Download or read online books in PDF, EPUB and Mobi Format. Click Download or Read Online button to get book now. This site is like a library, Use search box in the widget to get ebook that you want.

Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos Author Steven H. Strogatz
ISBN-10 9780813349114
Release 2014-08-26
Pages 500
Download Link Click Here

This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors. A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with mathematical theory. In the twenty years since the first edition of this book appeared, the ideas and techniques of nonlinear dynamics and chaos have found application to such exciting new fields as systems biology, evolutionary game theory, and sociophysics. This second edition includes new exercises on these cutting-edge developments, on topics as varied as the curiosities of visual perception and the tumultuous love dynamics in Gone With the Wind.



Chaos and Nonlinear Dynamics

Chaos and Nonlinear Dynamics Author Robert C. Hilborn
ISBN-10 0198507232
Release 2000
Pages 650
Download Link Click Here

This is a comprehensive introduction to the exciting scientific field of nonlinear dynamics for students, scientists, and engineers, and requires only minimal prerequisites in physics and mathematics. The book treats all the important areas in the field and provides an extensive and up-to-date bibliography of applications in all fields of science, social science, economics, and even the arts.



Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos Author J. M. T. Thompson
ISBN-10 0471876453
Release 2002
Pages 437
Download Link Click Here

Nonlinear dynamics and chaos involves the study of apparent random happenings within a system or process. The subject has wide applications within mathematics, engineering, physics and other physical sciences. Since the bestselling first edition was published, there has been a lot of new research conducted in the area of nonlinear dynamics and chaos. * Expands on the bestselling, highly regarded first edition * A new chapter which will cover the new research in the area since first edition * Glossary of terms and a bibliography have been added * All figures and illustrations will be 'modernised' * Comprehensive and systematic account of nonlinear dynamics and chaos, still a fast-growing area of applied mathematics * Highly illustrated * Excellent introductory text, can be used for an advanced undergraduate/graduate course text



Student Solutions Manual for Nonlinear Dynamics and Chaos 2nd edition

Student Solutions Manual for Nonlinear Dynamics and Chaos  2nd edition Author Mitchal Dichter
ISBN-10 9780429972638
Release 2018-05-15
Pages 404
Download Link Click Here

This official Student Solutions Manual includes solutions to the odd-numbered exercises featured in the second edition of Steven Strogatz's classic text Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. The textbook and accompanying Student Solutions Manual are aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. Complete with graphs and worked-out solutions, this manual demonstrates techniques for students to analyze differential equations, bifurcations, chaos, fractals, and other subjects Strogatz explores in his popular book.



Nonlinear Dynamics and Chaos in Agricultural Systems

Nonlinear Dynamics and Chaos in Agricultural Systems Author Kenshi Sakai
ISBN-10 0444506462
Release 2001
Pages 204
Download Link Click Here

This book provides an introduction to the analysis of chaos and chaos theory as it relates to agricultural science. With clear explanations of chaos theory and principles, the first part of the book offers some basic facts, the fundamental terminology, and the concepts of deterministic chaos. The second part of this volume contains rich applications of the theory as applied to real agricultural systems. Applications include a wide area such as alternate bearing in tree crops, weed control and tillage, nonlinear vibrations in agricultural tractors, and piglet pricing analysis. Readers will find useful tools for calculating the order, rules and theory behind complex phenomena observed in arable land.



Introduction to Applied Nonlinear Dynamical Systems and Chaos

Introduction to Applied Nonlinear Dynamical Systems and Chaos Author Stephen Wiggins
ISBN-10 9780387217499
Release 2006-04-18
Pages 844
Download Link Click Here

This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms. From the reviews: "Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte für Mathematik



Nonlinear Dynamics and Chaos 2nd ed SET with Student Solutions Manual

Nonlinear Dynamics and Chaos  2nd ed  SET with Student Solutions Manual Author Steven H. Strogatz
ISBN-10 0813350840
Release 2016-08-23
Pages 932
Download Link Click Here

Steven H. Strogatz's Nonlinear Dynamics and Chaos, second edition, is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors. The Student Solutions Manual, by Mitchal Dichter, includes solutions to the odd-numbered exercises featured in Nonlinear Dynamics and Chaos, second edition. Complete with graphs and worked-out solutions, the Student Solutions Manual demonstrates techniques for students to analyze differential equations, bifurcations, chaos, fractals, and other subjects explored in Strogatz's popular book.



Nonlinear Dynamics and Chaos in Semiconductors

Nonlinear Dynamics and Chaos in Semiconductors Author K Aoki
ISBN-10 9781420033847
Release 2000-12-07
Pages 580
Download Link Click Here

The field of nonlinear dynamics and low-dimensional chaos has developed rapidly over the past twenty years. The principal advances have been in theoretical aspects but more recent applications in a wide variety of the sciences have been made. Nonlinear Dynamics and Chaos in Semiconductors is the first book to concentrate on specific physical and experimental situations in semiconductors as well as examine how to use chaos theory to explain semiconductor phenomena. Written by a well-respected researcher of chaos in semiconductors, Nonlinear Dynamics and Chaos in Semiconductors provides a rich and detailed account of progress in research on nonlinear effects in semiconductor physics. Discussing both theory and experiment, the author shows how this powerful combination has lead to real progress with difficult nonlinear problems in this technologically important field. Nonlinear carrier dynamics, caused by low-temperature impact ionization avalanche of impurities in extrinsic semiconductors, and the emergence of intractable chaos are treated in detail. The book explores impact ionization models, linear stability analysis, bifurcation theory, fractal dimensions, and various analytical methods in chaos theory. It also describes spatial and spatiotemporal evolution of the current density filament formed by the impact ionization avalanche.



