The Chaotic Pendulum

Front Cover
World Scientific, 2010 - Science - 142 pages
Pendulum is the simplest nonlinear system, which, however, provides the means for the description of different phenomena in Nature that occur in physics, chemistry, biology, medicine, communications, economics and sociology. The chaotic behavior of pendulum is usually associated with the random force acting on a pendulum (Brownian motion). Another type of chaotic motion (deterministic chaos) occurs in nonlinear systems with only few degrees of freedom. This book presents a comprehensive description of these phenomena going on in underdamped and overdamped pendula subject to additive and multiplicative periodic and random forces. No preliminary knowledge, such as complex mathematical or numerical methods, is required from a reader other than undergraduate courses in mathematical physics. A wide group of researchers, along with students and teachers will, thus, benefit from this definitive book on nonlinear dynamics.
 

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Contents

Chapter 2 Deterministic Chaos
27
Chapter 3 Pendulum subject to a Random Force
77
Chapter 4 Systems with Two Degrees of Freedom
113
Chapter 5 Conclusions
131
Bibliography
133
Glossary
139
Index
141
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