Essays about: "linear dynamical systems"

Showing result 1 - 5 of 26 essays containing the words linear dynamical systems.

  1. 1. An Introduction to Hitchin Systems

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Author : Manuel Neumayer; [2023]
    Keywords : Mathematics and Statistics;

    Abstract : This thesis aims to introduce the tools that are needed to understand — and historically led to the inception of — Hitchin systems. We lay out a basic theory of Hamiltonian systems on symplectic manifolds, and prove the Liouville-Arnold theorem, which states that integrable Hamiltonian systems admit coordinates in which their solution is basically linear. READ MORE

  3. 2. Perron-Frobenius' Theory and Applications

    University essay from Linköpings universitet/Algebra, geometri och diskret matematik; Linköpings universitet/Tekniska fakulteten

    Author : Karl Eriksson; [2023]
    Keywords : Positive matrices; nonnegative matrices; Perron-Frobenius; linear dynamical systems; Leslie matrices; Markov chain; Google s PageRank algorithm; Positiva matriser; icke-negativa matriser; Perron-Frobenius; linjära dynamiska system; Leslie matris; Markov-kedja; Google s PageRank algoritm;

    Abstract : This is a literature study, in linear algebra, about positive and nonnegative matrices and their special properties. We say that a matrix or a vector is positive/nonnegative if all of its entries are positive/nonnegative. First, we study some generalities and become acquainted with two types of nonnegative matrices; irreducible and reducible. READ MORE

  4. 3. Dynamics for the special class of quantum master equations

    University essay from Linnéuniversitetet/Institutionen för matematik (MA)

    Author : Locatelli Pietro; [2022]
    Keywords : superoperators; density matrices; von Neumann entropy; camel-like entropy; steady states; open quantum systems; dynamical semigroups; decoherence free subspaces;

    Abstract : The paper is an analysis of a special class of the master equations such that the Dissipation superoperator is L(ρ) = [M, [M, ρ]], where M is an hermitian andunitary operator and ρ a density matrix. It mainly investigates the dynamics ofρ and its properties such as boundness of the operators of the master equation,the eigenvalues of these operators, the purity of the states, the steady states. READ MORE

  5. 4. Analysis and modelling of grooming behaviour of mice

    University essay from KTH/Fysik

    Author : Wilhelm Sjöstedt; [2022]
    Keywords : Theoretical physics; Neuroscience; Embedded systems; Complex systems; Teoretisk fysik; Neurovetenskap; Inbyggda system; Komplexa system;

    Abstract : Mapping dynamical motion to neural brain activity is one of many challenges in the field of neuroscience. Further knowledge in this area could provide useful insights in fields such as medical treatment of brain disorders. READ MORE

  6. 5. Models of the Universe : An analysis of the asymptotic behaviour of non-linear dynamical systems

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Noa Vikman; Gustav Romare; [2021]
    Keywords : ;

    Abstract : In this thesis we present some relevant theory, and then we rigorously investigate the existence intervals and the asymptotic behaviors of three cosmological models. The first model we investigate is based on the Friedmann-Lemaître-Robertson-Walker (FLRW) metric, which is consistent with the cosmological principle. READ MORE