Dynamics of One Dimensional Maps is popular PDF and ePub book, written by A.N. Sharkovsky in 2013-06-29, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Dynamics of One Dimensional Maps can be Read Online from any device for your convenience.
Dynamics of One Dimensional Maps Book PDF Summary
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.
Detail Book of Dynamics of One Dimensional Maps PDF
- Author : A.N. Sharkovsky
- Release : 29 June 2013
- Publisher : Springer Science & Business Media
- ISBN : 9789401588973
- Genre : Mathematics
- Total Page : 268 pages
- Language : English
- PDF File Size : 17,5 Mb
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