Information Package / Course Catalogue
Nonlinear Dynamic and Chaos I
Course Code: FİZ412
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 gain knowledge about nonlinear physics and chaos and to explore their formations in nature.

Course Content

Attractors, bifurcation, linear and nonlinear oscillators, periodic and chaotic attractors, stability and bifurcation maps, chaotic motion.

Name of Lecturer(s)
Learning Outcomes
1.Know the difference between linear and nonlinear systems.
2.Have knowledge about attractors.
3.Have knowledge about stability and bifurcation maps.
4.Have knowledge about chaotic motion in one-dimensional maps.
5.Have knowledge about chaotic motion in two-dimensional maps.
6.Have knowledge about chaotic motion.
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
History of nonlinear physics
Week 2 - Theoretical
Attractors and bifurcation
Week 3 - Theoretical
Linear and nonlinear oscillators
Week 4 - Theoretical
Point tractors in autonomous systems
Week 5 - Theoretical
Limit cycles in autonomous systems
Week 6 - Theoretical
Periodic attractors in driven oscillators
Week 7 - Theoretical
Chaotic attractors in forced oscillators
Week 8 - Theoretical
Stability and bifurcations in equilibrium and cycle states (Midterm)
Week 9 - Theoretical
Stability and bifurcation maps
Week 10 - Theoretical
Stability and bifurcation maps
Week 11 - Theoretical
Chaotic behavior in one- and two-dimensional maps
Week 12 - Theoretical
Chaotic behavior in one- and two-dimensional maps
Week 13 - Theoretical
Chaotic movements of an acting system
Week 14 - Theoretical
Chaotic movements of an acting system
Assessment Methods and Criteria
Type of AssessmentCountPercent
Attending Lectures1%5
Assignment1%5
Midterm Examination1%30
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140342
Assignment1224
Midterm Examination119221
Final Examination135237
TOTAL WORKLOAD (hours)104
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
OÇ-1
5
5
4
1
3
1
3
3
3
1
2
OÇ-2
4
4
3
1
3
1
3
2
2
1
1
OÇ-3
4
5
5
1
4
1
3
3
3
1
2
OÇ-4
4
5
5
1
4
1
3
3
3
1
2
OÇ-5
4
5
5
1
4
1
3
3
3
1
2
OÇ-6
4
5
4
1
3
1
3
3
3
1
2
Adnan Menderes University - Information Package / Course Catalogue
2026