Simulation of the Onset of Nonstationarity and Chaos in a Hydrodynamic System Governed by a Small Number of Degrees of Freedom

被引：4
|
作者：
S. M. Drozdov
机构：
来源：
Fluid Dynamics | 2001年 / 36卷 / 1期
关键词：
Convection; Mathematical Model; Statistical Characteristic; Nonlinear Interaction; Fluid Medium;
D O I：
10.1023/A:1018863206798
中图分类号：
学科分类号：
摘要：
The hypothesis of the onset of nonstationarity and chaos in a hydrodynamic system as a result of the nonlinear interaction of a small number of degrees of freedom is verified experimentally with reference to fluid convection in a toroidal channel. Regimes of motion of a fluid medium which correspond qualitatively to the Lorenz model are obtained experimentally. These include steady-state regimes, their bifurcations, nonuniqueness and instability, unsteady periodic and stochastic regimes. The spectral and statistical characteristics of the and unsteady processes are investigated, the nature of the onset of chaos is analyzed, and the results are compared with calculations. The mathematical model of the problem is refined.
引用
收藏
页码：26 / 38
页数：12
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