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.Ode renders a numerical solution to the initial value problem for many families of first-order differential equations. ... The Ode Usera#39;s Manual provides both a tutorial on applying Ode and a discussion of its design and implementation .
|Title||:||An Experimental Approach to Nonlinear Dynamics and Chaos|
|Author||:||Nicholas Tufillaro, Tyler Abbott|
|Publisher||:||Addison Wesley Publishing Company - 1992-01|