Search for dissertations about: "periodic points"

Showing result 1 - 5 of 42 swedish dissertations containing the words periodic points.

2. 1. Ramification numbers and periodic points in arithmetic dynamical systems

   Author : Jonas Nordqvist; Karl-Olof Lindahl; Johan Öinert; Linnéuniversitetet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; ramification numbers; local fields; arithmetic dynamics; periodic points; Nottingham group; Mathematics; Matematik;

   Abstract : The field of discrete dynamical systems is a rich and active field of research within mathematics, with applications ranging from biology to computer science, finance, engineering and various others. In this thesis properties of certain discrete dynamical systems are studied together with number theoretic properties of the functions defining these systems. READ MORE

4. 2. Nonlinear Approaches to Periodic Signal Modeling

   Author : Emad Abd-Elrady; Torsten Söderström; Torbjörn Wigren; Jonas Sjöberg; Uppsala universitet; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Cramer-Rao bounds; frequency estimation; identification; limit cycle; nonlinear systems; periodic signals; Wiener model structure; Signal processing; Signalbehandling; Signalbehandling; Signal Processing;

   Abstract : Periodic signal modeling plays an important role in different fields. The unifying theme of this thesis is using nonlinear techniques to model periodic signals. The suggested techniques utilize the user pre-knowledge about the signal waveform. This gives these techniques an advantage as compared to others that do not consider such priors. READ MORE

5. 3. Residue fixed point index and wildly ramified power series

   Author : Jonas Nordqvist; Karl-Olof Lindahl; Robert Laurent Benedetto; Linnéuniversitetet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; wildly ramified power series; residue fixed point index; formal invariant; iterative residue; ramification numbers; non-archimedean; discrete dynamical systems; arithmetic dynamics; periodic points; Nottingham group; Mathematics; Matematik;

   Abstract : This thesis concerns discrete dynamical systems. These are systems where the dynamics is modeled by iterated functions. There are several applications of discrete dynamical system e.g. READ MORE

6. 4. Algebraic Dynamical Systems, Analytical Results and Numerical Simulations

   Author : Robert Nyqvist; Andrei Khrennikov; Vladimir Anashin; Växjö universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; discrete dynamical systems; p-adic numbers; finite fields; number of periodic points; Chebotarev s Density Theorem; computational number theory; MATHEMATICS; MATEMATIK;

   Abstract : In this thesis we study discrete dynamical system, given by a polynomial, over both finite extension of the fields of p-adic numbers and over finite fields. Especially in the p-adic case, we study fixed points of dynamical systems, and which elements that are attracted to them. We show with different examples how complex these dynamics are. READ MORE

7. 5. Modeling and Linear Quadratic Optimal Control of Wind Turbines

   Author : Thommy Ekelund; Chalmers tekniska högskola; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; periodic system; structural dynamics; yaw control; variable speed; wind turbines; active stall; estimation; LQG; identification;

   Abstract : Control can improve the performance of wind turbines by enhancing the energy capture and reducing dynamic, as well as static, loads. There are several possible configurations of the control system, depending on the available actuators. READ MORE