Searching for strange attractor in wastewater flow

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

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)399-413
Number of pages15
JournalStochastic Environmental Research and Risk Assessment
Issue number5
Publication statusPublished - 2001 Jan 1


  • BDS statistic
  • Chaos
  • Close returns
  • Correlation dimension
  • Embedding
  • Water treatment

ASJC Scopus subject areas

  • Environmental Engineering
  • Environmental Chemistry
  • Water Science and Technology
  • Safety, Risk, Reliability and Quality
  • General Environmental Science


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