Complex and Chaotic Oscillations in a Model for the Catalytic Hydrogen Peroxide Decomposition under Open Reactor Conditions

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• 作者：Guy Schmitz ; Ljiljana Kolar-Ani//pubs.acs.org/images/entities/cacute.gif" border="0"> ; Slobodan Ani//pubs.acs.org/images/entities/cacute.gif" border="0"> ; Tomislav Grozdi
• 刊名：Journal of Physical Chemistry A
• 出版年：2006
• 出版时间：August 31, 2006
• 年：2006
• 卷：110
• 期：34
• 页码：10361 - 10368
• 全文大小：175K
• 年卷期：v.110,no.34(August 31, 2006)
• ISSN：1520-5215

文摘

Numerous periodic and aperiodic dynamic states obtained in a model for hydrogen peroxide decompositionin the presence of iodate and hydrogen ions (the Bray-Liebhafsky reaction) realized in an open reactor(CSTR), where the flow rate was the control parameter, have been investigated numerically. Between twoHopf bifurcation points, different simple and complex oscillations and different routes to chaos were observed.In the region of the mixed-mode evolution of the system, the transitions between two successive mixed-mode simple states are realized by period-doubling of the initial state leading to a chaotic window in whichthe next dynamic state emerges mixed with the initial one. It appears in increasing proportions in concatenatedpatterns until total domination. Thus, with increasing flow rate the period-doubling route to chaos was obtained,whereas with decreasing flow rate the peak-adding route to chaos was obtained. Moreover, in very narrowregions of flow rates, chaotic mixtures of mixed-mode patterns were observed. This evolution of patternsrepeats until the end of the mixed-mode region at high flow rates that corresponds to chaotic mixtures of onelarge and many small amplitude oscillations. Starting from the reverse Hopf bifurcation point and decreasingthe flow rate, simple small amplitude sinusoidal oscillations were encountered and then the period-doublingroute to chaos. With a further decreasing flow rate, the mixed-mode oscillations emerge inside the chaoticwindow.