Asymptotic Methods for Relaxation Oscillations and Applications (Applied Mathematical Sciences, 63)

Language: English

Published by Springer-Verlag, New York : Berlin : Heidelberg, 1987

0387965130 / 9780387965130

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Seller: Gwyn Tudur Davies, Aberystwyth, United KingdomGwyn Tudur Davies

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Softcover

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Pbk, xiii, 221 p.Contents : 1. Introduction -- 1.1 The Van der Pol oscillator -- 1.2 Mechanical prototypes of relaxation oscillators -- 1.3 Relaxation oscillations in physics and biology -- 1.4 Discontinuous approximations -- 1.5 Matched asymptotic expansions -- 1.6 Forced oscillations -- 1.7 Mutual entrainment -- 2 Free oscillation -- 2.1 Autonomous relaxation oscillation: definition and existence -- 2.2 Asymptotic solution of the Van der Pol equation -- 2.3 The Volterra-Lotka equations -- 2.4 Chemical oscillations -- 2.5 Bifurcation of the Van der Pol equation with a constant forcing term -- 2.6 Stochastic and chaotic oscillations -- 3. Forced oscillation and mutual entrainment -- 3.1 Modeling coupled oscillations -- 3.2 A rigorous theory for weakly coupled oscillators -- 3.3 Coupling of two oscillators -- 4. The Van der Pol oscillator with a sinusoidal forcing term -- 4.1 Qualitative methods of analysis -- 4.2 Asymptotic solution of the Van der Pol equation with a moderate forcing term -- 4.2 Asymptotic solution of the Van der Pol equation with a large forcing term -- 4.3 Asymptotic solution of the Van der Pol equation with a large forcing term -- Appendices -- A: Asymptotics of some special functions -- B: Asymptotic ordering and expansions -- C: Concepts of the theory of dynamical systems -- D: Stochastic differential equations and diffusion approximations [Mathematical physics - Theoretical, Mathematical and Computational Physics. Asymptotic expansions - Differential equations, Nonlinear Asymptotic theory - Oscillations - Mathematical physics] r1090 / m16709.…

Seller Inventory # 016709

Title
Asymptotic Methods for Relaxation Oscillations and Applications (Applied Mathematical Sciences, 63)
Author
Grasman, Johan
Publisher
Springer-Verlag, New York : Berlin : Heidelberg
Publication year
1987
Condition
Fine
Dust jacket
No Jacket
Binding
Soft cover
Language
English
ISBN 10
0387965130
ISBN 13
9780387965130

Gwyn Tudur Davies

Aberystwyth, United Kingdom

5-star seller

AbeBooks seller since January 25, 2017

Shipping rates from United Kingdom to U.S.A.

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General second-hand and antiquarian books as well as large stock of items relating to Wales in both Welsh and English. Pob math o ddeunydd o ddiddordeb Cymreig yn ogystal a llyfrau o ddiddordeb mwy cyffredinol. Os ydych yn chwilio am lyfr penodol, holwch. Correspondence: Welsh & English / Cymraeg a Saesneg

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