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Toward Analytical Chaos in Nonlinear Systems by Albert C. J. Luo (Hardcover, 2014)

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Professor Luo is currently a Distinguished Research Professor at Southern Illinois University Edwardsville. His new research results are changing the traditional thinking in nonlinear physics and mathematics.

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Exact analytical solutions to periodic motions in nonlinear dynamical systems are almost not possible. Since the 18th century, one has extensively used techniques such as perturbation methods to obtain approximate analytical solutions of periodic motions in nonlinear systems. However, the perturbation methods cannot provide the enough accuracy of analytical solutions of periodic motions in nonlinear dynamical systems. So the bifurcation trees of periodic motions to chaos cannot be achieved analytically. The author has developed an analytical technique that is more effective to achieve periodic motions and corresponding bifurcation trees to chaos analytically. Toward Analytical Chaos in Nonlinear Systems systematically presents a new approach to analytically determine periodic flows to chaos or quasi-periodic flows in nonlinear dynamical systems with/without time-delay. It covers the mathematical theory and includes two examples of nonlinear systems with/without time-delay in engineering and physics. From the analytical solutions, the routes from periodic motions to chaos are developed analytically rather than the incomplete numerical routes to chaos. The analytical techniques presented will provide a better understanding of regularity and complexity of periodic motions and chaos in nonlinear dynamical systems. Key features: Presents the mathematical theory of analytical solutions of periodic flows to chaos or quasieriodic flows in nonlinear dynamical systems Covers nonlinear dynamical systems and nonlinear vibration systems Presents accurate, analytical solutions of stable and unstable periodic flows for popular nonlinear systems Includes two complete sample systems Discusses time-delayed, nonlinear systems and time-delayed, nonlinear vibrational systems Includes real world examples Toward Analytical Chaos in Nonlinear Systems is a comprehensive reference for researchers and practitioners across engineering, mathematics and physics disciplines, and is also a useful source of information for graduate and senior undergraduate students in these areas.

Product Identifiers

Publisher
John Wiley & Sons Inc
ISBN-13
9781118658611
eBay Product ID (ePID)
194671475

Product Key Features

Author
Albert C. J. Luo
Publication Name
Toward Analytical Chaos in Nonlinear Systems
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2014
Type
Textbook
Number of Pages
268 Pages

Dimensions

Item Height
251mm
Item Width
168mm
Item Weight
566g

Additional Product Features

Title_Author
Albert C. J. Luo
Country/Region of Manufacture
United States

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item 1 Toward Analytical Chaos in Nonlinear Systems by Albert C.J. Luo (English) Hardco
AU $249.23
Free postage
item 2 Albert C. J. Lu Toward Analytical Chaos in Nonlinear Syst (Hardback) (US IMPORT)
AU $267.45
Free postage

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Picture 1 of 1

Toward Analytical Chaos in Nonlinear Systems by Albert C. J. Luo (Hardcover, 2014)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 Toward Analytical Chaos in Nonlinear Systems by Albert C.J. Luo (English) Hardco

item 2 Albert C. J. Lu Toward Analytical Chaos in Nonlinear Syst (Hardback) (US IMPORT)

Best Selling in Adult Learning & University

Australian Guidebook for Structural Engineers by Lonnie Pack (Paperback, 2019)

Eduqas GCSE (9-1) Religious Studies Route B: Catholic Christianity and Judaism by Deirdre Cleary, Andrew Barron, Joy White, Patrick Harrison (Paperback, 2017)

Time Management by Peter Quarry (Paperback, 1986)

The Ethnic Cleansing of Palestine by Ilan Pappe (Paperback, 2007)

Save on Adult Learning & University

The Australian Native Bee Hive Book: Keeping Stingless Sugarbag OATH Tim Heard

Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by A

Netter Atlas of Human Anatomy: Classic Regional Approach

The Indoctrinated Brain: How to Successfully Fend Off the Global Attack on Your

Tuning the A-Series Engine: the Definitive Manual on tuning for Performance or E

Classical Mechanics: The Theoretical Minimum by George Hrabovsky

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