Search for dissertations about: "Strange attractor"

Found 3 swedish dissertations containing the words Strange attractor.

2. 1. A Numerical Study of the Lorenz and Lorenz-Stenflo Systems

   Author : Tommy Ekola; Michael Benedicks; Robert MacKay; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Warwick Tucker; Strange attractor; Lorenz equations; Lorenz-Stenflo equations; Lorenz attractor; Lorenz-Stenflo attractor; Dynamical systems; Normal form theory; MATEMATIK; MATHEMATICS; MATEMATIK;

   Abstract : In 1998 the Swedish mathematician Warwick Tucker used rigorous interval arithmetic and normal form theory to prove the existence of a strange attractor in the Lorenz system. In large parts, that proof consists of computations implemented and performed on a computer. READ MORE

4. 2. The Lorenz attractor exists

   Author : Warwick Tucker; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; MATEMATIK; MATHEMATICS; MATEMATIK; matematik; Mathematics;

   Abstract : We prove that the Lorenz equations support a strange attractor, as conjectured by Edward Lorenz in 1963. We also prove that the attractor is robust, i.e., it persists under small perturbations of the coefficients in the underlying differential equations. READ MORE

5. 3. On the breakdown of regularity of invariant curves in quasi-periodically forced systems

   Author : Thomas Ohlson Timoudas; Kristian Bjerklöv; Joaquim Puig; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Dynamical systems; strange attractors; Schrödinger cocycles;

   Abstract : In this thesis we study the process of torus collisions in one-parameter families of quasi-periodically forced dynamical systems. Specifically, we study the process whereby two invariant curves (homeomorphic to circles), one attracting and one repelling, bifurcate into a strange non-chaotic attractor. READ MORE