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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Asymptotic Methods for Relaxation Oscillations and Applications

Asymptotic Methods for Relaxation Oscillations and Applications

Grasman, Johan

Hardcover

Series: Applied Mathematical Sciences, Book 63

General GardeningGeneral MathematicsPhysics

ISBN10: 0387965130
ISBN13: 9780387965130
Publisher: Springer
Published: Apr 3 1987
Pages: 227
Weight: 0.75
Height: 0.51 Width: 6.14 Depth: 9.21
Language: English
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.

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