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This essential handbook provides the theoretical and experimental tools necessary to begin researching the nonlinear behavior of mechanical, electrical, optical, and other systems. The book describes several nonlinear systems which are realized by desktop experiments, such as an apparatus showing chaotic string vibrations, an LRC circuit displaying strange scrolling patterns, and a bouncing ball machine illustrating the period doubling route to chaos. Fractal measures, periodic orbit extraction, and symbolic analysis are applied to unravel the chaotic motions of these systems. The simplicity of the examples makes this an excellent book for undergraduate and graduate-level physics and mathematics courses, new courses in dynamical systems, and experimental laboratories.
This text investigates the theoretical and experimental methodologies required to analyze and quantify nonlinear behavior in complex physical systems. The authors, Jeremiah Reilly, Nicholas B. Tufillaro, and Tyler Abbott, provide a structured framework that bridges abstract mathematical concepts with tangible laboratory applications. By utilizing specific mechanical and electrical apparatuses, the book demonstrates how chaotic motion can be observed, measured, and interpreted within undergraduate and graduate physics curricula.
What You Will Find
Experts identify this work as a practical resource for students and researchers transitioning from theoretical study to experimental laboratory work. Readers frequently note the clarity of the provided examples, which effectively demystify complex dynamical systems for those new to the field.
Page Count:
448
Publication Date:
1992-05-20
Publisher:
Basic Books
ISBN-10:
0201554410
ISBN-13:
9780201554410
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