Information Package / Course Catalogue
Nonlinear Dynamics and Chaos
Course Code: FZK517
Course Type: Area Elective
Couse Group: Second Cycle (Master's Degree)
Education Language: Turkish
Work Placement: 
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

To gain the basic concepts and applications of chaos and nonlinear dynamics

Course Content

Linear and nonlinear dynamical systems, phase space representation, 1 and 2D flow diagrams, Limit cycle, Lyapunov exponents, Chaos, Fractals

Name of Lecturer(s)
Lec. Şerife Gökçe ÇALIŞKAN
Learning Outcomes
1.To be able to distinguish chaotic systems and analyse their features
2.To be able to understand and feature one and higher dimensional dynamical systems
3.To be able to calculate of Feigenbaum constants and Lyapunov exponents in dissipative dynamical systems
4.To be able to get the insight of chaos paths and analyse the differences and general features of them
5.To be able to construct the relation of chaos concept with the other branches of Physics
Recommended or Required Reading
1.Nonlinear Dynamics and Chaos,S.H.Strogatz,
2.Introduction to Nonlinear Dynamics and Chaos, www.cns.gatech.edu/~roman/phys4267/index.html
Weekly Detailed Course Contents
Week 1 - Theoretical
Introduction to linear and nonlinear systems.
Week 1 - Preparation Work
Nonl. Dyna. and Chaos, www.cns.gatech.edu/~roman/phys4267/index.htm
Week 2 - Theoretical
Representation of motion equations in phase space
Week 2 - Preparation Work
Introduction to Nonlinear Dynamics and Chaos, S.H.Strogatz, Ch.2
Week 3 - Theoretical
Flux diagram of one and two dimensional systems
Week 3 - Preparation Work
Introduction to Nonlinear Dynamics and Chaos, S.H.Strogatz, Ch.2
Week 4 - Theoretical
Instability of simple nonlinear systems and chaos
Week 4 - Preparation Work
Introduction to Nonlinear Dynamics and Chaos, S.H.Strogatz, Ch.9
Week 5 - Theoretical
Limit cycle and investigation of system instabilities
Week 5 - Preparation Work
Nonl. Dyna. and Chaos, www.cns.gatech.edu/~roman/phys4267/index.htm
Week 6 - Theoretical
Definition of chaos and its reasons
Week 6 - Preparation Work
Introduction to Nonlinear Dynamics and Chaos, S.H.Strogatz, Ch.10
Week 7 - Theoretical
Perturbation methods for nonlinear dynamical systems
Week 7 - Preparation Work
Introduction to Nonlinear Dynamics and Chaos, S.H.Strogatz, Ch.7
Week 8 - Theoretical
Perturbation methods for nonlinear dynamical systems (Midterm Exam)
Week 9 - Theoretical
The meaning of Lyapunov exponents
Week 9 - Preparation Work
Introduction to Nonlinear Dynamics and Chaos, S.H.Strogatz, Ch.10
Week 10 - Theoretical
Calculation of Lyapunov exponents of some systems and chaos
Week 10 - Preparation Work
Introduction to Nonlinear Dynamics and Chaos, S.H.Strogatz, Ch.10
Week 11 - Theoretical
Investigation of some chaotic systems: Lorenz systems
Week 11 - Preparation Work
Introduction to Nonlinear Dynamics and Chaos, S.H.Strogatz, Ch.6
Week 12 - Theoretical
Introduction to Fractals
Week 12 - Preparation Work
Nonl. Dyna. and Chaos, www.cns.gatech.edu/~roman/phys4267/index.htm
Week 13 - Theoretical
Phase space for chaotic systems and fractals
Week 13 - Preparation Work
Introduction to Nonlinear Dynamics and Chaos, S.H.Strogatz, Ch.11
Week 14 - Theoretical
Discussion for the importance of chaotic systems
Week 14 - Preparation Work
Nonl. Dyna. and Chaos, www.cns.gatech.edu/~roman/phys4267/index.htm
Week 15 - Theoretical
Discussion for the relation of chaos with other physics brances
Week 15 - Preparation Work
Nonl. Dyna. and Chaos, www.cns.gatech.edu/~roman/phys4267/index.htm
Week 16 - Final Exam
Final Exam
Assessment Methods and Criteria
Type of AssessmentCountPercent
Final Examination1%60
Assignment1%40
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory14103182
Assignment1538
Final Examination17310
TOTAL WORKLOAD (hours)200
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
OÇ-1
4
5
4
4
2
4
2
2
OÇ-2
5
5
4
3
2
4
5
4
OÇ-3
5
4
5
3
2
4
3
2
OÇ-4
5
5
5
3
2
4
3
2
OÇ-5
5
5
4
3
2
4
4
2
Adnan Menderes University - Information Package / Course Catalogue
2026