DYNAMICS REPORTED - EXPOSITIONS IN DYNAMICAL SYSTEMS - 3 NEW SERIES: v. 3 (Dynamics Reported S.) - Tapa dura

Jones, Christopher-K-R-T; Krichgraber, U; Walther, H-O

9783540567271: DYNAMICS REPORTED - EXPOSITIONS IN DYNAMICAL SYSTEMS - 3 NEW SERIES: v. 3 (Dynamics Reported S.)

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ISBN 10: 3540567275 ISBN 13: 9783540567271

Editorial: Springer Verlag, 1997

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This volume contains research papers that contribute to the field of dynamical systems. They cover limit relative category and critical point theory, the co-existence of infinitely many stable solutions to reaction diffusion systems and second-order hyperbolic mixed problems.

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Rese�a del editor

DYNAMICS REPORTED reports on recent developments in dynamical systems. Dynamical systems of course originated from ordinary differential equations. Today, dynamical systems cover a much larger area, including dynamical processes described by functional and integral equations, by partial and stochastic differential equations, etc. Dynamical systems have involved remarkably in recent years. A wealth of new phenomena, new ideas and new techniques are proving to be of considerable interest to scientists in rather different fields. It is not surprising that thousands of publications on the theory itself and on its various applications are appearing DYNAMICS REPORTED presents carefully written articles on major subjects in dynamical systems and their applications, addressed not only to specialists but also to a broader range of readers including graduate students. Topics are advanced, while detailed exposition of ideas, restriction to typical results - rather than the most general one- and, last but not least, lucid proofs help to gain the utmost degree of clarity. It is hoped, that DYNAMICS REPORTED will be useful for those entering the field and will stimulate an exchange of ideas among those working in dynamical systems Summer 1991 Christopher K. R. T Jones Drs Kirchgraber Hans-Otto Walther Managing Editors Table of Contents Limit Relative Category and Critical Point Theory G. Fournier, D. Lupo, M. Ramos, M. Willem 1. Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2. Relative Category . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 3. Relative Cupiength . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 4. Limit Relative Category . . . . . . . . . . . . . . . . . . . . . . . '" . . . . " . . . . . . . . . . . . . . . . 10 5. The Deformation Lemma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 6. Critical Point Theorems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 7. Some Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Rese�a del editor

This book contains three contributions with topics in dynamical systems: Limit relative category and critical point theory, coexistence of infinitely many stable solutions to reaction diffusion systems, and second-order hyperbolic mixed problems. All the authors give a careful and readable presentation of recent research results, which are of interest to mathematicians, mathematical biologists, chemists and physicists. The book is written for graduate students and researchers in these fields and it is also suitable as a text for graduate level seminars in dynamical systems.

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