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The Behavior of Transformations on Intervals and Manifolds

  • Andrzej Lasota
  • Michael C. Mackey
Part of the Applied Mathematical Sciences book series (AMS, volume 97)

Abstract

This chapter is devoted to a series of examples of transformations on intervals and manifolds whose asymptotic behavior can be explored through the use of the material developed in Chapter 5 Although results are often stated in terms of the asymptotic stability of {P n }, where P is a Frobenius—Perron operator corresponding to a transformation S, remember that, according to Proposition 5.6.2, S is exact when {P n } is asymptotically stable and S is measure preserving.

Keywords

Asymptotic Stability Tangent Vector Stationary Density Bounded Variation Induction Argument 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Andrzej Lasota
    • 1
  • Michael C. Mackey
    • 2
  1. 1.Institute of MathematicsSilesian UniversityKatowicePoland
  2. 2.Center of Nonlinear DynamicsMcGill UniversityMontrealCanada

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