Sökning: "Lyapunovexponenter"

Hittade 2 uppsatser innehållade ordet Lyapunovexponenter.

1. 1. On the dynamics of a family of critical circle endomorphisms

   Master-uppsats, KTH/Matematik (Avd.)

   Författare :Nils Hemmingsson; [2019]
   Nyckelord :Dynamical systems; Hyperbolic dynamics; Non-uniform hyperbolicity; Lyapunov exponents; Dynamiska system; Hyperboliska system; Icke-likformig hyperbolicitet; Lyapunovexponenter;

   Sammanfattning : In this thesis we study two seperate yet related three parameter-families of continuously differentiable maps from the unit circle to unit circle which have a single critical point. For one of the families we show that there is a set of positive measure of parameters such that there is a set of positive measure for which all points in the latter set, the derivative experiences exponential growth. LÄS MER

3. 2. Constructing Multidimensional Dynamical Systems with Positive Lyapunov Exponents

   Master-uppsats, KTH/Matematik (Avd.)

   Författare :Martin Andersson; [2018]
   Nyckelord :;

   Sammanfattning : In this thesis we adapt Marcelo Viana's general construction of smooth transformations exhibiting non-uniform expansion in several dimensions. In our construction we, instead of coupling with a quadratic map, as Viana did, derive the expansion from a mapping with a cubic critical point. LÄS MER