A revision of a professional text on the phenomena of chaotic vibrations in fluids and solids. Major changes reflect the latest developments in this fast-moving topic, the introduction of problems to every chapter, additional mathematics and applications, more coverage of fractals, numerous computer and physical experiments. Contains eight pages of 4-color pictures.
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A revision of a professional text on the phenomena of chaotic vibrations in fluids and solids. Major changes reflect the latest developments in this fast-moving topic, the introduction of problems to every chapter, additional mathematics and applications, more coverage of fractals, numerous computer and physical experiments. Contains eight pages of 4-color pictures.
From the Inside Flap
Since the publication of Francis Moon's Chaotic Vibrations in 1987, new discoveries in nonlinear dynamics have been made. Scientists and engineers have been particularly intrigued by the applications of these new ideas in chaotic dynamics and fractals to electrical, mechanical, as well as other physical systems. Retaining its unique emphasis on the physical nature of chaos, the latest edition of Moon's highly regarded work on the phenomena of chaotic vibrations translates these new mathematical ideas in nonlinear dynamics into language that engineers and scientists can readily use and apply. The revisions and enhancements in Chaotic and Fractal Dynamics not only reflect new developments in this fast-moving field but are also responses to the requests of many readers who applauded the original edition's stress on physical systems and experiments. Accordingly, this updated edition now includes:
* problems that appear at the end of every chapter making the book more suitable for use as a text
* an entirely new chapter devoted to summarizing basic concepts of coupled iterative difference equations or maps as they relate to chaotic dynamics
* more coverage of fractals, including an introduction to multifractals
* an expanded number of physical applications, including new references to experimental observations of chaos, along with appropriate mathematical models
* additional discussion of experimental tools used to predict and quantify chaotic dynamics in physical systems
* new material on empirical and theoretical criteria for chaos
* an introduction to a major new direction in chaos research- spatio-temporal dynamics
* more than 100 new references throughout the book and an expanded listing of chaotic toys and experiments in the appendices
Reflecting the vitality of new mathematical ideas in nonlinear dynamics, Chaotic and Fractal Dynamics will prove to be invaluable reading for applied scientists and engineers, including those involved in such diverse areas as mechanical and structural vibrations, nonlinear circuit design, control theory and robotics, machine noise, laser dyanmics, flow-induced motions, and chemical and bio-dynamics. With the addition of new problem sets in every chapter, the book will also serve the textbook needs of physics and engineering instructors in graduate courses in dynamics and chaos.
* problems that appear at the end of every chapter making the book more suitable for use as a text
* an entirely new chapter devoted to summarizing basic concepts of coupled iterative difference equations or maps as they relate to chaotic dynamics
* more coverage of fractals, including an introduction to multifractals
* an expanded number of physical applications, including new references to experimental observations of chaos, along with appropriate mathematical models
* additional discussion of experimental tools used to predict and quantify chaotic dynamics in physical systems
* new material on empirical and theoretical criteria for chaos
* an introduction to a major new direction in chaos research- spatio-temporal dynamics
* more than 100 new references throughout the book and an expanded listing of chaotic toys and experiments in the appendices
Reflecting the vitality of new mathematical ideas in nonlinear dynamics, Chaotic and Fractal Dynamics will prove to be invaluable reading for applied scientists and engineers, including those involved in such diverse areas as mechanical and structural vibrations, nonlinear circuit design, control theory and robotics, machine noise, laser dyanmics, flow-induced motions, and chemical and bio-dynamics. With the addition of new problem sets in every chapter, the book will also serve the textbook needs of physics and engineering instructors in graduate courses in dynamics and chaos.
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Inside This Book
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First Sentence:
For some, the study of dynamics began and ended with Newton's Law of F = mA. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
buckled elastic beam, orbit criterion, averaged pointwise dimension, chaos diagram, stochastic orbits, buckled beam, chaotic toys, chaotic vibrations, conservative chaos, friction oscillator, capacity fractal dimension, potential oscillator, acoustic chaos, magnetic pendulum, nonlinear inductor, horseshoe map, quasiperiodic motion, panel flutter, fractal basin boundaries, transient chaos, spatiotemporal chaos, impact oscillator, forcing amplitude, chaotic mixing, convection loop Key Phrases - Capitalized Phrases (CAPs): (learn more)
American Physical Society, Cornell University, University of Maryland, Elsevier Science Publishers, Soviet Union, University of Texas, Both Real New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
For some, the study of dynamics began and ended with Newton's Law of F = mA. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
buckled elastic beam, orbit criterion, averaged pointwise dimension, chaos diagram, stochastic orbits, buckled beam, chaotic toys, chaotic vibrations, conservative chaos, friction oscillator, capacity fractal dimension, potential oscillator, acoustic chaos, magnetic pendulum, nonlinear inductor, horseshoe map, quasiperiodic motion, panel flutter, fractal basin boundaries, transient chaos, spatiotemporal chaos, impact oscillator, forcing amplitude, chaotic mixing, convection loop Key Phrases - Capitalized Phrases (CAPs): (learn more)
American Physical Society, Cornell University, University of Maryland, Elsevier Science Publishers, Soviet Union, University of Texas, Both Real New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
This book cites 58
books:
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14
books
cite this book:
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- Directions in Chaos (World Scientific Series on Directions in Condensed Matter Physics) by B. L. Hao in Back Matter (1), Back Matter (2), and Back Matter (3)
- Directions in Chaos (World Scientific Series on Directions in Condensed Matter Physics) by Hao Bai-Lin in Back Matter (1), and Back Matter (2)
- Deterministic Chaos: An Introduction by Heinz Georg Schuster in Back Matter (1), and Back Matter (2)
- Chaotic Dynamics of Nonlinear Systems by S. Neil Rasband in Back Matter (1), and Back Matter (2)
- The Structure of Scientific Revolutions by Thomas S. Kuhn on page 147, and Back Matter
See all 58 books this book cites
- Fractal-Based Point Processes by Steven Bradley Lowen in Back Matter
- Proceedings of the 11th International Heat Transfer Conference, Vol. 1 by J. S. Lee on page 20
- Introduction to Control of Oscillations and Chaos (World Scientific Series on Nonlinear Science. Series a, Monographs and Treatises, V. 35) by A. L. Fradkov in Back Matter
- IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics (Solid Mechanics and Its Applications) by Francis C. Moon on page 271
- Complexity in Structure and Function of the Lung (Lung Biology in Health and Disease) by Hlastala on page 609
See all 14 books citing this book
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