Free Delivery Over $100
|
|
|||
|
||||
OverviewThis largely self-contained research monograph addresses the following type of questions. Suppose one encounters a continuous time dynamical system with some built-in symmetry. Should one expect periodic motions which somehow reflect this symmetry? And how would periodicity harmonize with symmetry? Probing into these questions leads from dynamics to topology, algebra, singularity theory, and to many applications. Within a global approach, the emphasis is on periodic motions far from equilibrium. Mathematical methods include bifurcation theory, transversality theory, and generic approximations. A new homotopy invariant is designed to study the global interdependence of symmetric periodic motions. Besides mathematical techniques, the book contains 5 largely nontechnical chapters. The first three outline the main questions, results and methods. A detailed discussion pursues theoretical consequences and open problems. Results are illustrated by a variety of applications including coupled oscillators and rotating waves: these links to such disciplines as theoretical biology, chemistry, fluid dynamics, physics and their engineering counterparts make the book directly accessible to a wider audience. Full Product DetailsAuthor: Bernold FiedlerPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 1988 ed. Volume: 1309 Dimensions: Width: 15.50cm , Height: 0.80cm , Length: 23.50cm Weight: 0.530kg ISBN: 9783540192343ISBN 10: 3540192344 Pages: 154 Publication Date: 11 May 1988 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsMain results.- No symmetry - a survey.- Virtual symmetry.- Generic local theory.- Generic global theory.- General global theory.- Applications.- Discussion.- Appendix on genericity.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
