This item is printed on demand - Print on Demand Titel. Neuware -This book is based upon my monograph Index Theory for Hamiltonian Systems with Applications published in 1993 in Chinese, and my notes for lectures and courses given at Nankai University, Brigham Young University, ICTP-Trieste, and the Institute of Mathematics of Academia Sinica during the last ten years. The aim of this book is twofold: (1) to give an introduction to the index theory for symplectic matrix paths and its iteration theory, which form a basis for the Morse theoretical study on Hamilto nian systems, and to give applications of this theory to periodic boundary value problems of nonlinear Hamiltonian systems. Here the iteration theory means the index theory of iterations of periodic solutions and symplectic matrix paths. (2) to serve as a reference book on these topics. There are many different ways to introduce the index theory for symplectic paths in order to establish Morse type index theory of Hamiltonian systems. In this book, I have chosen a relatively elementary way, i.e., the homotopy classification method of symplectic matrix paths. It depends only on linear algebra, point set topology, and certain basic parts of linear functional analysis. I have tried to make this part of the book self-contained and at the same time include all of the major results on these topics so that researchers and students interested in them can read it without substantial difficulties, and can learn the main results in this area for their possible applications.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 408 pp. Englisch.

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T�tulo: Index Theory for Symplectic Paths with Applications
Editor: Birkh�user Basel, Birkh�user Basel M�r 2002
Fecha de publicaci�n: 2002
Idioma: Ingl�s
ISBN 10: 3764366478
ISBN 13: 9783764366476
Encuadernaci�n: Buch
Estado: Neu
Dimensiones: 241�mil�metros de ancho por 160 de alto por 27 de largo
Peso: 776 gramos

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This book gives an introduction to index theory for symplectic matrix paths and its iteration theory, as well as applications to periodic solution problems of nonlinear Hamiltonian systems. The applications of these concepts yield new approaches to some outstanding problems. Particular attention is given to the minimal period solution problem of Hamiltonian systems and the existence of infinitely many periodic points of the Poincar� map of Lagrangian systems on tori.

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