Sökning: "Hyperbolic Dynamics"
Visar resultat 1 - 5 av 20 avhandlingar innehållade orden Hyperbolic Dynamics.
1. Dynamics of Smooth Hyperbolic Systems with Singularities
Sammanfattning : 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. LÄS MER
2. Numerical Methods for Wave Propagation : Analysis and Applications in Quantum Dynamics
Sammanfattning : 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. LÄS MER
3. Arithmetic and Hyperbolic Structures in String Theory
Sammanfattning : 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). LÄS MER
4. Nonlinear dynamics in transitional wall-bounded flows
Sammanfattning : 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. LÄS MER
5. Critical recurrence in real quadratic and rational dynamics
Sammanfattning : 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). LÄS MER