Search for dissertations about: "Hyperbolic Dynamics"
Showing result 1 - 5 of 19 swedish dissertations containing the words Hyperbolic Dynamics.
-
1. Dynamics of Smooth Hyperbolic Systems with Singularities
Abstract : This thesis is about dynamics of piecewise hyperbolic maps on bounded sets in the plane and on the interval. It is based on the following papers: T. Persson, A piecewise hyperbolic map with absolutely continuous invariant measure, Dynamical Systems: An International Journal, 21:3 (2006), 363--378 T. READ MORE
-
2. Numerical Methods for Wave Propagation : Analysis and Applications in Quantum Dynamics
Abstract : We study numerical methods for time-dependent partial differential equations describing wave propagation, primarily applied to problems in quantum dynamics governed by the time-dependent Schrödinger equation (TDSE). We consider both methods for spatial approximation and for time stepping. READ MORE
-
3. Arithmetic and Hyperbolic Structures in String Theory
Abstract : This thesis consists of an introductory text followed by two separate parts which may be read independently of each other. In Part I we analyze certain hyperbolic structures arising when studying gravity in the vicinity of spacelike singularities (the BKL-limit). READ MORE
-
4. Nonlinear dynamics in transitional wall-bounded flows
Abstract : This thesis focuses on numerical studies of subcritical transition to turbulence in shear flows. The thesis employs a framework based on nonlinear dynamics in the subsequent studies. The geometrical approach to subcritical transition pivots the concepts of edge manifold and edge state. READ MORE
-
5. Critical recurrence in real quadratic and rational dynamics
Abstract : In this thesis we study the dynamics of real quadratic functions on the interval, and rational functions on the Riemann sphere. The problems we are considering are concerned with the recurrent nature of the critical orbit(s). READ MORE