HOMOCLINIC CHAOS IN CHEMICAL-SYSTEMS
HOMOCLINIC CHAOS IN CHEMICAL-SYSTEMS
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DOI：
10.1016/0167-2789(93)90278-9
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发表时间：
1993-01-30
影响因子：
4
通讯作者：
RICHETTI, P
中科院分区：
文献类型：
--
作者：
ARNEODO, A;ARGOUL, F;RICHETTI, P
我们首先集中在均匀介质中的化学动力学所产生的复杂的动力学现象。我们评论的周期和混沌状态的交替序列中观察到的Belousov-Zhabotinsky反应时，在连续搅拌釜反应器中进行的一些实验。我们提出的数值结果与七变量Oregonator模型再现的实验序列的大部分功能。我们根据存在于同宿性道路上的混乱轨道来讨论沿着这些序列遇到的化学混乱的起源和性质。我们构造了Poincare映射模型，在强面积收缩极限下，该模型可以简化为多峰或多分支ID映射。本文报道了最近的一个实验，证明了由“螺旋型”奇异吸引子时间序列推导出的迭代方案满足Sil'nikov同宿混沌理论所预言的符号动力学，并研究了一维等扩散系数反应扩散系统的时空斑图形成现象.当通过系统施加浓度梯度时，该模型模拟了在最近的开放式库埃特流反应器中进行的实验中观察到的持续静止和周期性振荡的“前结构”。我们强调的可能性，振荡的空间结构变得混乱。我们报告的扩散引起的间歇性爆裂现象，很可能是在实验台上观察到的数值模拟。我们阐述了Sil'nikov的同宿混沌在扩展系统中的空间局部化结构的这种间歇性发生的解释。
We first focus on complex dynamical phenomena generated by chemical kinetics in homogeneous media. We comment on the alternating sequences of periodic and chaotic states observed in some experiments on the Belousov-Zhabotinsky reaction when conducted in a continuously stirred tank reactor. We present numerical results obtained with a seven-variable Oregonator model which reproduce most of the features of the experimental sequences. We discuss the origin and the nature of the chemical chaos encountered along these sequences in terms of the chaotic orbits which exist on the way to homoclinicity. We construct Poincare map models which reduce to either multi-humped or multi-branched ID maps in the strong area contraction limit. We report on a recent experiment which provides evidence that the iteration scheme deduced from the time-series of ''spiral-type' strange attractors satistifies the symbolic dynamics predicted by Sil'nikov's theory of homoclinic chaos.We then investigate spatio-temporal pattern forming phenomena in a one-dimensional reaction-diffusion system with equal diffusion coefficients. When imposing a concentration gradient through the system, this model mimics the sustained stationary and periodically oscillating ''front structures'' observed in recent experiments conducted in an open Couette flow reactor. We emphasize the possibility that the oscillations of the spatial structure become chaotic. We report on numerical simulations of a diffusion-induced intermittent bursting phenomenon that is likely to be observed in bench experiments. We elaborate on the interpretation of this intermittent occurrence of spatially localized structures in an extended system in terms of Sil'nikov's homoclinic chaos.