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Dynamics Reported: Expositions in Dynamical Systems

✍ Scribed by Chr. Genecand (auth.), C. K. R. T. Jones, U. Kirchgraber, H. O. Walther (eds.)


Publisher
Springer-Verlag Berlin Heidelberg
Year
1993
Tongue
English
Leaves
242
Series
Dynamics Reported 2
Edition
1
Category
Library

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✦ Synopsis


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 proΒ­ cesses 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 subΒ­ jects in dynamical systems and their applications, addressed not only to specialΒ­ ists but also to a broader range of readers including graduate students. Topics are advanced, while detailed exposition of ideas, restriction to typical result- rather than the most general ones - 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 enterΒ­ ing the field and will stimulate an exchange of ideas among those working in dynamical systems.

✦ Table of Contents


Front Matter....Pages I-IX
Transversal Homoclinic Orbits near Elliptic Fixed Points of Area-preserving Diffeomorphisms of the Plane....Pages 1-30
Asymptotic Periodicity of Markov and Related Operators....Pages 31-68
A Nekhoroshev-Like Theory of Classical Particle Channeling in Perfect Crystals....Pages 69-115
The Adiabatic Invariant in Classical Mechanics....Pages 117-235
Back Matter....Pages 237-237

✦ Subjects


Analysis;Probability Theory and Stochastic Processes;Theoretical, Mathematical and Computational Physics


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