Topics in Bifurcation Theory and Applications - Couverture rigide

Adelmeyer, Moritz; Iooss, Gerard

Couverture rigide

ISBN 10 : 9810210094 ISBN 13 : 9789810210090

Editeur : World Scientific Publishing Co Pte Ltd, 1992

Synopsis

This textbook presents modern techniques of local bifurcation theory of vector fields. The first part reviews the Center Manifold theory and introduces a constructive approach of Normal Forms, with many examples. Basic bifurcations as saddle-node, pitchfork and Hopf are studied, together with bifurcations in the presence of symmetries. Special attention is given to examples with reversible vector fields. The second part deals with the Couette-Taylor hydrodynamical instability problem, between concentric rotating cylinders, when the rotation rates are varied. Primary bifurcations to Taylor-vortex flow, Spirals and Ribbons are studied, and secondary bifurcations are presented as illustrations of bifurcations from group orbits of solutions. The third part analyses bifurcations from periodic solutions, i.e. perturbations of an autonomous vector field having a closed orbit. Same tools are used, and studies of period doubling as well as Arnold's resonance tongues are included.

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 1992
• Langue: anglais
• ISBN 10: 9810210094
• ISBN 13: 9789810210090
• Reliure: Relié
• Nombre de pages: 130
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible