Tag Archives: Nonlinear

“Advanced Fluid Dynamics” ed. by Hyoung Woo Oh

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"Advanced Fluid Dynamics" ed. by Hyoung Woo Oh
InTeOpP | 2012 | ISBN: 9535102702 9789535102700 | 281 pages | PDF | 18 MB
This book is intended to serve as a reference text for presenting a broad range of topics on fluid dynamics to advanced scientists and researchers.
The chapters have been contributed by the prominent specialists in the field of fluid dynamics cover experimental and numerical fluid dynamics, aeroacoustics, multiphase flow analysis, convective instability, combustion, and turbulence modeling.

“Advanced Fluid Dynamics” ed. by Hyoung Woo Oh
Contents
Preface
1. An Experimental and Computational Study of the Fluid Dynamics of Dense Cooling Air-Mists
2. Direct Numerical Simulations of Compressible Vortex Flow Problems
3. Fluid Dynamics of Gas – Solid Fluidized Beds
4. Fuel Jet in Cross Flow – Experimental Study of Spray Characteristics
5. Influence of Horizontal Temperature Gradients on Convective Instabilities with Geophysical Interest
6. Internal Flows Driven by Wall-Normal Injection
7. Modelling of Turbulent Premixed and Partially Premixed Combustion
8. Multiscale Window Interaction and Localized Nonlinear Hydrodynamic Stability Analysis
9. Stability Investigation of Combustion Chambers with LES
10. Turbulent Boundary Layer Models: Theory and Applications
11. Unitary Qubit Lattice Gas Representation of 2D and 3D Quantum Turbulence
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Nonlinear Optical Crystals: A Complete Survey

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Nonlinear Optical Crystals: A Complete Survey
English | Physics, Optics | 9. February 2005 | ISBN-10: 0387220224 | 428 pages | pdf | 3 mb
Nonlinear Optical Crystals contains the most complete and up-to-date reference material on properties of nonlinear optical crystals including:
Traditional and specific applications

Nonlinear Optical Crystals: A Complete Survey
The mathematical formulas necessary for the calculation of the frequency conversion process

A survey of 63 nonlinear optical crystals containing more than 1500 different references with full titles

Recent applications of common and novel nonlinear materials, including quasi-phase matching

Special consideration for periodically-poled and self-frequency-doubling materials

Significant amount of crystallophysical, thermophysical, spectroscopic, electro-optic and magneto-optic information
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Non-Linear Instabilities in Plasmas and Hydrodynamics

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Non-Linear Instabilities in Plasmas and Hydrodynamics
English | Physics, Mathematics | November 1999 | ISBN-10: 0750304839 | 180 pages | Djvu | 1 mb
For the first time in a single book, Non-Linear Instabilities in Plasmas and Hydrodynamics presents the underlying physics of fast secondary instabilities.

Non-Linear Instabilities in Plasmas and Hydrodynamics
This exceptionally well-written, introductory book discusses the basic ideas of the physics of secondary or induced, nonlinear instabilities in wave-sustaining media. The authors, world-renowned experts in the field, have brought together the results of papers scattered throughout the literature to explain subjects as diverse as fluctuation chaos, wave-turbulent instabilities, vortex dynamos, beam-plasma interactions, plasma confinement, and the origins of typhoons in the Earth's atmosphere and magnetic fields in galaxies. Paving the way for new and exciting research in the future, this broad, interdisciplinary book enables a wide range of physicists to apply the concepts discussed to obtain new results in plasma physics, space physics, hydrodynamics, and geophysics.
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Nonlinear Waves in Elastic Crystals

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Nonlinear Waves in Elastic Crystals
English | Physics, Mathematics | January 2000 | ISBN-10: 0198534841 | 320 pages | Djvu | 3.2 mb
The mathematical modelling of changing structures in materials is of increasing importance to industry where applications of the theory are found in subjects as diverse as aerospace and medicine.

Nonlinear Waves in Elastic Crystals
This book deals with aspects of the nonlinear dynamics of deformable ordered solids (known as elastic crystals) where the nonlinear effects combine or compete with each other. Physical and mathematical models are discused and computational aspects are also included. Different models are considered – on discrete as well as continuum scales – applying heat, electricity, or magnetism to the crystal structure and these are analysed using the equations of rational mechanics. In this way the student is introduced to the important equations of nonlinear science that describe shock waves, solitons and chaos and also the non-exactly integrable systems or partial differential equations. A large number of problems and examples are included, many taken from recent research and involving both one-dimensional and two-dimensional problems as well as some coupled degress of freedom.
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Nonlinear Regression with R (Use R!)

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Nonlinear Regression with R (Use R!) By Christian Ritz, Jens Carl Streibig
2008 | 150 Pages | ISBN: 0387096159 | PDF | 4 MB

Nonlinear Regression with R (Use R!)
– Coherent and unified treatment of nonlinear regression with R.
– Example-based approach.
– Wide area of application.
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How Brains Make Up Their Minds

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How Brains Make Up Their Minds by Walter J. Freeman
English | Feb 15, 2001 | ISBN: 0231120087 | 146 Pages | PDF | 27 MB
I think, therefore I am. The legendary pronouncement of philosopher René Descartes lingers as accepted wisdom in the Western world nearly four centuries after its author's death. But does thought really come first? Who actually runs the show: we, our thoughts, or the neurons firing within our brains?

