Overview

Dynamics Reported reports on recent developments in dynamical systems theory. Dynamical systems theory of course originated from ordinary differential equations. Today, dynamical systems theory covers a much larger area, including dynamical processes described by functional and integral equations, by partial and stochastic differential equations, etc. Dynamical systems theory has evolved remarkably rapidly in the recent years. A wealth of new phenomena, new ideas and new techniques proved 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 have appeared and still will appear. 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. Topics are advanced while detailed exposition of ideas, restriction to typical results, rather than to the most general ones, and last but not least lucid proofs help to gain an utmost degree of clarity. It is hoped that Dynamics Reported will stimulate exchange of ideas among those working in dynamical systems and moreover will be useful for those entering the field.

Full Product Details

Author:   Urs Kirchgraber ,  Hans-Otto Walther ,  Urs Kirchgraber ,  Hans-Otto Walther
Publisher:   Springer Fachmedien Wiesbaden
Imprint:   Vieweg+Teubner Verlag
Edition:   Softcover reprint of the original 1st ed. 1988
Volume:   1
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.492kg
ISBN:  

9783519021506

ISBN 10:   3519021501
Pages:   306
Publication Date:   01 April 1988
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In stock  
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Language:   German

Table of Contents

1 Mather Sets for Twist Maps and Geodesics on Tori.- 2 Connecting Orbits in Scalar Reaction Diffusion Equations.- 3 Qualitative Theory of Nonlinear Resonance by Averaging and Dynamical Systems Methods.- 4 An Algorithmic Approach for Solving Singularly Perturbed Initial Value Problems.- 5 Exponential Dichotomies, the Shadowing Lemma and Transversal Homoclinic Points.

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