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MTO 604E
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Course Information
Course Name
Turkish
Lineer Olmayan Zaman Serileri Analizi
English
Nonlinear Time Series Analysis
Course Code
MTO 604E
Credit
Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester
2
3
3
-
-
Course Language
English
Course Coordinator
Kasım Koçak
Course Objectives
The main purpose of this course is to reconstruct the phase space by using a time series in order to estimate the underlying dynamics that produces the time series in question.
Course Description
Dynamical systems and chaos. Characterization of dynamical systems: Autocorrelation function, Mutual information function, power spectrum, Lyapunov exponents, Poincaré section, fractal dimensions. Dimension algorithms. Determinism in time series: Reconstruction of phase space, choosing delay time, determination of embedding and attractor dimensions. Noise reduction in phase space. Prediction of chaotic time series. Reconstruction of differential equations from time series.
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