首页> 外文会议>ASME international mechanical engineering congress and exposition;IMECE2011 >PROMOTING OR SUPPRESSING TRANSITION TO WEAK TURBULENCE IN POROUS MEDIA CONVECTION VIA FEEDBACK CONTROL
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PROMOTING OR SUPPRESSING TRANSITION TO WEAK TURBULENCE IN POROUS MEDIA CONVECTION VIA FEEDBACK CONTROL

机译:通过反馈控制促进或抑制过渡到多孔介质对流中的弱湍流

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A method of using feedback control to promote or suppress the transition to chaos in porous media convection is demonstrated in this paper. Feedback control is used in the present paper to provide a comparison between an analytical expression for the transition point to chaos and numerical results. In addition it is shown that such a feedback control can be applied as an excellent practical means for controlling (suppressing or promoting) chaos by using a Magyari transformation . The latter shows that the controlled model can be transformed into the uncontrolled one via a simple transformation of variables implying that the main effect the feedback control has on the solution is equivalent to altering the initial conditions. The theoretical and practical significance of such an equivalent alteration of the initial conditions is presented and discussed.
机译:本文介绍了一种使用反馈控制来促进或抑制多孔介质对流中过渡到混沌的方法。本文使用反馈控制来提供过渡点到混沌的解析表达式与数值结果之间的比较。另外,示出了这种反馈控制可以用作通过使用Magyari变换来控制(抑制或促进)混沌的极好的实用手段。后者表明,可通过简单的变量转换将受控模型转换为非受控模型,这表明反馈控制对解的主要影响等同于更改初始条件。提出并讨论了初始条件的这种等效改变的理论和实践意义。

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