Institute of Chemistry, Technology and Metallurgy, University of Belgrade, Department of Catalysis and Chemical Engineering, Njegoševa 12, Belgrade, Serbia.
Phys Chem Chem Phys. 2011 Dec 7;13(45):20162-71. doi: 10.1039/c1cp22496d. Epub 2011 Oct 12.
By numerically simulating the Bray-Liebhafsky (BL) reaction (the hydrogen peroxide decomposition in the presence of hydrogen and iodate ions) in a continuously fed well stirred tank reactor (CSTR), we find "structured" types of chaos emerging in regular order with respect to flow rate as the control parameter. These chaotic "structures" appear between each two successive periodic states, and have forms and evolution resembling to the neighboring periodic dynamics. More precisely, in the transition from period-doubling route to chaos to the arising periodic mixture of different mixed-mode oscillations, we are able to recognize and qualitatively and quantitatively distinguish the sequence of "period-doubling" chaos and chaos consisted of mixed-mode oscillations (the "mixed-mode structured" chaos), both appearing in regular order between succeeding periodic states. Additionally, between these types of chaos, the chaos without such recognizable "structures" ("unstructured" chaos) is also distinguished. Furthermore, all transitions between two successive periodic states are realized through bifurcation of chaotic states. This scenario is a universal feature throughout the whole mixed-mode region, as well as throughout other mixed-mode regions obtained under different initial conditions.
通过对连续搅拌釜式反应器（CSTR）中存在氢气和碘酸根离子的过氧化氢分解的 Bray-Liebhafsky（BL）反应进行数值模拟，我们发现随着控制参数流速的变化，会出现有序的“结构”类型混沌。这些混沌“结构”出现在每两个连续的周期状态之间，其形式和演化类似于相邻的周期动力学。更准确地说，在从倍周期分岔到混沌再到不同混合模式振荡的周期性混合的转变中，我们能够识别并定性和定量地区分由混合模式振荡组成的“倍周期”混沌和混沌（“混合模式结构”混沌）的序列，这两种类型的混沌都出现在连续的周期状态之间。此外，还区分了在这些混沌类型之间没有这种可识别“结构”的混沌（“无结构”混沌）。此外，两个连续的周期状态之间的所有转变都是通过混沌状态的分岔来实现的。这种情况是整个混合模式区域以及在不同初始条件下获得的其他混合模式区域的普遍特征。
