Topics in Bifurcation Theory and Applications (2nd Edition)

Language: English

Published by World Scientific Publishing Company Jan 1999, 1999

9810237286 / 9789810237288

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Neuware - This textbook presents the most efficient analytical techniques in the local bifurcation theory of vector fields. It is centered on the theory of normal forms and its applications, including interaction with symmetries.The first part of the book reviews the center manifold reduction and introduces normal forms (with complete proofs). Basic bifurcations are studied together with bifurcations in the presence of symmetries. Special attention is given to examples with reversible vector fields, including the physical example given by the water waves. In this second edition, many problems with detailed solutions are added at the end of the first part (some systems being in infinite dimensions). The second part deals with the Couette-Taylor hydrodynamical stability problem, between concentric rotating cylinders. The spatial structure of various steady or unsteady solutions results directly from the analysis of the reduced system on a center manifold. In this part we also study bifurcations (simple here) from group orbits of solutions in an elementary way (avoiding heavy algebra). The third part analyzes bifurcations from time periodic solutions of autonomous vector fields. A normal form theory is developed, covering all cases, and emphasizing a partial Floquet reduction theory, which is applicable in infinite dimensions. Studies of period doubling as well as Arnold's resonance tongues are included in this part.…

Seller Inventory # 9789810237288

Title
Topics in Bifurcation Theory and Applications (2nd Edition)
Author
Moritz Adelmeyer
Publisher
World Scientific Publishing Company Jan 1999
Publication year
1999
Condition
Neu
Binding
Buch
Language
English
ISBN 10
9810237286
ISBN 13
9789810237288
Edition
2nd Edition
Item weight
413 grams
Dimensions
224x160x17 mm

AHA-BUCH GmbH

Einbeck, Germany

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