Isbn: 9780387954646 - normal forms and unfoldings for local dynamical systems (springer monographs in mathematics) (21 Ergebnisse)

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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This is the most thorough treatment of normal forms currently existing in book form. There is a substantial gap between elementary treatments in textbooks and advanced research papers on normal forms. This book develops all the necessary theory 'from scratch' in just the form that is needed for the application to normal forms, with as little unnecessary terminology as possible. 524 pp. Englisch.…

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Buch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The subject of local dynamical systems is concerned with the following two questions: 1. Given an n×n matrix A, describe the behavior, in a neighborhood of the origin, of the solutions of all systems of di erential equations having a rest point at the origin with linear part Ax, that is, all systems of the form x = Ax+ , n where x R and the dots denote terms of quadratic and higher order. 2. Describethebehavior(neartheorigin)ofallsystemsclosetoasystem of the type just described. To answer these questions, the following steps are employed: 1. A normal form is obtained for the general system with linear part Ax. The normal form is intended to be the simplest form into which any system of the intended type can be transformed by changing the coordinates in a prescribed manner. 2. An unfolding of the normal form is obtained. This is intended to be the simplest form into which all systems close to the original s- tem can be transformed. It will contain parameters, called unfolding parameters, that are not present in the normal form found in step 1. vi Preface 3. The normal form, or its unfolding, is truncated at some degree k, and the behavior of the truncated system is studied.…

Gebunden. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This is the most thorough treatment of normal forms currently existing in book form. There is a substantial gap between elementary treatments in textbooks and advanced research papers on normal forms. This book develops all the necessary theory from scr.…

Buch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The goal of this book is to present the most thorough treatment of normal forms that currently exists in book form. Presently there is a big gap between the elementary treatments in textbooks and the advanced research papers on normal forms. The targeted audience for this book is Ph.D. students and researchers in applied mathematics, theoretical physics, and advanced engineering. While it is self- contained and could in principle be read by anyone with a sufficient background in linear algebra and differential equations, it is assumed that most readers will have had some previous exposure to dynamical systems.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 520 pp. Englisch.…