NONLINEAR ANALYSES OF PERIODIC AND CHAOTIC TIME-SERIES FROM THE PEROXIDASE OXIDASE REACTION

被引:16
作者
GEEST, T
OLSEN, LF
STEINMETZ, CG
LARTER, R
SCHAFFER, WM
机构
[1] UNIV ARIZONA,DEPT ECOL & EVOLUTIONARY BIOL,TUCSON,AZ 85721
[2] ODENSE UNIV,INST BIOCHEM,PHYS BIOCHEM GRP,DK-5230 ODENSE,DENMARK
[3] INDIANA UNIV PURDUE UNIV,DEPT CHEM,INDIANAPOLIS,IN 46202
关键词
D O I
10.1021/j100134a012
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
Experimental time series of [O2] generated by the peroxidase-oxidase reaction were analyzed using various methods from nonlinear dynamics. The following results were obtained: (1) Aperiodic time series are chaotic as evidenced by (i) the observation of period doubling bifurcations in response to increasing the amount of 2,4-dichlorophenol in the reaction mixture, (ii) well-defined next amplitude maps, (iii) positive Lyapunov exponents corresponding to about 0.5 bits per orbital excursion, and (iv) fractal dimensions ranging from 2.6 to 2.8. Prediction profiles obtained by subjecting the data to nonlinear forecasting give further evidence of deterministic chaos. (2) The chaotic data are nonuniform, since none of the above-mentioned methods work well when applied to the continuous data. Instead, one has to use a series of maxima. (3) Conclusions 1 and 2 are supported by the fact that similar results obtain for chaotic time series generated by a simple model of the reaction.
引用
收藏
页码:8431 / 8441
页数:11
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