PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
EKOM 526	CHAOTIC TIME SERIES ANALYSIS	3 + 0	2nd Semester	7,5

COURSE DESCRIPTION

Course Level	Master's Degree
Course Type	Elective
Course Objective	The main purpose of this course is to determine whether time series have chaotic behavior and to analyze by considering the chaotic properties of the series.
Course Content	1. Introduction 2. One-dimensional maps 3. Nonchaotic multidimensional flows 4. Dynamical systems theory 5. Lyapunov exponents 6. Strange attractors 7. Bifurcations 8. Hamiltonian chaos 9. Time-series properties 10. Nonlinear prediction and noise reduction 11. Fractals 12. Fractal dimension 13. Fractal measure and multifractals 14. Nonchaotic fractal sets 15. Spatiotemporal chaos and complexity
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	To be able to use linear and nonlinear methods for noise reduction
2	To be able to reconstruct the phase space according to the false nearest neighborhoods method
3	To be able to examine nonlinear dependence
4	To be able to examine the long memory structure
5	To be able to determine the appropriate embedding dimension.
6	To be able to calculate the Lyapunov exponent to detect chaotic behavior

COURSE'S CONTRIBUTION TO PROGRAM

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	5	70
Hours for off-the-classroom study (Pre-study, practice)	14	5	70
Assignments	1	10	10
Mid-terms	1	20	20
Final examination	1	25	25
Total Work Load ECTS Credit of the Course			195 7,5

COURSE DETAILS

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L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

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