TYPE OF COURSE UNIT	Elective Course
LEVEL OF COURSE UNIT	Master's Degree With Thesis
YEAR OF STUDY	-
SEMESTER	-
NUMBER OF ECTS CREDITS ALLOCATED	10
NAME OF LECTURER(S)	-
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) Know the properties of nonlinear systems. 2) Will be able to apply the nonlinear time series analysis methods. 3) Reinforce the theoretical knowledge by preparing a nonlinear time series analysis program. 4) Will be able to review a study that is made in this area and refer the findings as oral and written. 5) Develop an ability to access to scientific knowledge and work independently.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	None
COURSE DEFINITION	Properties of chaotic systems, and general concepts. Discrete (Logistic and Henon equations) and continuous (Lorenz and Rössler equations) chaotic systems. Phase space reconstruction, embedding dimension, time delay, similarity dimension, correlation dimension, capacity dimension, Lyapunov exponents and entropy.
COURSE CONTENTS	WEEK TOPICS 1st Week The features of chaotic systems, and general concepts. 2nd Week Discrete (Logistic and Henon equations) chaotic systems. 3rd Week Continuous (Lorenz and Rössler equations) chaotic systems. 4th Week The methods for phase-space reconstruction (strange attractor reconstruction). 5th Week The algorithms for determining the embedding dimension. 6th Week The statistical quantities for time delay depends on. 7th Week Fractal dimensions, Similarity dimension, Capacity dimension. 8th Week MIDTERM EXAM 9th Week Correlation dimension, Information dimension. 10th Week Lyapunov exponents (Lyapunov spectrum), and methods used in the calculation of Lyapunov exponents 11th Week The largest Lyapunov exponent, entropy 12th Week Other issues (Poincare section, unstable periodic orbits, etc.). 13th Week Paper presentations 14th Week Paper presentations
RECOMENDED OR REQUIRED READING	1. Williams P.G., Chaos Theory Tamed, Joseph Henry Press, 1997. 2. Strogatz, S.H., Nonlinear Dynamics and Chaos with Application to Physics, Biology, Chemistry and Engineering, Perseus Books Publishing, Massachusetts, A.B.D. 3. Kantz, H.,Schreiber, T. Nonlinear Time Series Analysis, Cambridge University press. 2. Edt. 2004. 4. Sprott, J.C., Chaos and Time-Series Analysis, Oxford University Pres, 2003.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Questions/Answers,Presentation,Project
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 30 Project 1 20 Presentation of Article 1 10 Total(%) 60 Contribution of In-term Studies to Overall Grade(%) 60 Contribution of Final Examination to Overall Grade(%) 40 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 3 3 Preparation for Quiz 0 0 0 Individual or group work 14 8 112 Preparation for Final exam 1 40 40 Course hours 14 3 42 Preparation for Midterm exam 1 30 30 Laboratory (including preparation) 0 0 0 Final exam 1 3 3 Homework 2 35 70 Total Workload 300 Total Workload / 30 10 ECTS Credits of the Course 10
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No