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 language | English |
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Pages (from-to) | 399-413 |
Number of pages | 15 |
Journal | Stochastic Environmental Research and Risk Assessment |
Volume | 15 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2001 Jan 1 |
Keywords
- 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