APERIODICITY AND DETERMINISTIC CHAOS IN THE BELOUSOV-ZHABOTINSKY REACTION

被引:18
作者
BLITTERSDORF, R [1 ]
MUNSTER, AF [1 ]
SCHNEIDER, FW [1 ]
机构
[1] UNIV WURZBURG,INST PHYS CHEM,MARCUSSTR 9-11,W-8700 WURZBURG,GERMANY
关键词
D O I
10.1021/j100193a046
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Deterministic chaos in the Belousov-Zhabotinsky reaction is well-known to occur at low flow rates. 1-6 However, the source of aperiodicity in the high flow rate region has remained a controversial issue. We reproduced the aperiodicity found by Hudson 7,8 and, more recently, by Noszticzius et al. 9 under practically identical experimental conditions. We interpret the observed aperiodicity at high flow rates as nonchaotic on the basis of the 1-D maps and Renyi dimensions (calculated with the nearest neighbor method 11-13 from single value decomposition reconstructed 10 attractors), including the Hausdorff dimension. The observed aperiodicity at high flow rates is most probably a noisy time series of the 1(1)1(2) state and the adjoining Farey ordered states.
引用
收藏
页码:5893 / 5897
页数:5
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