Information Package / Course Catalogue
Nonlinear Dynamic and Chaos II
Course Code: FİZ413
Course Type: Area Elective
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 4
Objectives of the Course

To analyze nonlinear dynamic systems.

Course Content

Spectral analysis of dynamical systems, phase space, Poincare sections, strange attractors, Lorenz equations, Henon attractor, Lyapunov function, Fractals, Approximate entropy, Hurst exponent.

Name of Lecturer(s)
Lec. Şerife Gökçe ÇALIŞKAN
Learning Outcomes
1.Ability to perform spectral analysis of dynamic systems.
2.Ability to analyze the stability of nonlinear dynamic systems using Lyapunov functions.
3.Having knowledge about strange attractors.
4.Ability to determine fractal structures.
5.Ability to define chaotic properties.
6.Having knowledge about chaos.
Recommended or Required Reading
1.Nonlinear Dynamics and Chaos, JMT Thompson & HB Stewart.
2.Nonlinear Dynamics and Chaos, S.H.Strogatz.
Weekly Detailed Course Contents
Week 1 - Theoretical
Spectral analysis of dynamical systems
Week 2 - Theoretical
Phase space
Week 3 - Theoretical
Poincare sections
Week 4 - Theoretical
Fluid dynamics and Rayleigh-Benard convection
Week 5 - Theoretical
Introduction to strange attractors
Week 6 - Theoretical
Lorenz equations
Week 7 - Theoretical
Henon attractor
Week 8 - Theoretical
Lyapunov functions
Week 9 - Theoretical
Lyapunov stability analysis
Week 10 - Theoretical
Fractals
Week 11 - Theoretical
Fractal dimensions
Week 12 - Theoretical
Approximate entropy
Week 13 - Theoretical
Hurst exponent
Week 14 - Theoretical
Intermittency and Quasiperiodicity
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory141356
Midterm Examination120121
Final Examination120121
TOTAL WORKLOAD (hours)98
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
PÇ-14
OÇ-1
4
3
3
2
3
2
2
3
3
3
1
2
3
2
OÇ-2
4
3
3
2
3
2
2
3
3
3
1
2
3
2
OÇ-3
4
3
3
2
3
2
2
3
3
3
1
2
3
2
OÇ-4
4
3
3
2
3
2
2
3
3
3
1
2
3
2
OÇ-5
4
3
3
2
3
2
2
3
3
3
1
2
3
2
OÇ-6
4
3
3
2
3
2
2
3
3
3
1
2
3
2
Adnan Menderes University - Information Package / Course Catalogue
2026