700.371 (14S) Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing

Sommersemester 2014

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Erster Termin der LV
03.03.2014 12:00 - 14:00 L4.1.02 ICT-Lab Off Campus
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Überblick

Lehrende/r
LV-Titel englisch Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing
LV-Art Kurs (prüfungsimmanente LV )
Semesterstunde/n 2.0
ECTS-Anrechnungspunkte 3.0
Anmeldungen 9 (30 max.)
Organisationseinheit
Unterrichtssprache Deutsch
LV-Beginn 01.03.2014

Zeit und Ort

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LV-Beschreibung

Inhalt/e

Fundamentals of dynamical systems  Analysis methods for nonlinear dynamical systems o Perturbation method o The mean method o Multiple time scales method o Newton Raphson method o Lyapunov exponent o Lyapunov function o Lagrangian function o Routh Hurwitz theorem o The Shilnikov theorem o Poincaré Map o Bifurcation o Basins of attraction o Chaos  Asymptotic stability analysis (Routh- Hurwitz) and applications to concrete mathematical models  Global stability analysis (Lyapunov) and applications to concrete mathematical models  Analytical solutions of linear and/or Nonlinear discrete equations  Graphical solutions of linear and/or Nonlinear discrete equations  Analytical solutions of Nonlinear and Stiff Ordinary differential Equations  Analytical Solution of Partial Differential Equations  Basics of Finite Element  Numerical solution of Nonlinear Ordinary differential Equations  Numerical solution of Partial differential Equations  Background of the Oscillatory theory  Bifurcation analysis and applications to concrete mathematical models  Application of the oscillator theory in transportation (traffic control, routing, Image processing, etc) Fundamentals of Cellular Neural Networks (CNN)  Basics of CNN  Application of the CNN paradigm for solving Ordinary Differential Equations in transportation  Application of the CNN paradigm for solving Partial Differential Equations in transportation

Prüfungsinformationen

Im Fall von online durchgeführten Prüfungen sind die Standards zu beachten, die die technischen Geräte der Studierenden erfüllen müssen, um an diesen Prüfungen teilnehmen zu können.

Beurteilungsschema

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Position im Curriculum

  • Masterstudium Information Technology (SKZ: 489, Version: 06W.3)
    • Fach: Technischer Schwerpunkt (Intelligent Transportation Systems) (Pflichtfach)
      • 1.4-1.5 Kurs oder Labor ( 4.0h KU / 6.0 ECTS)
        • 700.371 Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h KU / 3.0 ECTS)
  • Masterstudium Information Technology (SKZ: 489, Version: 06W.3)
    • Fach: Technische Ergänzung II (Pflichtfach)
      • 3.4-3.5 Kurs oder Labor ( 4.0h KU / 6.0 ECTS)
        • 700.371 Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h KU / 3.0 ECTS)
  • Masterstudium Information Technology (SKZ: 489, Version: 06W.3)
    • Fach: Informationstechnische Grundlagen (Pflichtfach)
      • 3.1'-3.3' Vorlesung und Kurs ( 12.0h VO, KU / 18.0 ECTS)
        • 700.371 Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h KU / 3.0 ECTS)
  • Masterstudium Information Technology (SKZ: 489, Version: 06W.3)
    • Fach: Research Track (Methodischer Schwerpunkt) (Pflichtfach)
      • 4.2'-4.3' Theoretisch-Methodische Lehrveranstaltung I/II ( 0.0h VO/VK/VS/KU/PS / 6.0 ECTS)
        • 700.371 Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h KU / 3.0 ECTS)
  • Masterstudium Technische Mathematik (SKZ: 401, Version: 13W.1)
    • Fach: Informationstechnik (Wahlfach)
      • Nonlinear Dynamics — Modeling, Simulation and Neuro-Computing ( 2.0h VK / 4.0 ECTS)
        • 700.371 Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h KU / 3.0 ECTS)

Gleichwertige Lehrveranstaltungen im Sinne der Prüfungsantrittszählung

Wintersemester 2023/24
  • 700.383 KS Lab: Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h / 3.0ECTS)
Wintersemester 2022/23
  • 700.383 KS LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h / 3.0ECTS)
Wintersemester 2021/22
  • 700.383 KS LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h / 3.0ECTS)
Wintersemester 2020/21
  • 700.383 KS LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h / 3.0ECTS)
Wintersemester 2019/20
  • 700.383 KS LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h / 3.0ECTS)
Wintersemester 2018/19
  • 700.383 KS LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h / 3.0ECTS)
Wintersemester 2017/18
  • 700.383 KS LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h / 3.0ECTS)
Sommersemester 2017
  • 700.383 KS LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h / 3.0ECTS)
Sommersemester 2016
  • 700.383 KS LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h / 3.0ECTS)
Sommersemester 2013
  • 700.371 KU Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h / 3.0ECTS)