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

Sommersemester 2015

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First course session
03.03.2015 18:00 - 20:00 L4.1.02 ICT-Lab Off Campus
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Overview

Lecturer
Course title german Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing
Type Lecture - Colloquia (continuous assessment course )
Hours per Week 2.0
ECTS credits 4.0
Registrations 16 (30 max.)
Organisational unit
Language of instruction English
Course begins on 17.03.2015

Time and place

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Course Information

Course content

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

Examination information

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.

Grading scheme

Grade / Grade grading scheme

Position in the curriculum

  • Master's degree programme Information Technology (SKZ: 489, Version: 06W.3)
    • Subject: Major Field of Specialization (Intelligent Transportation Systems) (Compulsory subject)
      • 1.1-1.3 Lecture with Exercises or Lecture with Seminar ( 6.0h VK/VS / 12.0 ECTS)
        • 700.371 Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h VK / 4.0 ECTS)
  • Master's degree programme Information Technology (SKZ: 489, Version: 06W.3)
    • Subject: Major Field of Specialization (Intelligent Transportation Systems) (Compulsory subject)
      • 1.4-1.5 Exercises or Lab ( 4.0h KU / 6.0 ECTS)
        • 700.371 Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h VK / 4.0 ECTS)
  • Master's degree programme Information Technology (SKZ: 489, Version: 06W.3)
    • Subject: Additional Technical Module II (Compulsory subject)
      • 3.4-3.5 Exercises or Lab ( 4.0h KU / 6.0 ECTS)
        • 700.371 Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h VK / 4.0 ECTS)
  • Master's degree programme Information Technology (SKZ: 489, Version: 06W.3)
    • Subject: Fundamentals of Information Technology (Compulsory subject)
      • 3.1'-3.3' Lecture and Exercises ( 12.0h VO, KU / 18.0 ECTS)
        • 700.371 Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h VK / 4.0 ECTS)
  • Master's degree programme Information Technology (SKZ: 489, Version: 06W.3)
    • Subject: Research Track (Methodological focus) (Compulsory subject)
      • 4.2'-4.3' Theoretical methodological courses 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)
  • Master's degree programme Technical Mathematics (SKZ: 401, Version: 13W.1)
    • Subject: Informationstechnik (Compulsory elective)
      • 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)

Equivalent courses for counting the examination attempts

Wintersemester 2023/24
  • 700.371 VC Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h / 4.0ECTS)
Wintersemester 2022/23
  • 700.371 VC Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h / 4.0ECTS)
Wintersemester 2021/22
  • 700.371 VC Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h / 4.0ECTS)
Wintersemester 2020/21
  • 700.371 VC Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing (2.0h / 4.0ECTS)
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)