Nonlinear Dynamics Chaos and Instability

Nonlinear Dynamics  Chaos  and Instability Author William A. Brock
ISBN-10 0262023296
Release 1991
Pages 328
Download Link Click Here

Brock, Hsieh, and LeBaron show how the principles of chaos theory can be applied tosuch areas of economics and finance as the changing structure of stock returns and nonlinearity inforeign exchange.



Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities

Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities Author Marian Wiercigroch
ISBN-10 9810229275
Release 2000
Pages 444
Download Link Click Here

Annotation Consisting primarily of contributions written by engineers from Europe, Asia, and the US, this volume provides a general methodology for describing, solving, and analyzing discontinuous systems. The focus is on mechanical engineering problems where clearances, piecewise stiffness, intermittent contact, variable friction, or other forms of discontinuity occur. Practical applications include vibration absorbers, percussive drilling of hard materials, and dynamics of metal cutting. Of likely interest to new and experienced researchers working in the field of applied mathematics and physics, mechanical and civil engineering, and manufacturing. Lacks a subject index. Annotation copyrighted by Book News, Inc., Portland, OR.



Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos Author J Hogan
ISBN-10 0750308621
Release 2002-08-01
Pages 376
Download Link Click Here

Nonlinear dynamics has been successful in explaining complicated phenomena in well-defined low-dimensional systems. Now it is time to focus on real-life problems that are high-dimensional or ill-defined, for example, due to delay, spatial extent, stochasticity, or the limited nature of available data. How can one understand the dynamics of such systems? Written by international experts, Nonlinear Dynamics and Chaos: Where Do We Go from Here? assesses what the future holds for dynamics and chaos. The chapters address one or more of the broad and interconnected main themes: neural and biological systems, spatially extended systems, and experimentation in the physical sciences. The contributors offer suggestions as to what they see as the way forward, often in the form of open questions for future research.



Applications of Chaos and Nonlinear Dynamics in Science and Engineering

Applications of Chaos and Nonlinear Dynamics in Science and Engineering  Author Santo Banerjee
ISBN-10 9783319170374
Release 2015-05-04
Pages 304
Download Link Click Here

Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. his fourth volume concentrates on reviewing further relevant contemporary applications of chaotic and nonlinear dynamics as they apply to the various cuttingedge branches of science and engineering. This encompasses, but is not limited to, topics such as synchronization in complex networks and chaotic circuits, time series analysis, ecological and biological patterns, stochastic control theory and vibrations in mechanical systems. Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications.



Nonlinear Dynamics and Quantum Chaos

Nonlinear Dynamics and Quantum Chaos Author Sandro Wimberger
ISBN-10 9783319063430
Release 2014-05-13
Pages 206
Download Link Click Here

The field of nonlinear dynamics and chaos has grown very much over the last few decades and is becoming more and more relevant in different disciplines. This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. It provides a thorough and modern introduction to the concepts of Hamiltonian dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It covers a wide range of topics usually not found in similar books. Motivations of the respective subjects and a clear presentation eases the understanding. The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University. It contains exercises and worked examples, which makes it ideal for an introductory course for students as well as for researchers starting to work in the field.



Nonlinear Dynamics

Nonlinear Dynamics Author Muthusamy Lakshmanan
ISBN-10 9783642556883
Release 2012-12-06
Pages 620
Download Link Click Here

This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.



Chaos in Dynamical Systems

Chaos in Dynamical Systems Author Edward Ott
ISBN-10 0521010845
Release 2002-08-22
Pages 478
Download Link Click Here

New edition of the best-selling graduate textbook on chaos for scientists and engineers.



Problems and Solutions

Problems and Solutions Author Willi-Hans Steeb
ISBN-10 9789813109940
Release 2016-03-02
Pages 252
Download Link Click Here

This book presents a collection of problems for nonlinear dynamics, chaos theory and fractals. Besides the solved problems, supplementary problems are also added. Each chapter contains an introduction with suitable definitions and explanations to tackle the problems. The material is self-contained, and the topics range in difficulty from elementary to advanced. While students can learn important principles and strategies required for problem solving, lecturers will also find this text useful, either as a supplement or text, since concepts and techniques are developed in the problems.



The Illustrated Dictionary of Nonlinear Dynamics and Chaos

The Illustrated Dictionary of Nonlinear Dynamics and Chaos Author Tomasz Kapitaniak
ISBN-10 0471983233
Release 1999-03-03
Pages 267
Download Link Click Here

The study of nonlinear dynamics is one of the most active fields in modern science. It reaches across the whole range of scientific study, and is applied in fields as diverse as physics, engineering, biology, economics and medicine. However, the mathematical language used to describe nonlinear dynamics, and the proliferation of new terminology, can make the use of nonlinear dynamics a daunting task to the non-specialist. In addition,the simultaneous growth in the use of nonlinear dynamics across different fields, and the cross-fertilization of ideas from different disciplines, mean that names and methods used and developed in one field may be altered when 're-discovered' in a different context, making understanding the literature a difficult and time-consuming task. The Illustrated Dictionary of Nonlinear Dynamics and Chaos addresses these problems. It presents, in an alphabetical format, the key terms, theorems and equations which arise in the study of nonlinear dynamics. New mathematical ideas are described and explained with examples and, where appropriate, illustrations are included to aid clarification and understanding. For some entries, the descriptions are self-contained, but should more detail be required, references are included for further reading. Where alternative terms are used for a single concept, an entry is placed under the name in most common usage, with cross-references given under other names. The Illustrated Dictionary of Nonlinear Dynamics and Chaos is an invaluable reference source for all those who use nonlinear dynamics in their research, whether they are newcomers to the field who need help to understand the literature, or more experienced researchers who need a concise and handy reference.