Methods In Equivariant Bifurcations And Dynamical Systems (Advanced Nonlinear Dynamics, Band 15) - Hardcover

Chossat, Pascal (Univ Of Nice Antipolis Sophia, France); Lauterbach, Reiner (Univ Hamburg, Germany)

Hardcover

ISBN 10: 9810238282 ISBN 13: 9789810238285

Verlag: World Scientific Publishing Co Pte Ltd, 1999

Inhaltsangabe

This invaluable book presents a comprehensive introduction to bifurcation theory in the presence of symmetry, an applied mathematical topic which has developed considerably over the past twenty years and has been very successful in analysing and predicting pattern formation and other critical phenomena in most areas of science where nonlinear models are involved, like fluid flow instabilities, chemical waves, elasticity and population dynamics.The book has two aims. One is to expound the mathematical methods of equivariant bifurcation theory. Beyond the classical bifurcation tools, such as center manifold and normal form reductions, the presence of symmetry requires the introduction of the algebraic and geometric formalism of Lie group theory and transformation group methods. For the first time, all these methods in equivariant bifurcations are presented in a coherent and self-consistent way in a book.The other aim is to present the most recent ideas and results in this theory, in relation to applications. This includes bifurcations of relative equilibria and relative periodic orbits for compact and noncompact group actions, heteroclinic cycles and forced symmetry-breaking perturbations. Although not all recent contributions could be included and a choice had to be made, a rather complete description of these new developments is provided. At the end of every chapter, exercises are offered to the reader.

Details zur Ausgabe

• Verlag: World Scientific Publishing Co Pte Ltd
• Erscheinungsdatum: 1999
• Sprache: Englisch
• ISBN 10: 9810238282
• ISBN 13: 9789810238285
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 420
• Kontakt zum Hersteller: World Scientific Publishing; https://www.worldscientific.com/; ; 5 Toh Tuck Link; #01-01; 596224; Singapur
• Verantwortliche Person: Buchpark GmbH; gpsr@buchpark.de; ; Krügerweg 1; Trebbin; Brandenburg; 14959; Deutschland