Asymptotic Methods for Relaxation Oscillations and Applications is popular PDF and ePub book, written by Johan Grasman in 2012-12-06, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Asymptotic Methods for Relaxation Oscillations and Applications can be Read Online from any device for your convenience.
Asymptotic Methods for Relaxation Oscillations and Applications Book PDF Summary
In various fields of science, notably in physics and biology, one is con fronted with periodic phenomena having a remarkable temporal structure: it is as if certain systems are periodically reset in an initial state. A paper of Van der Pol in the Philosophical Magazine of 1926 started up the investigation of this highly nonlinear type of oscillation for which Van der Pol coined the name "relaxation oscillation". The study of relaxation oscillations requires a mathematical analysis which differs strongly from the well-known theory of almost linear oscillations. In this monograph the method of matched asymptotic expansions is employed to approximate the periodic orbit of a relaxation oscillator. As an introduction, in chapter 2 the asymptotic analysis of Van der Pol's equation is carried out in all detail. The problem exhibits all features characteristic for a relaxation oscillation. From this case study one may learn how to handle other or more generally formulated relaxation oscillations. In the survey special attention is given to biological and chemical relaxation oscillators. In chapter 2 a general definition of a relaxation oscillation is formulated.
Detail Book of Asymptotic Methods for Relaxation Oscillations and Applications PDF
- Author : Johan Grasman
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9781461210566
- Genre : Science
- Total Page : 229 pages
- Language : English
- PDF File Size : 12,7 Mb
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