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Course Information
Course Unit Title : DYNAMICS OF NONLINEAR SYSTEMS
Course Unit Code : 01MAK5163
Type of Course Unit : Optional
Level of Course Unit : Second Cycle
Year of Study : 1
Semester : 1.Semester
Number of ECTS Credits Allocated : 6,00
Name of Lecturer(s) : ---
Course Assistants :
Learning Outcomes of The Course Unit :
Mode of Delivery : Face-To-Face
Prerequisities and Co-requisities Courses : Unavailable
Recommended Optional Programme Components : Unavailable
Course Contents : Qualitative methods: phase planes, bifurcation theory, center manifolds, normal forms, Lyapanov stability. Quantitative methods: perturbation methods, Floquet theory, KBM theory, method of averaging. Differential Equations and Maps. Chaotic Dynamics.
Languages of Instruction : Turkish
Course Goals : 1) Ability to measure physical behavior of a dynamical system qualitatively
2) Ability to measure physical behavior of a dynamical system quantitatively
Course Aims : To develop ability of modeling and analyzing of nonlinear dynamical systems
WorkPlacement   Not Available
Recommended or Required Reading
Textbook :
Additional Resources : Wiggins, S., Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag, 1990, USA.
Material Sharing
Documents :
Assignments :
Exams :
Additional Material :
Planned Learning Activities and Teaching Methods
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary)
ECTS / Table Of Workload (Number of ECTS credits allocated)
Student workload surveys utilized to determine ECTS credits.
Activity :
Number Duration Total  
Course Duration (Excluding Exam Week) :
14 3 42  
Time Of Studying Out Of Class :
14 3 42  
Homeworks :
4 10 40  
Presentation :
0 0 0  
Project :
0 0 0  
Lab Study :
0 0 0  
Field Study :
0 0 0  
Visas :
1 20 20  
Finals :
1 25 25  
Workload Hour (30) :
30  
Total Work Charge / Hour :
169  
Course's ECTS Credit :
6      
Assessment Methods and Criteria
Studies During Halfterm :
Number Co-Effient
Visa :
1 80
Quiz :
0 0
Homework :
4 20
Attendance :
0 0
Application :
0 0
Lab :
0 0
Project :
0 0
Workshop :
0 0
Seminary :
0 0
Field study :
0 0
   
TOTAL :
100
The ratio of the term to success :
50
The ratio of final to success :
50
TOTAL :
100
Weekly Detailed Course Content
Week Topics  
1 Introduction
 
2 Phase planes
 
3 Bifurcation theory
 
4 Center manifolds
 
5 Normal forms
 
6 Lyapanov stability
 
7 Perturbation methods
 
8 Floquet theory
 
9 Midterm exam
 
10 KBM theory
 
11 Method of averaging
 
12 Differential Equations and Maps
 
13 Chaotic Dynamics
 
14 General evaluation