UNIVERSALITY IN THE PEROXIDASE OXIDASE REACTION - PERIOD DOUBLINGS, CHAOS, PERIOD-3, AND UNSTABLE LIMIT-CYCLES

被引:47
作者
STEINMETZ, CG
GEEST, T
LARTER, R
机构
[1] INDIANA UNIV PURDUE UNIV,DEPT CHEM,402 N BLACKFORD ST,INDIANAPOLIS,IN 46202
[2] ODENSE UNIV,INST BIOCHEM,DK-5230 ODENSE,DENMARK
关键词
D O I
10.1021/j100123a031
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
Recently we reported on a period doubling route to chaos in the peroxidase-oxidase (PO) reaction. This was the first report of a universal route to chaos in the PO reaction. Here we present further evidence of universality in the transition to chaos in the PO reaction. We have observed period three oscillations under conditions near where chaotic oscillations are found, and we have found that chaotic oscillations in this reaction contain unstable periodic orbits. We also report numerical results from a simple model of the PO reaction. These theoretical calculations qualitatively reproduce the spectrum of behaviors observed in this reaction.
引用
收藏
页码:5649 / 5653
页数:5
相关论文
共 26 条
[1]   SUSTAINED OSCILLATIONS AND BISTABILITY IN A DETAILED MECHANISM OF THE PEROXIDASE OXIDASE REACTION [J].
AGUDA, BD ;
LARTER, R .
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1990, 112 (06) :2167-2174
[2]   OSCILLATIONS IN CELL CALCIUM - PREFACE [J].
CUTHBERTSON, KSR ;
COBBOLD, PH .
CELL CALCIUM, 1991, 12 (2-3) :61-62
[3]  
Degn H., 1979, ANN NY ACAD SCI, V316, P623, DOI 10.1111/j.1749-6632.1979.tb29503.x
[4]  
DEVANEY RL, 1989, INTRO CHAOTIC DYNAMI, pCH1
[5]  
Field R.J., 1993, CHAOS CHEM BIOCH
[6]   PERIOD-DOUBLING BIFURCATIONS AND CHAOS IN AN ENZYME REACTION [J].
GEEST, T ;
STEINMETZ, CG ;
LARTER, R ;
OLSEN, LF .
JOURNAL OF PHYSICAL CHEMISTRY, 1992, 96 (14) :5678-5680
[7]   INVOLVEMENT OF MALATE, MONOPHENOLS, AND SUPEROXIDE RADICAL IN HYDROGEN-PEROXIDE FORMATION BY ISOLATED CELL-WALLS FROM HORSERADISH (ARMORACIA-LAPATHIFOLIA-GILIB) [J].
GROSS, GG ;
JANSE, C ;
ELSTNER, EF .
PLANTA, 1977, 136 (03) :271-276
[9]   CHAOTIC NATURE OF BURSTING DISCHARGES IN THE ONCHIDIUM PACEMAKER NEURON [J].
HAYASHI, H ;
ISHIZUKA, S .
JOURNAL OF THEORETICAL BIOLOGY, 1992, 156 (03) :269-291
[10]  
HINDMARSH AC, 1980, ACM SIGNUM NEWSLETTE, V15, P10, DOI DOI 10.1145/1218052.1218054