Sökning: "Lie equations"

Visar resultat 1 - 5 av 13 uppsatser innehållade orden Lie equations.

  1. 1. Extended Kalman Filter as Observer for a Hydrofoiling Watercraft : Modelling of a new hydrofoiling concept, based on the Spherical Inverted Pendulum Model

    Master-uppsats, KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Författare :Adam Thålin; [2022]
    Nyckelord :Extended Kalman Filter; Hydrofoiling; Spherical Inverted Pendulum; Sensor Fusion; Simulink; Bärplan; Extended Kalman Filter; Farkostteknik; Inverterad Pendel; Sensorfusion; Sex frihetsgrader; Simulink;

    Sammanfattning : Hydrofoiling in general has the potential to revolutionize watercraft in the future since it allows smoother and faster transport on water with less energy consumption than traditional planning hulls. Even if the concept of hydrofoiling has been around since the last century, development in control theory and material science together with increased computing power has led to a growing interest for the technology. LÄS MER

  3. 2. Spacetime as a Hamiltonian Orbit and Geroch's Theorem on the Existence of Fermions

    Kandidat-uppsats, Uppsala universitet/Institutionen för fysik och astronomi

    Författare :Viktor Bergstedt; [2020]
    Nyckelord :3 1; ADM; black hole; canonical quantization; Cauchy surface; causality; differential geometry; Einstein-Hilbert action; general relativity; Geroch; globally hyperbolic; Hamilton s equations; numerical relativity; parallelizable; SL 2; C ; spacetime; spinor; spin structure; SO 1; 3 ; Stiefel-Whitney class; tetrad; topology;

    Sammanfattning : Over a century since its inception, general relativity continues to lie at the heart of some of the most researched topics in theoretical physics. It seems likely that the coveted solutions to problems like quantum gravity are to be found in an extension of general relativity, one which may only be visible in an alternate formulation of the theory. LÄS MER

  4. 3. A Diagrammatic Study of Gauge and Gravity Amplitude Relations

    Kandidat-uppsats, Uppsala universitet/Teoretisk fysik

    Författare :Micah Tegevi; [2018]
    Nyckelord :;

    Sammanfattning : We review modern methods of scattering amplitude computations, beginning with color-decomposition that decomposes the amplitude into a color-dependentand a color-independent part of partial color-ordered amplitudes. We then show how a full amplitude can be described through the color-factor, propagator structure, and kinematic numerator of cubic color-ordered diagrams. LÄS MER

  5. 4. Symmetry methods and some nonlinear differential equations : Background and illustrative examples

    Kandidat-uppsats, Karlstads universitet/Institutionen för matematik och datavetenskap (from 2013)

    Författare :Frida Granström; [2017]
    Nyckelord :Lie symmetries; nonlinear ordinary differential equations; reduction of order; invariant solutions;

    Sammanfattning : Differential equations, in particular the nonlinear ones, are commonly used in formulating most of the fundamental laws of nature as well as many technological problems, among others. This makes the need for methods in finding closed form solutions to such equations all-important. LÄS MER

  7. 5. Equivalence Group of Lie's Second-Order Equation of Type III

    Master-uppsats, Blekinge Tekniska Högskola/Sektionen för ingenjörsvetenskap

    Författare :Dai Jiayuan; [2012]
    Nyckelord :equivalence transformation; second-order ordinary differential equation; principal Lie algebra;

    Sammanfattning : Based on symmetry and invariance principles, Lie group analysis is the only systematic method for solving nonlinear differential equations analytically. Nonlinear second-order ordinary differential equations admitting two-dimensional Lie algebras can be transformed into one of the four types of canonical forms via Lie's integration method. LÄS MER