Perturbation Methods, Bifurcation Theory and Computer Algebra

Name: Perturbation Methods, Bifurcation Theory and Computer Algebra
Brand: Springer-Verlag New York Inc.
SKU: 9780387965895
Price: 276.01 RON
Availability: InStock

Autor: Richard H. Rand, Dieter Armbruster

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Editura: Springer-Verlag New York Inc.

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Perturbation methods have always been an important tool for treating nonlinear differential equation...

Informații despre carte

Autor

Richard H. Rand, Dieter Armbruster

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2009

Pagini

251

EAN

9780387965895

ISBN

0387965890

Enbook ID

06793875

Editura

Springer-Verlag New York Inc.

Greutate

820

Dimensiuni

155 x 235 x 15

Descriere completă

Perturbation methods have always been an important tool for treating nonlinear differential equations. Now the drudgery associated with them has been eliminated! This book offers computer algebra (MACSYMA) programs which implement the most popular perturbation methods. Not only does this avoid the errors associated with hand computation, but the increase in efficiency permits more complicated problems to be tackled. This book is useful both for the beginner learning perturbation methods for the first time, as well as for the researcher. Methods covered include: Lindstedt's method, center manifolds, normal forms, two variable expansion method (method of multiple scales), averaging, Lie transforms and Liapunov-Schmidt reduction. For each method the book includes an introduction and some example problems solved both by hand and by machine. The examples feature common bifurcations such as the pitchfork and the Hopf. The MACSYMA code for each method is given and suggested exercises are provided at the end of each Chapter. An Appendix offers a brief introduction to MACSYMA.

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Perturbation Methods, Bifurcation Theory and Computer Algebra

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