Author(s)

Haci Ahmet Yildirim¹, Avadis Simon Hacinliyan^2,3, Ergun Eray Akkaya^2*, Cercis Ikiel⁴

¹Department of Physics, Sakarya University, Adapazari, Turkey.
²Department of Physics, Yeditepe University, Istanbul, Turkey.
³Department of Information Systems and Technologies, Yeditepe University, Istanbul, Turkey.
⁴Department of Geography, Sakarya University, Adapazari, Turkey.

In this study, possible low dimensional chaotic behavior of Sakarya river flow rates is investigated via nonlinear time series techniques. To reveal the chaotic dynamics, the maximal positive Lyapunov exponent is calculated from the reconstructed phase space, which is obtained using the phase space reconstruction method. The method reconstructs a phase space from the scalar time series, which depicts the real system’s invariants Positive values, because the Lyapunov exponent values calculated using the appropriate software program indicate possibility of chaotic behavior. Analyzed data involve the monthly average flow rates of eleven main branches of Sakarya River through the years 1960-2000.

Chaos Theory, Time Series Analysis, Lyapunov Exponent, Mutual Information, False Nearest Neighbors

Yildirim, H. , Hacinliyan, A. , Akkaya, E. and Ikiel, C. (2016) Chaos in Time Series of Sakarya River Daily Flow Rate. Journal of Applied Mathematics and Physics, 4, 1849-1858. doi: 10.4236/jamp.2016.410187.