Advanced Series in Nonlinear Dynamics: Topics in Bifurcation Theory and Applications (PDF)
(Sprache: Englisch)
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...
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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...
Bibliographische Angaben
- Autoren: Moritz Adelmeyer , Gérard Iooss
- 1999, Englisch
- ISBN-10: 9812815724
- ISBN-13: 9789812815729
- Erscheinungsdatum: 22.01.1999
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- Größe: 7.92 MB
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Sprache:
Englisch
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