How Long to Read Asymptotic Methods for Relaxation Oscillations and Applications

How Long Does it Take to Read Asymptotic Methods for Relaxation Oscillations and Applications?

It takes the average reader 3 hours and 53 minutes to read Asymptotic Methods for Relaxation Oscillations and Applications by Johan Grasman

Assuming a reading speed of 250 words per minute. Learn more

Description

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.

How long is Asymptotic Methods for Relaxation Oscillations and Applications?

Asymptotic Methods for Relaxation Oscillations and Applications by Johan Grasman is 227 pages long, and a total of 58,339 words.

This makes it 77% the length of the average book. It also has 71% more words than the average book.

How Long Does it Take to Read Asymptotic Methods for Relaxation Oscillations and Applications Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 18 minutes to read Asymptotic Methods for Relaxation Oscillations and Applications aloud.

What Reading Level is Asymptotic Methods for Relaxation Oscillations and Applications?

Asymptotic Methods for Relaxation Oscillations and Applications is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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