Deterministic chaos in the Belousov-Zhabotinsky reaction: Experiments and simulations

被引:43
作者
Zhang, Dongmei [1 ]
Gyoergyi, Laszlo [2 ]
Peltier, William R. [1 ]
机构
[1] Univ Toronto, Dept Phys, Toronto, ON M5S 1A7, Canada
[2] Lorand Eotvos Univ, Inst Inorgan & Analyt Chem, H-1528 Budapest, Hungary
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1063/1.165933
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An account of the experimental discovery of complex dynamical behavior in the continuous-flow, stirred tank reactor (CSTR) Belousov-Zhabotinsky (BZ) reaction, as well as numerical simulations based on the BZ chemistry are given. The most recent four- and three-variable models that are deduced from the well-accepted, updated chemical mechanism of the BZ reaction and which exhibit robust chaotic states are summarized. Chaos has been observed in experiments and simulations embedded in the regions of complexities at both low and high flow rates. The deterministic nature of the observed aperiodicities at low flow rates is unequivocally established. However, controversy still remains in the interpretation of certain aperiodicities observed at high flow rates.
引用
收藏
页码:723 / 745
页数:23
相关论文
共 123 条
[31]   SUSTAINED OSCILLATIONS AND OTHER EXOTIC PATTERNS OF BEHAVIOR IN ISOTHERMAL REACTIONS [J].
GRAY, P ;
SCOTT, SK .
JOURNAL OF PHYSICAL CHEMISTRY, 1985, 89 (01) :22-32
[32]  
Graziani K. R., 1976, CHEM ENG J, V12, P9
[33]   BIFURCATION OF MAPS OF INTERVAL [J].
GUCKENHEIMER, J .
INVENTIONES MATHEMATICAE, 1977, 39 (02) :165-178
[34]   APERIODICITY RESULTING FROM EXTERNAL AND INTERNAL 2-CYCLE COUPLING IN THE BELOUSOV-ZHABOTINSKII REACTION [J].
GYORGYI, L ;
FIELD, RJ .
JOURNAL OF PHYSICAL CHEMISTRY, 1988, 92 (25) :7079-7088
[35]   APERIODICITY RESULTING FROM 2-CYCLE COUPLING IN THE BELOUSOV-ZHABOTINSKII REACTION .2. MODELING OF THE EFFECT OF DEAD SPACES AT THE INPUT PORTS OF A CONTINUOUS-FLOW STIRRED TANK REACTOR [J].
GYORGYI, L ;
FIELD, RJ .
JOURNAL OF PHYSICAL CHEMISTRY, 1989, 93 (07) :2865-2867
[36]   SIMPLE-MODELS OF DETERMINISTIC CHAOS IN THE BELOUSOV-ZHABOTINSKY REACTION [J].
GYORGYI, L ;
FIELD, RJ .
JOURNAL OF PHYSICAL CHEMISTRY, 1991, 95 (17) :6594-6602
[37]   CONFIRMATION OF HIGH FLOW-RATE CHAOS IN THE BELOUSOV-ZHABOTINSKY REACTION [J].
GYORGYI, L ;
FIELD, RJ ;
NOSZTICZIUS, Z ;
MCCORMICK, WD ;
SWINNEY, HL .
JOURNAL OF PHYSICAL CHEMISTRY, 1992, 96 (03) :1228-1233
[38]   A NOVEL MODEL FOR THE SIMULATION OF CHAOS IN LOW-FLOW-RATE CSTR EXPERIMENTS WITH THE BELOUSOV ZHABOTINSKY REACTION - A CHEMICAL MECHANISM FOR 2 FREQUENCY OSCILLATIONS [J].
GYORGYI, L ;
REMPE, SL ;
FIELD, RJ .
JOURNAL OF PHYSICAL CHEMISTRY, 1991, 95 (08) :3159-3165
[39]   A 3-VARIABLE MODEL OF DETERMINISTIC CHAOS IN THE BELOUSOV-ZHABOTINSKY REACTION [J].
GYORGYI, L ;
FIELD, RJ .
NATURE, 1992, 355 (6363) :808-810
[40]   MECHANISTIC DETAILS OF THE OSCILLATORY BELOUSOV-ZHABOTINSKII REACTION [J].
GYORGYI, L ;
TURANYI, T ;
FIELD, RJ .
JOURNAL OF PHYSICAL CHEMISTRY, 1990, 94 (18) :7162-7170