COURSE UNIT TITLE

: CHAOS AND FRACTALS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
EEE 6006 CHAOS AND FRACTALS ELECTIVE 3 0 0 8

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

ASSOCIATE PROFESSOR SERKAN GÜNEL

Offered to

ELECTRICAL AND ELECTRONICS ENGINEERING (ENGLISH)
ELECTRICAL AND ELECTRONICS ENGINEERING NON -THESIS (EVENING PROGRAM) (ENGLISH)
ELECTRICAL AND ELECTRONICS ENGINEERING (ENGLISH)
ELECTRICAL AND ELECTRONICS ENGINEERING (ENGLISH)

Course Objective

To objective is to extend the knowledge on nonlinear signals and systems to cover chaotic systems

Learning Outcomes of the Course Unit

1   To be able to use chaotic system analysis methods including bifurcation analysis.
2   To be able to calculate fractal dimensions, information dimensions
3   To be able to use elements of fractal geometry in system and signal analysis
4   To be able to determine local bifurcations in dynamical systems
5   To be able to analze global bifuractions of dynamical systems

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

EEE 5102 - Nonlinear Systems Theory
EEE 5503 - Linear Systems Theory I

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction
2 Geometric Point of view of Dynamical Systems
3 Geometry of dynamical systems
4 Geometry of dynamical systems 2
5 Local Bifurcations
6 Local Bifurcations 2
7 Global bifurcations and Chaos
8 Midterm Examinations
9 Global bifurcations and Chaos 2
10 Global bifurcations and Chaos 3
11 Fractals
12 Fractals 2
13 Chaotic Dynamics on Fractals
14 Chaotic Dynamics on Fractals 2

Recomended or Required Reading

1. Wiggings S., Int. to Applied Nonlinear Dynamical Systems and Chaos, Springer,1991
2. Barnsley M.F., Fractals Evertwhere, AP professional, 1993
3. Seydel R, Practical Bifurcation and Stability analysis, Springer,1994
4. Shilnikov L.P., Shilnikov A.L., Turaev D.V., and Chua L.O., Methods of Qualitative theory in Nonlinear Dynamics I-II, 1998

Planned Learning Activities and Teaching Methods

Lecture+Homeworks+Exam

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FIN FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.50 + FIN * 0.50
4 RST RESIT
5 FCGR FINAL COURSE GRADE MTE * 0.50 + RST * 0.50


Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

To be announced.

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 3 42
Preparations before/after weekly lectures 10 4 40
Preparation for midterm exam 1 25 25
Preparation for final exam 1 25 25
Preparing assignments 10 6 60
Midterm 1 4 4
Final 1 4 4
TOTAL WORKLOAD (hours) 200

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.151212221
LO.251212221
LO.351212221
LO.4
LO.5

CONTACT INFORMATION
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Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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