Searching for strange attractor in wastewater flow

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

Research output: Contribution to journalArticle

10 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)399-413
Number of pages15
JournalStochastic Environmental Research and Risk Assessment
Volume15
Issue number5
DOIs
Publication statusPublished - 2001 Dec 1

Keywords

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

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Environmental Science(all)
  • Environmental Chemistry
  • Environmental Engineering
  • Water Science and Technology
  • Statistics and Probability

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