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首页> 外文期刊>Frontiers in Chemistry >Intermittent Chaos in the CSTR Bray–Liebhafsky Oscillator-Specific Flow Rate Dependence
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Intermittent Chaos in the CSTR Bray–Liebhafsky Oscillator-Specific Flow Rate Dependence

机译:CSTR BRAY-LIEBHAFSKY振荡器特定流量依赖性的间歇混乱

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Dynamic states with intermittent oscillations consisted of a chaotic mixture of large amplitude relaxation oscillations grouped in bursts, and between them, small-amplitude sinusoidal oscillations, or even the quiescent parts, known as gaps were experimentally generated in a Bray–Liebhafsky (BL) oscillatory reaction in an isothermal continuously-fed well-stirred tank reactor (CSTR) as a function of specific flow rate as a control parameter. They were found between two regular periodic states obtained for specific flow rate values about 0.020 min-1 and 0.082 min-1. In the terms of the largest Lyapunov exponents, calculated from experimentally obtained time series, as well as phenomenological analysis based on the quantitative characteristics of intermittent oscillations, it was shown that the chaotic complexity arises from both bifurcations approaching to the vertical asymptote which is somewhere between them showing route to fully developed chaos. Hence, the route to fully developed chaos in the Bray-Liebhafsky oscillatory reaction is proposed as an explanation for experimentally observed intermittent dynamics. This is in good correlation with our previously obtained results where the most chaotic intermittent chaos was achieved between periodic oscillatory dynamic state and stable steady state generated in BL under CSTR conditions by varying temperature and inflow potassium iodate concentration. Moreover it was shown that, besides largest Lyapunov exponent, analysis of chaos in experimentally obtained intermittent states can be achieved by simpler approach which involves usage of quantitative characteristics of the BL reaction evolution, that is the number and length of gaps and bursts obtained for various values of specific flow rates.
机译:具有间歇振荡的动态状态包括在突发中分组的大振幅松弛振荡的混沌混合物,并且在它们之间,小幅度正弦振荡,甚至是静止部件,称为间隙在Bray-Liebhafsky(BL)振荡中是实验产生的作为对照参数的特定流速的函数,在等温烯烃中的反应作为对照参数的函数。它们在针对特定流速值获得的两个常规周期状态之间发现,约0.020 min-1和0.082 min-1。在基于实验获得的时间序列的最大Lyapunov指数的条款中,以及基于间歇振荡的定量特性的现象学分析,表明混沌复杂性来自两种分叉接近的垂直渐近之间的分数他们展示了完全发育混乱的路线。因此,提出了在Bray-Liebhafsky振荡反应中完全发育混乱的途径作为实验观察到的间歇动态的解释。这与我们先前获得的结果良好的相关性,其中通过不同的温度和流入碘酸钾浓度在CSTR条件下在BB下产生的周期性振荡动态状态和稳定稳态之间实现了最混杂间歇混乱。结果表明,除了最大的Lyapunov指数之外,通过更简单的方法可以通过更简单的方法来实现在实验获得的间歇状态中的混沌分析,这涉及使用BL反应进化的定量特性,这是各种空隙和突发的数量和长度特定流速的值。

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