Essays about: "smooth dynamical systems"
Found 2 essays containing the words smooth dynamical systems.
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1. Local Rigidity of Some Lie Group Actions
University essay from KTH/Matematik (Avd.)Abstract : In this paper we study local rigidity of actions of simply connected Lie groups. In particular, we apply the Nash-Moser inverse function theorem to give sufficient conditions for the action of a simply connected Lie group to be locally rigid. Let $G$ be a Lie group, $H < G$ a simply connected subgroup and $\Gamma < G$ a cocompact lattice. READ MORE
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2. Constructing Multidimensional Dynamical Systems with Positive Lyapunov Exponents
University essay from KTH/Matematik (Avd.)Abstract : 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. READ MORE