Essays about: "quadratic maps"

Found 4 essays containing the words quadratic maps.

  1. 1. On the dynamics of a family of critical circle endomorphisms

    University essay from KTH/Matematik (Avd.)

    Author : Nils Hemmingsson; [2019]
    Keywords : Dynamical systems; Hyperbolic dynamics; Non-uniform hyperbolicity; Lyapunov exponents; Dynamiska system; Hyperboliska system; Icke-likformig hyperbolicitet; Lyapunovexponenter;

    Abstract : In this thesis we study two seperate yet related three parameter-families of continuously differentiable maps from the unit circle to unit circle which have a single critical point. For one of the families we show that there is a set of positive measure of parameters such that there is a set of positive measure for which all points in the latter set, the derivative experiences exponential growth. READ MORE

  3. 2. Modelling the Number of Periodic Points of Quadratic Maps Using Random Maps

    University essay from Linnéuniversitetet/Institutionen för matematik (MA)

    Author : Jakob Streipel; [2017]
    Keywords : arithmetic dynamical systems; periodic points; quadratic maps; random maps;

    Abstract : Since the introduction of Pollard's rho method for integer factorisation in 1975 there has been great interest in understanding the dynamics of quadratic maps over finite fields. One avenue for this, and indeed the heuristic on which Pollard bases the proof of the method's efficacy, is the idea that quadratic maps behave roughly like random maps. READ MORE

  4. 3. Compaction of Lattice Data : Improved Efficiency in Nuclear Core Calculation

    University essay from Uppsala universitet/Institutionen för fysik och astronomi

    Author : Hanna Lundgren; [2017]
    Keywords : nuclear physics; nuclear core calculation; PHOENIX; POLCA; Westinghouse; cross sections;

    Abstract : Westinghouse Electric Sweden AB’s three-dimensional reactor core simulation program POLCA uses a large number of tables containing various fuel dependent data, such as cross sections, pin power maps with power distribution etc. POLCA uses quadratic and linear interpolation to extract the values needed for the simulation. READ MORE

  5. 4. On the Number of Periodic Points of Quadratic Dynamical Systems Modulo a Prime

    University essay from Linnéuniversitetet/Institutionen för matematik (MA)

    Author : Jakob Streipel; [2015]
    Keywords : Discrete dynamical systems; Quadratic maps; Periodic points;

    Abstract : We investigate the number of periodic points of certain discrete quadratic maps modulo prime numbers. We do so by first exploring previously known results for two particular quadratic maps, after which we explain why the methods used in these two cases are hard to adapt to a more general case. READ MORE