Nonlinear behavior can be found in such highly disparate areas as population biology and aircraft wing flutter. For this reason, nonlinear dynamics and chaos have become very active fields of research. This work uses an extended case study--an experiment in mechanical vibration--to introduce and explore the subject of nonlinear behavior and chaos from an engineering perspective. After a review of basic principles, the text then describes a cart-on-a-track oscillator and shows what happens when it is gradually subjected to greater excitation, thereby encountering the full spectrum of nonlinear behavior, from simple free decay to chaos. Advanced undergraduate and graduate students, as well as practicing engineers, will find this book a lively, accessible introduction to the subject.
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Book Description
Editorial Reviews
Review
"This well-written textbook...is highly recommended to researchers and students of nonlinear mechanical phenomena and should be available in all mathematics and mechanics libraries."
Applied Mechanics Reviews
"A novel feature of the book is that it introduces many of the concepts using experimental examples...The book very nicely motivates a lot of the theoretical material from experimental results, and successfully brings across the idea that, far from being pathological, complicated dynamics and bifurcation behaviours are widespread even in simple nonlinear systems."
Mathematical Reviews
"A unique book.... Novices to the field of nonlinear dynamics and chaos theory will find the book's introduction of concepts both easy to understand and presented in a physically meaningful manner. The book will also be useful for specialists in chaos and nonlinearity in the comparison of experiments with theoretical models.... This book is recommended for the libraries of both students and researches in nonlinear science."
Physics Today
"The pleasant presentation of the field of nonlinear oscillations and chaos is continually reinforced by the good agreement that is obtained and shown between numerical and experimental results...this book will surely be of great interest to students, engineers, and researchers involved in the field."
Measurement Science and Technology
"This book is highly recommended...clearly written with the novice in mind, and both engineers and physicists will find it worthwhile."
SIAM Review
Applied Mechanics Reviews
"A novel feature of the book is that it introduces many of the concepts using experimental examples...The book very nicely motivates a lot of the theoretical material from experimental results, and successfully brings across the idea that, far from being pathological, complicated dynamics and bifurcation behaviours are widespread even in simple nonlinear systems."
Mathematical Reviews
"A unique book.... Novices to the field of nonlinear dynamics and chaos theory will find the book's introduction of concepts both easy to understand and presented in a physically meaningful manner. The book will also be useful for specialists in chaos and nonlinearity in the comparison of experiments with theoretical models.... This book is recommended for the libraries of both students and researches in nonlinear science."
Physics Today
"The pleasant presentation of the field of nonlinear oscillations and chaos is continually reinforced by the good agreement that is obtained and shown between numerical and experimental results...this book will surely be of great interest to students, engineers, and researchers involved in the field."
Measurement Science and Technology
"This book is highly recommended...clearly written with the novice in mind, and both engineers and physicists will find it worthwhile."
SIAM Review
Book Description
Nonlinear dynamics and chaos have a role in virtually every area of science and engineering and so have become very active fields of study and research. This book uses an extended case study--an experiment in mechanical vibration--to introduce and explore the subject of nonlinear behavior and chaos. Beginning with a review of basic principles, the text then describes a cart-on-a-track oscillator and shows what happens when it is gradually subjected to greater excitation, thereby encountering the full spectrum of nonlinear behavior, from simple free decay to chaos. Students and practicing engineers will find this book a lively, accessible introduction to the complex world of nonlinear dynamics.
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Inside This Book
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First Sentence:
This chapter will set out the motivation and define the context for the material contained in this book. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
stochastic interrogation, amplitude response diagram, softening spring effect, potential energy shape, initial condition map, forcing phase, forcing magnitude, transient escape, linear natural frequency, parabolic track, phase projection, forcing cycle, forcing amplitude, forcing parameters, fractal basin boundaries, local potential energy, generic routes, transient chaos, forcing period, experimental time series, forcing frequency, nondimensional frequency, flip bifurcation, primary resonance, recurrent behavior New!
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This chapter will set out the motivation and define the context for the material contained in this book. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
stochastic interrogation, amplitude response diagram, softening spring effect, potential energy shape, initial condition map, forcing phase, forcing magnitude, transient escape, linear natural frequency, parabolic track, phase projection, forcing cycle, forcing amplitude, forcing parameters, fractal basin boundaries, local potential energy, generic routes, transient chaos, forcing period, experimental time series, forcing frequency, nondimensional frequency, flip bifurcation, primary resonance, recurrent behavior New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 54
books:
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book
cites this book:
- Nonlinear Dynamics and Chaos by J. M. T. Thompson in Back Matter (1), Back Matter (2), and Back Matter (3)
- Elements of structural stability by J. G. A Croll in Front Matter, and Back Matter
- Classical Dynamics of Particles and Systems by Stephen T. Thornton in Back Matter
- Ordinary Differential Equations (Universitext) by Vladimir I. Arnold in Back Matter
- Catastrophe Theory and Its Applications (Dover Books on Mathematics) by Tim Poston in Back Matter
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