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Dynamics of One-Dimensional Maps
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Bog, paperback (kr. 629,95) (kr. 629,95)
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  • Forventet levering 18-12-2018
  • 32%
Format:
Bog, paperback
Udgivelsesdato:
03-12-2010
Sprog:
Engelsk
Sidetal:
262
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  1. Beskrivelse

    maps whose topological entropy is equal to zero (i.e., maps that have only cyeles of pe- 2 riods 1,2,2 , ... 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. 1 Paperback / softback IX, 262 p.

  2. Yderligere info
    ISBN13:
    9789048148462
    Vægt:
    427 g
    Dybde:
    14 mm
    Bredde:
    155 mm
    Højde:
    235 mm
    Forlag:
    Springer
    Nummer i serien:
    407
    Format:
    Paperback
    Udgave:
    Softcover reprint of hardcover 1st ed. 1997
    • Bibliotekernes beskrivelse

      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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