Dynamics of One-Dimensional Maps

Language: English

Published by Springer, Springer Apr 1997, 1997

0792345320 / 9780792345329

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This item is printed on demand - Print on Demand Titel. Neuware -maps whose topological entropy is equal to zero (i.e., maps that have only cyeles of pe 2 riods 1,2,2 , . ) are studied in detail and elassified. Various topological aspects of the dynamics of unimodal maps are studied in Chap ter 5. We analyze the distinctive features of the limiting behavior of trajectories of smooth maps. In particular, for some elasses of smooth maps, we establish theorems on the number of sinks and study the problem of existence of wandering intervals. In Chapter 6, for a broad elass of maps, we prove that almost all points (with respect to the Lebesgue measure) are attracted by the same sink. Our attention is mainly focused on the problem of existence of an invariant measure absolutely continuous with respect to the Lebesgue measure. We also study the problem of Lyapunov stability of dynamical systems and determine the measures of repelling and attracting invariant sets. The problem of stability of separate trajectories under perturbations of maps and the problem of structural stability of dynamical systems as a whole are discussed in Chap ter 7. In Chapter 8, we study one-parameter families of maps. We analyze bifurcations of periodic trajectories and properties of the set of bifurcation values of the parameter, in eluding universal properties such as Feigenbaum universality.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 276 pp. Englisch.…

Seller Inventory # 9780792345329

Title
Dynamics of One-Dimensional Maps
Author
A. N. Sharkovsky
Publisher
Springer, Springer Apr 1997
Publication year
1997
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0792345320
ISBN 13
9780792345329
Item weight
582 grams
Dimensions
241x160x20 mm

buchversandmimpf2000

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