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

Fingerprint

Correlation Dimension
Waste Water
Strange attractor
Delay Time
chaotic dynamics
Chaos theory
Chaos
Wastewater
Deterministic Chaos
wastewater
Time delay
Time Windows
Chaotic Dynamics
Nonlinear Dynamics
Stochastic Model
Irregular
State Space
Linear Systems
Stochastic models
Imply

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

Cite this

Searching for strange attractor in wastewater flow. / Kim, H. S.; Yoon, Y. N.; Kim, Joong Hoon; Kim, J. H.

In: Stochastic Environmental Research and Risk Assessment, Vol. 15, No. 5, 01.12.2001, p. 399-413.

Research output: Contribution to journalArticle

Kim, H. S. ; Yoon, Y. N. ; Kim, Joong Hoon ; Kim, J. H. / Searching for strange attractor in wastewater flow. In: Stochastic Environmental Research and Risk Assessment. 2001 ; Vol. 15, No. 5. pp. 399-413.
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