Searching for strange attractor in wastewater flow

  • H. S. Kim
  • Y. N. Yoon
  • J. H. Kim

DOI: 10.1007/s004770100078

Cite this article as:
Kim, H., Yoon, Y. & Kim, J. Stochastic Environmental Research and Risk Assessment (2001) 15: 399. doi:10.1007/s004770100078

Abstract.

 Chaos is a complex and irregular world in contrast with simple and regular natures of linear systems. Scientists and engineers have invoked low-dimensional chaos for understanding the nature of real systems. In this study, the complex behavior of a daily wastewater flow and evidence of deterministic nonlinear dynamics are investigated. The analysis involves both a metric approach of the correlation dimension and a topological technique called the close returns plot. The estimation procedure of delay time and delay time window is reviewed using a new technique called the C–C method for the state space reconstruction. And both parameters are used for estimating the correlation dimension. As a result, the daily wastewater flow shows no evidence of chaotic dynamics, which implies that stochastic models rather than deterministic chaos may be more appropriate for representing an investigated series.

Key words: Chaos, water treatment, embedding, BDS statistic, correlation dimension, close returns. 

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • H. S. Kim
    • 1
  • Y. N. Yoon
    • 2
  • J. H. Kim
    • 2
  1. 1.Department of Civil Engineering, Sun Moon University, Asan-si, Chungnam, KoreaKR
  2. 2.Department of Civil and Environmental Engineering, Korea University, Seoul, KoreaKR
  3. 3.Department of Civil Engineering, Kwangju University, Kwangju City, KoreaKR

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