1993/10/01 by Nicholas Tufillaro, Tyler Abbot, Jeremiah Reilly +1 · 5 citations
Physics and Astronomy · Mathematics · Economics, Econometrics and Finance · #Chaos control and synchronization #Mathematical Dynamics and Fractals #Complex Systems and Time Series Analysis
paper · doi:10.1119/1.17380
openalex publication_date 1993/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/15
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.