700.383 (17S) LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing

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Sommersemester 2017

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First course session
02.03.2017 12:00 - 14:00 L4.1.02 ICT-Lab Off Campus

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Overview

Lecturer

Course title german

LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing

Type

Course (continuous assessment course )

Hours per Week

2.0

ECTS credits

3.0

Registrations

Organisational unit

Institut für Intelligente Systemtechnologien

Language of instruction

no language of instruction was specified

Course begins on

02.03.2017

eLearning

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Time and place

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Course Information

English

Intended learning outcomes

This lecture is mainly focused on the numerical simulation (using MATLAB/SIMULINK) and ANALOG COMPUTING (using electronic circuits) of several mathematical models of Nonlinear dynamical systems (NDS), which are generally expressed in form of ordinary differential equations ODES and/or partial differential equations PDES (e.g. case of continuous NDS), or in form of sets of coupled algebraic equations (e.g. case of discrete NDS). The ODEs and PDEs at stake are identical to those used/considered in the theoretical part of this lecture (see LV 700.371 (17S)). All ODEs and PDEs under investigation are selected in the field on engineering (e.g. in Mechanics, Electro-mechanics, Control systems, Electronics, Transportation, Telematics, etc.) as typical models of the dynamics of specific systems, scenarios, or phenomena. For each of the ODEs and PDEs models, the numerical (MATLAB/SIMULINK) and experimental (ANALOG COMPUTING) studies are considered simultaneously and several numerical and experimental methods are proposed. Using these methods, numerical and experimental solutions of the mathematical models are obtained. The proof of concepts is based on the comparison of results obtained by the three methods: the analytical methods presented in LV 700.371 (17S) Nonlinear Dynamics -- Modeling, Simulation and Neuro-Computing, and the numerical, and experimental methods presented in this Lecture (LV 700.383 (17S) LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing). The Lecture also proposes numerical methods for solving mathematical models of discrete nonlinear dynamical systems expressed in form of coupled algebraic equations. Finally numerical algorithms are developed for the analysis of oscillatory states/behavior, equilibrium state, stability, bifurcation, and chaos detection.

The general expectation regarding the knowledge to be provided/acquired is as follows:

Mastering of numerical methods for solving linear and nonlinear ODEs and PDEs used as mathematical models of continuous nonlinear dynamical systems (CNDS).
Mastering of the analog computing technique (i.e. use of electronic circuits) for solving nonlinear ODEs.
Mastering of numerical methods for solving DNDS (discrete nonlinear dynamical systems).
Mastering of numerical methods for the stability analysis of both DNDS (discrete nonlinear dynamical systems) and CNDS (continuous nonlinear dynamical systems).
Mastering of numerical algorithms/codes for the detection of chaotic dynamics in NDS (nonlinear dynamical systems).
Mastering of numerical algorithms/codes for bifurcation analysis in NDS.
Mastering of the design and implementation of electronic circuits for solving nonlinear ordinary differential equations (ODEs) and Partial differential equations (PDEs).

Very Important: Many projects will be proposed in accordance to all seven points above in order to check whether the main/key objectives of this Lecture (LV 700.383 (17S) are fulfilled.

Literature

[1]- Peter J. Olver, “Introduction to Partial Differential Equations,” Springer, New York, 2016

[2]- William E. Schiesser, and Graham W. Grifﬁths “A Compendium of Partial Differential Equation Models: Method of Lines Analysis with Matlab,” Cambridge University Press, 2006

[3]- Bernard Zeigler, Tag Kim, and Herbert Praehofer, “Theory of Modeling and Simulation: Integrating Discrete Event and Continuous Complex Dynamic Systems,” Academic Press, USA, 2000

[4]- Michael Schäfer, “Computational Engineering — Introduction to Numerical Methods,” Springer, 2006

[5]- L.O. Chua, T. Roska, “Cellular Neural Networks and Visual Computing: Foundations and Applications,” Cambridge University Press, 2002.

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

Masterstudium Information and Communications Engineering (ICE) (SKZ: 488, Version: 15W.1)
- Subject: Information and Communications Engineering: Supplements (NC, ASR) (Compulsory elective)
  - Wahl aus dem LV-Katalog (Anhang 4) ( 0.0h VK, VO, KU / 14.0 ECTS)
    - 700.383 LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h KS / 3.0 ECTS)

Masterstudium Information and Communications Engineering (ICE) (SKZ: 488, Version: 15W.1)
- Subject: Technical Complements (NC, ASR) (Compulsory elective)
  - Wahl aus dem LV-Katalog (Anhang 5) ( 0.0h VK, VO, KU / 12.0 ECTS)
    - 700.383 LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h KS / 3.0 ECTS)

Masterstudium Information and Communications Engineering (ICE) (SKZ: 488, Version: 15W.1)
- Subject: Information and Communications Engineering: Supplements (NC, ASR) (Compulsory elective)
  - Wahl aus dem LV-Katalog (Anhang 4) ( 0.0h VK, VO, KU / 14.0 ECTS)
    - 700.383 LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h KS / 3.0 ECTS)

Masterstudium Information and Communications Engineering (ICE) (SKZ: 488, Version: 15W.1)
- Subject: Technical Complements (NC, ASR) (Compulsory elective)
  - Wahl aus dem LV-Katalog (Anhang 5) ( 0.0h VK, VO, KU / 12.0 ECTS)
    - 700.383 LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h KS / 3.0 ECTS)

Masterstudium Information and Communications Engineering (ICE) (SKZ: 488, Version: 15W.1)
- Subject: Autonomous Systems and Robotics: Advanced (ASR) (Compulsory elective)
  - Wahl aus dem LV-Katalog (siehe Anhang 3) ( 0.0h VK, VO / 30.0 ECTS)
    - 700.383 LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h KS / 3.0 ECTS)

Masterstudium Information and Communications Engineering (ICE) (SKZ: 488, Version: 15W.1)
- Subject: Autonomous Systems and Robotics (WI) (Compulsory elective)
  - Wahl aus dem LV-Katalog (siehe Anhang 3) ( 0.0h VK, VO / 30.0 ECTS)
    - 700.383 LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h KS / 3.0 ECTS)

Masterstudium Information and Communications Engineering (ICE) (SKZ: 488, Version: 15W.1)
- Subject: Free Electives (Optional subject)
  - Free Electives ( 0.0h XX / 6.0 ECTS)
    - 700.383 LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h KS / 3.0 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)
    - 700.383 LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h KS / 3.0 ECTS)

Master's degree programme Information Technology (SKZ: 489, Version: 06W.3)
- Subject: Additional Technical Module I (Compulsory subject)
  - 2.3 Lecture with Exercises or Seminar ( 2.0h VK/SE / 4.0 ECTS)
    - 700.383 LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h KS / 3.0 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)
    - 700.383 LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h KS / 3.0 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)
    - 700.383 LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h KS / 3.0 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)
    - 700.383 LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h KS / 3.0 ECTS)

Equivalent courses for counting the examination attempts

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 2016

700.383 KS LAB on Nonlinear Dynamics - Modeling, Simulation and Neuro-Computing (2.0h / 3.0ECTS)

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)