PERIOD DOUBLING AND CHAOS IN A 3-VARIABLE AUTOCATALATOR

被引：78

作者：

PENG, B

SCOTT, SK

SHOWALTER, K

机构：

[1] W VIRGINIA UNIV,DEPT CHEM,MORGANTOWN,WV 26506

[2] UNIV LEEDS,DEPT PHYS CHEM,LEEDS LS2 9JT,W YORKSHIRE,ENGLAND

来源：

JOURNAL OF PHYSICAL CHEMISTRY | 1990年 / 94卷 / 13期

关键词：

D O I：

10.1021/j100376a014

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：

A three-variable extension of the classical two-variable autocatalator is presented as a prototype for complex dynamical behavior in isothermal chemical reactions. The model is closely related to recent extensions of the autocatalator involving temperature feedback. Period doubling and chaos with periodic windows are found on varying a bifurcation parameter. The bifurcation sequence is a remerging Feigenbaum tree, with period doubling leading to chaos followed by a reverse sequence leading back to period 1. © 1990 American Chemical Society.

引用

页码：5243 / 5246

页数：4