How Brains Make Up Their Minds
Walter J. Freeman explores how we control our behavior and make sense of the world around us. Avoiding determinism both in sociobiology, which proposes that persons' genes control their brains' functioning, and in neuroscience, which posits that their brains' disposition is molded by chemistry and environmental forces, Freeman charts a new course–one that gives individuals due credit and responsibility for their actions.

Drawing upon his five decades of research in neuroscience, Freeman utilizes the latest advances in his field as well as perspectives from disciplines as diverse as mathematics, psychology, and philosophy to explicate how different human brains act in their chosen diverse ways. He clarifies the implications of brain imaging, by which neural activity can be observed during the course of normal movements, and shows how nonlinear dynamics reveals order within the fecund chaos of brain function.
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Wave Motion

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Wave Motion By J. Billingham, A. C. King
2006 | 476 Pages | ISBN: 0521632579 , 0521634504 | PDF | 12 MB

Wave Motion
Waves are a ubiquitous and important feature of the physical world, and throughout history it has been a major challenge to understand them. They can propagate on the surfaces of solids and of fluids; chemical waves control the beating of your heart; traffic jams move in waves down lanes crowded with vehicles. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, thus making the book suitable for beginning graduate courses. The authors assume some familiarity with partial differential equations, integral transforms and asymptotic expansions as well as an acquaintance with fluid mechanics, elasticity and electromagnetism. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to teachers.
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Game Theory: An Introduction

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E. N. Barron, "Game Theory: An Introduction"
2008 | ISBN: 0470171324 | 440 pages | PDF | 6 MB

Game Theory: An Introduction
Game theory arises in almost every fact of human and inhuman interaction since oftentimes during these communications objectives are opposed or cooperation is viewed as an option. From economics and finance to biology and computer science, researchers and practitioners are often put in complex decision-making scenarios, whether they are interacting with each other or working with evolving technology and artificial intelligence. Acknowledging the role of mathematics in making logical and advantageous decisions, uses modern software applications to create, analyze, and implement effective decision-making models.

While most books on modern game theory are either too abstract or too applied, this book provides a balanced treatment of the subject that is both conceptual and hands-on. Game Theory introduces readers to the basic theories behind games and presents real-world examples from various fields of study such as economics, political science, military science, finance, biological science as well as general game playing. A unique feature of this book is the use of Maple to find the values and strategies of games, and in addition, it aids in the implementation of algorithms for the solution or visualization of game concepts. Maple is also utilized to facilitate a visual learning environment of game theory and acts as the primary tool for the calculation of complex non-cooperative and cooperative games.

Important game theory topics are presented within the following five main areas of coverage:

– Two-person zero sum matrix games
– Nonzero sum games and the reduction to nonlinear programming
– Cooperative games, including discussion of both the Nucleolus concept and the Shapley value
– Bargaining, including threat strategies
– Evolutionary stable strategies and population games

Although some mathematical competence is assumed, appendices are provided to act as a refresher of the basic concepts of linear algebra, probability, and statistics. Exercises are included at the end of each section along with algorithms for the solution of the games to help readers master the presented information. Also, explicit Maple and Mathematica® commands are included in the book and are available as worksheets via the book's related Web site. The use of this software allows readers to solve many more advanced and interesting games without spending time on the theory of linear and nonlinear programming or performing other complex calculations.

With extensive examples illustrating game theory's wide range of relevance, this classroom-tested book is ideal for game theory courses in mathematics, engineering, operations research, computer science, and economics at the upper-undergraduate level. It is also an ideal companion for anyone who is interested in the applications of game theory.
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The Duffing Equation: Nonlinear Oscillators and Their Behaviour

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Dr Ivana Kovacic and Michael J. Brennan, "The Duffing Equation: Nonlinear Oscillators and Their Behaviour"
English | ISBN: 0470715499 | 2011 | 386 pages | PDF | 16 MB

The Duffing Equation: Nonlinear Oscillators and Their Behaviour
The Duffing Equation: Nonlinear Oscillators and their Behaviour brings together the results of a wealth of disseminated research literature on the Duffing equation, a key engineering model with a vast number of applications in science and engineering, summarizing the findings of this research. Each chapter is written by an expert contributor in the field of nonlinear dynamics and addresses a different form of the equation, relating it to various oscillatory problems and clearly linking the problem with the mathematics that describe it. The editors and the contributors explain the mathematical techniques required to study nonlinear dynamics, helping the reader with little mathematical background to understand the text. The Duffing Equation provides a reference text for postgraduate and students and researchers of mechanical engineering and vibration / nonlinear dynamics as well as a useful tool for practising mechanical engineers. Includes a chapter devoted to historical background on Georg Duffing and the equation that was named after him. Includes a chapter solely devoted to practical examples of systems whose dynamic behaviour is described by the Duffing equation. Contains a comprehensive treatment of the various forms of the Duffing equation. Uses experimental, analytical and numerical methods as well as concepts of nonlinear dynamics to treat the physical systems in a unified way.
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