN: 1420015451

Category: Technology & Engineering

Page: 624

View: 3501

Intelligent systems are a hallmark of modern feedback control systems. But as these systems mature, we have come to expect higher levels of performance in speed and accuracy in the face of severe nonlinearities, disturbances, unforeseen dynamics, and unstructured uncertainties. Artificial neural networks offer a combination of adaptability, parallel processing, and learning capabilities that outperform other intelligent control methods in more complex systems. Borrowing from Biology Examining neurocontroller design in discrete-time for the first time, Neural Network Control of Nonlinear Discrete-Time Systems presents powerful modern control techniques based on the parallelism and adaptive capabilities of biological nervous systems. At every step, the author derives rigorous stability proofs and presents simulation examples to demonstrate the concepts. Progressive Development After an introduction to neural networks, dynamical systems, control of nonlinear systems, and feedback linearization, the book builds systematically from actuator nonlinearities and strict feedback in nonlinear systems to nonstrict feedback, system identification, model reference adaptive control, and novel optimal control using the Hamilton-Jacobi-Bellman formulation. The author concludes by developing a framework for implementing intelligent control in actual industrial systems using embedded hardware. Neural Network Control of Nonlinear Discrete-Time Systems fosters an understanding of neural network controllers and explains how to build them using detailed derivations, stability analysis, and computer simulations.

Nonlinear Dynamics

A Primer

Author: Alfredo Medio,Marji Lines

Publisher: Cambridge University Press

ISBN: 9780521558747

Category: Business & Economics

Page: 300

View: 1757

An advanced undergraduate and graduate textbook on the theory of nonlinear dynamical systems.

Active Disturbance Rejection Control for Nonlinear Systems

An Introduction

Author: Bao-Zhu Guo,Zhi-Liang Zhao

Publisher: John Wiley & Sons

ISBN: 1119239923

Category: Science

Page: 368

View: 6896

A concise, in-depth introduction to active disturbance rejection control theory for nonlinear systems, with numerical simulations and clearly worked out equations Provides the fundamental, theoretical foundation for applications of active disturbance rejection control Features numerical simulations and clearly worked out equations Highlights the advantages of active disturbance rejection control, including small overshooting, fast convergence, and energy savings

An Introduction to Nonlinear Oscillations

Author: Ronald E. Mickens

Publisher: CUP Archive

ISBN: 9780521222082

Category: Mathematics

Page: 224

View: 6825

An introductory account of the equations describing nonlinear oscillations & the methods for solving them.

Introduction to Nonlinear Physics

Author: Lui Lam

Publisher: Springer Science & Business Media

ISBN: 9780387406145

Category: Science

Page: 417

View: 7994

This textbook provides an introduction to the new science of nonlinear physics for advanced undergraduates, beginning graduate students, and researchers entering the field. The chapters, by pioneers and experts in the field, share a unified perspective. Nonlinear science developed out of the increasing ability to investigate and analyze systems for which effects are not simply linear functions of their causes; it is associated with such well-known code words as chaos, fractals, pattern formation, solitons, cellular automata, and complex systems. Nonlinear phenomena are important in many fields, including dynamical systems, fluid dynamics, materials science, statistical physics, and paritcel physics. The general principles developed in this text are applicable in a wide variety of fields in the natural and social sciences. The book will thus be of interest not only to physicists, but also to engineers, chemists, geologists, biologists, economists, and others interested in nonlinear phenomena. Examples and exercises complement the text, and extensive references provide a guide to research in the field.

Nonlinear and Optimal Control Systems

Author: Thomas L. Vincent,Walter J. Grantham

Publisher: John Wiley & Sons

ISBN: 9780471042358

Category: Science

Page: 559

View: 1976

Nonlinear dynamical systems; Nonlinear control systems; Nonlinear optimization; Lyapunov stability; Lyapunov control systems design; Optimal control systems; Optimal control design; Differential games; References; Index.

Introduction to Nonlinear Finite Element Analysis

Author: Nam-Ho Kim

Publisher: Springer Science & Business Media

ISBN: 1441917462

Category: Technology & Engineering

Page: 430

View: 7864

This book introduces the key concepts of nonlinear finite element analysis procedures. The book explains the fundamental theories of the field and provides instructions on how to apply the concepts to solving practical engineering problems. Instead of covering many nonlinear problems, the book focuses on three representative problems: nonlinear elasticity, elastoplasticity, and contact problems. The book is written independent of any particular software, but tutorials and examples using four commercial programs are included as appendices: ANSYS, NASTRAN, ABAQUS, and MATLAB. In particular, the MATLAB program includes all source codes so that students can develop their own material models, or different algorithms. Please visit the author's website for supplemental material, including PowerPoint presentations and MATLAB codes, at

Introduction to Non-linear Algebra

Author: Valeri? Valer?evich Dolotin,A. Morozov,Al?bert Dmitrievich Morozov

Publisher: World Scientific

ISBN: 9812708006

Category: Mathematics

Page: 269

View: 2336

Literaturverz. S. 267 - 269

Introduction to Non-linear Mechanics

Author: Nikolai Mitrofanovich Krylov,Nikolai Nikolaevich Bogoliubov

Publisher: Princeton University Press

ISBN: 9780691079851

Category: Mathematics

Page: 106

View: 1421

The description for this book, Introduction to Non-Linear Mechanics. (AM-11), Volume 11, will be forthcoming.

Introduction to Experimental Nonlinear Dynamics

A Case Study in Mechanical Vibration

Author: Lawrence N. Virgin

Publisher: Cambridge University Press

ISBN: 9780521779319

Category: Science

Page: 256

View: 8230

A case study in mechanical vibration introduces the subject of nonlinear dynamics and chaos.

Introduction to Nonlinear Aeroelasticity

Author: Grigorios Dimitriadis

Publisher: John Wiley & Sons

ISBN: 1118613473

Category: Technology & Engineering

Page: 592

View: 333

Introduces the latest developments and technologies in the area of nonlinear aeroelasticity Nonlinear aeroelasticity has become an increasingly popular research area in recent years. There have been many driving forces behind this development, increasingly flexible structures, nonlinear control laws, materials with nonlinear characteristics, etc. Introduction to Nonlinear Aeroelasticity covers the theoretical basics in nonlinear aeroelasticity and applies the theory to practical problems. As nonlinear aeroelasticity is a combined topic, necessitating expertise from different areas, the book introduces methodologies from a variety of disciplines such as nonlinear dynamics, bifurcation analysis, unsteady aerodynamics, non-smooth systems and others. The emphasis throughout is on the practical application of the theories and methods, so as to enable the reader to apply their newly acquired knowledge. Key features: Covers the major topics in nonlinear aeroelasticity, from the galloping of cables to supersonic panel flutter. Discusses nonlinear dynamics, bifurcation analysis, numerical continuation, unsteady aerodynamics and non-smooth systems. Considers the practical application of the theories and methods. Covers nonlinear dynamics, bifurcation analysis and numerical methods. Accompanied by a website hosting Matlab code. Introduction to Nonlinear Aeroelasticity is a comprehensive reference for researchers and workers in industry and is also a useful introduction to the subject for graduate and undergraduate students across engineering disciplines.