COURSE INTRODUCTION AND APPLICATION INFORMATION

Course Name
Nonlinear Dynamics and Chaos Theory
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
PHYS 310
Fall/Spring
2
2
3
5
Prerequisites
None
Course Language
English
Course Type
Elective
Course Level
First Cycle
Mode of Delivery Online
Teaching Methods and Techniques of the Course Discussion
Problem Solving
Lecture / Presentation
Course Coordinator -
Course Lecturer(s)
Assistant(s)
Course Objectives The aim of this course is to introduce and to model nonlinear dynamical systems with emerging chaotic behavior, together with its characterization.
Learning Outcomes The students who succeeded in this course;
  • define nonlinear dynamical systems.
  • classify some of the nonlinear dynamical systems in nature.
  • determine the emergence of chaos in nonlinear dynamical equations.
  • calculate limit cycles, fixed points, bifurcation points in phase space picture.
  • characterize the route to chaotic behavior.
Course Description Models for the behavior of particles described by the nonlinear dynamical equations will be developed, and characterization and applications of emerging chaos in these equations will be discussed.

 



Course Category

 Core Courses
Major Area Courses
X
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Required Materials
1 Overview, chaos, fractals Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 1. ISBN: 9780813349107
2 Flow on a line Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 2. ISBN: 9780813349107
3 Bifurcation Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 3. ISBN: 9780813349107
4 Flow on a circle Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 4. ISBN: 9780813349107
5 2 dimensional systems: linear systems Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 5. ISBN: 9780813349107
6 Phase space Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 6. ISBN: 9780813349107
7 Midterm exam 1
8 Limit cycles Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 7. ISBN: 9780813349107
9 Bifurcation in 2d systems Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 8. ISBN: 9780813349107
10 Lorenz equation Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 9. ISBN: 9780813349107
11 One dimensional maps Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 10. ISBN: 9780813349107
12 Fractals - Midterm exam 2 Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 11. ISBN: 9780813349107
13 Strange attractors Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 12. ISBN: 9780813349107
14 Strange attractors Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 12. ISBN: 9780813349107
15 Semester review
16 Final Exam
Course Notes/Textbooks

Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). ISBN: 9780813349107
Suggested Readings/Materials

Linda. E. Reichl, The Transition to Chaos (Springer Verlag, 1992). ISBN: 9780387977539

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
1
10
Laboratory / Application
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
1
10
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterm
2
40
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
4
60
Weighting of End-of-Semester Activities on the Final Grade
1
40
Total

ECTS / WORKLOAD TABLE

Semester Activities Number Duration (Hours) Workload
Course Hours
(Including exam week: 16 x total hours)
16
2
32
Laboratory / Application Hours
(Including exam week: 16 x total hours)
16
2
Study Hours Out of Class
12
3
36
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
5
2
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterms
2
10
Final Exams
1
20
    Total
150

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
 Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5
1

To be able master and use fundamental phenomenological and applied physical laws and applications,

 X
2

To be able to identify the problems, analyze them and produce solutions based on scientific method,

 X
3

To be able to collect necessary knowledge, able to model and self-improve in almost any area where physics is applicable and able to criticize and reestablish his/her developed models and solutions,

 X
4

To be able to communicate his/her theoretical and technical knowledge both in detail to the experts and in a simple and understandable manner to the non-experts comfortably,
5

To be familiar with software used in area of physics extensively and able to actively use at least one of the advanced level programs in European Computer Usage License,
6

To be able to develop and apply projects in accordance with sensitivities of society and behave according to societies, scientific and ethical values in every stage of the project that he/she is part in,
7

To be able to evaluate every all stages effectively bestowed with universal knowledge and consciousness and has the necessary consciousness in the subject of quality governance,
8

To be able to master abstract ideas, to be able to connect with concreate events and carry out solutions, devising experiments and collecting data, to be able to analyze and comment the results,
9

To be able to refresh his/her gained knowledge and capabilities lifelong, have the consciousness to learn in his/her whole life,
10

To be able to conduct a study both solo and in a group, to be effective actively in every all stages of independent study, join in decision making stage, able to plan and conduct using time effectively.
11

To be able to collect data in the areas of Physics and communicate with colleagues in a foreign language ("European Language Portfolio Global Scale", Level B1).
12

To be able to speak a second foreign at a medium level of fluency efficiently
13

To be able to relate the knowledge accumulated throughout the human history to their field of expertise.

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest