# 700.371 (15S) Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing

## Sommersemester 2015

Anmeldefrist abgelaufen.

Erster Termin der LV
03.03.2015 18:00 - 20:00 , L4.1.02 ICT-Lab
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## Überblick

Lehrende/r
LV-Titel englisch
Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing
LV-Art
Vorlesung-Kurs (prüfungsimmanente LV )
Semesterstunde/n
2.0
ECTS-Anrechungspunkte
4.0
Anmeldungen
16 (30 max.)
Organisationseinheit
Unterrichtssprache
Englisch
LV-Beginn
17.03.2015
eLearning

## Inhalt/e

1-Fundamentals of dynamical systems 2-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 3-Asymptotic stability analysis (Routh- Hurwitz) and applications to concrete mathematical models 4-Global stability analysis (Lyapunov) and applications to concrete mathematical models 5-Analytical solutions of linear and/or Nonlinear discrete equations 6-Graphical solutions of linear and/or Nonlinear discrete equations 7-Analytical solutions of Nonlinear and Stiff Ordinary differential Equations 8-Analytical Solution of Partial Differential Equations 9-Basics of Finite Element 10-Numerical solution of Nonlinear Ordinary differential Equations 11-Numerical solution of Partial differential Equations 12-Background of the Oscillatory theory 13-Bifurcation analysis and applications to concrete mathematical models 14-Application of the oscillator theory in transportation (traffic control, routing, Image processing, etc) 15-Fundamentals of Cellular Neural Networks (CNN)  Basics of CNN 16-Application of the CNN paradigm for solving Ordinary Differential Equations in transportation  17-Application of the CNN paradigm for solving Partial Differential Equations in transportation

## Position im Curriculum

• Masterstudium Information Technology (SKZ: 489, Version: 06W.3)
• Fach: Technischer Schwerpunkt (Intelligent Transportation Systems) (Pflichtfach)
• 1.1-1.3 Vorlesung mit Kurs oder Vorlesung mit Seminar ( 6.0h VK/VS / 12.0 ECTS)
• 700.371 Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h VK / 4.0 ECTS)
• 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 VK / 4.0 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 VK / 4.0 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 VK / 4.0 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 VK / 4.0 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 VK / 4.0 ECTS)

## Gleichwertige Lehrveranstaltungen im Sinne der Prüfungsantrittszählung

Wintersemester 2019/20
• 700.371 VC Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h / 4.0ECTS)
Wintersemester 2018/19
• 700.371 VC Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h / 4.0ECTS)
Wintersemester 2017/18
• 700.371 VC Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h / 4.0ECTS)
Sommersemester 2017
• 700.371 VC Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h / 4.0ECTS)
Sommersemester 2016
• 700.371 VC Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h / 4.0ECTS)
Sommersemester 2014
• 700.371 KU 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)