Sökning: "Hyperbolic Systems"

Visar resultat 1 - 5 av 14 uppsatser innehållade orden Hyperbolic Systems.

  1. 1. Investigation of soliton equations with integral operators and their dynamics

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :Ruben Vikars Hall; Carl Svennerstedt; [2023]
    Nyckelord :Soliton; Calogero-Moser-Sutherland system; Lax pair; Hilbert transform; Szegö projection; Benjamin-Ono equation; Non-chiral Intermediate long-wave equation; Szegö equation;

    Sammanfattning : We present Lax pairs and functions called Lax functions corresponding to Calogero- Moser-Sutherland (CMS) systems. We present the Benjamin-Ono (BO) equation and a pole ansatz to the BO equation, constructed from a specific type of Lax function called a special Lax function corresponding to Rational and Trigonometric CMS systems. LÄS MER

  3. 2. Application of Physics-Informed Neural Networks for Galaxy Dynamics

    Master-uppsats, Linnéuniversitetet/Institutionen för fysik och elektroteknik (IFE)

    Författare :Lucas Barbier; [2023]
    Nyckelord :;

    Sammanfattning : Developing efficient and accurate numerical methods to simulate dynamics of physical systems has been an everlasting challenge in computational physics. Physics-Informed Neural Networks (PINNs) are neural networks that encode laws of physics into their structure. LÄS MER

  4. 3. On a novel soliton equation, its integrability properties, and its physical interpretation

    Master-uppsats, KTH/Fysik

    Författare :Alexander Fagerlund; [2022]
    Nyckelord :Calogero-Moser systems; Conservation laws; Elliptic dynamics; Fluid dynamics; Hamiltonian mechanics; Hyperbolic dynamics; Integrability; Lax pairs; Pole ansatz; Riemann-Hilbert problems; Solitons; Bevarandelagar; Calogero-Mosersystem; Elliptisk dynamik; Fluiddynamik; Hamiltonmekanik; Hyperbolisk dynamik; Integrabilitet; Laxpar; Polansats; Riemann-Hilbertproblem; Solitoner;

    Sammanfattning : In the present work, we introduce a never before studied soliton equation called the intermediate mixed Manakov (IMM) equation. Through a pole ansatz, we prove that the equation has N-soliton solutions with pole parameters governed by the hyperbolic Calogero-Moser system. LÄS MER

  5. 4. Performance Analysis of Various Activation Functions Using LSTM Neural Network For Movie Recommendation Systems

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

    Författare :Philip Song; André Brogärd; [2020]
    Nyckelord :;

    Sammanfattning : The growth of importance and popularity of recommendations system has increased in many various areas. This thesis focuses on recommendation systems for movies. Recurrent neural networks using LSTM blocks have shown some success for movie recommendation systems. LÄS MER

  7. 5. Diophantine Approximation and Dynamical Systems

    Master-uppsats, Lunds universitet/Matematik LTH

    Författare :Antony Lee; [2020]
    Nyckelord :diophantine approximation; continued fractions; sturmian sequences; hyperbolic geometry; Mathematics and Statistics;

    Sammanfattning : The subject of diophantine approximation is a classical mathematic problem, as old as it is well studied. There are many different texts describing its connection to more modern areas of study, but few which do so with the aim of exploring the connections themselves. LÄS MER