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Dynamics of One-Dimensional Maps PDF Download. Download free ebook of Dynamics of One-Dimensional Maps in PDF format or read online by A.N. Sharkovsky,S.F. Kolyada,A.G. Sivak,V.V. Fedorenko 9780792345329 Published on 1997-04-30 by Springer Science & Business Media

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.

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Book which was published by Springer Science & Business Media since 1997-04-30 have ISBNs, ISBN 13 Code is 9780792345329 and ISBN 10 Code is 0792345320

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Download Dynamics of One-Dimensional Maps PDF Free

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