Searching for strange attractor in wastewater flow. (English) Zbl 0987.62074

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

Stoch. Environ. Res. Risk Assess. 15, No. 5, 399-413 (2001).

Summary: 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.

MSC:

62P12	Applications of statistics to environmental and related topics
37M10	Time series analysis of dynamical systems

Keywords:

chaos; water treatment; embedding; BDS statistic; close returns; correlation dimension