A. N. Sharkovsky / V. V. Fedorenko / A. G. Sivak / S. F. Kolyada
Dynamics of One-Dimensional Maps
- Springer Netherlands
- 2010
- Taschenbuch
- 276 Seiten
- ISBN 9789048148462
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
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