Abstract

The indicators of the composition and quality of natural water are random variables. Since the “linear” approach to their assessment and forecast provides no acceptable results, it necessary to take the nonlinearity of natural hydraulic systems into account. We have made a nonlinear logistic description of the variations in the concentration of pollutants, making it possible to assess the water composition depending on the intensity of its pollution and self-purification. Based on the results obtained, we have revealed cyclic fluctuations of the indicators monitored with amplitude decreasing at a low pollution rate and increasing with its rise. Occasionally, they are accompanied by bifurcations with a further transition to complete chaos.

中文翻译：

---

水质形成中的非线性影响

摘要

天然水的成分和质量的指标是随机变量。由于评估和预测的“线性”方法无法提供可接受的结果，因此有必要考虑自然液压系统的非线性。我们对污染物浓度的变化进行了非线性逻辑描述，从而可以根据污染程度和自净程度评估水的成分。根据获得的结果，我们揭示了监测指标的周期性波动，其振幅在低污染率下减小，并随其上升而增大。有时，它们伴随着分叉，并进一步过渡到完全混乱。